Calc-1 -
PG - Population Growth
(
Leeuwenhoek ca. 1679 ;
Malthus ca. 1798)
-
Cohen, I. Bernard,
'The Triumph of Numbers',
2005, New York: W. W. Norton, PGCp. 21
(See Leeuwenhoek's 1679 calculation of 13 billion
people for over-population --- an amazingly believable
prediction given that, at 7 billion people around 2017,
the planet is exhibiting definite signs of stress.)
-
Malthus, T.R.,
'Essay on the Principle of Population as it Affects the
Future Improvement of Society',
1998, London: St. Paul's, PGCp. 18
Many versions are available, including at
Chapter 1 - 'Introduction' - Additional Bibliography
-
On Experiments (and their value):
-
Crease, R. P.,
'The Prism and the Pendulum: The Ten Most Beautiful
Experiments in Science',
2004, New York: Random House, PGCp. 16
-
Johnson, G.,
'The Ten Most Beautiful Experiments',
2009, London: Vintage, PGCp. 16
-
Shamos, M. H.,
'Great Experiments in Physics',
1959, New York: Holt, Rinehart, and Winston, PGCp. 16
-
On Equations (great ones):
-
Crease, R. P.,
'The Great Equations',
2008, New York: Norton, PGCp. 16
-
On Theory and Experiment
(how they complement each other):
-
Baggot, J. ,
'Farewell to Reality: How Modern Physics Has Betrayed
the Search for Scientific Truth',
2013, New York: Pegasus, PGCp. 16
Calc-2 -
PT - Pythagorean Triples
-
Britton, J. P., C. Proust and S. Shnider,
'Plimpton 322: A Review and a Different Perspective',
2011, Archive for the History of the Exact Sciences, 519-66,
PGCp. 28, 31, 32
-
Robson, Eleanor,
"Mathematics Education in an Old Babylonian Scribal School",
in 'The Oxford Handbook of the History of Mathematics',
edited by Eleanor Robson and Jacqueline Stedall,
2009, Oxford: Oxford U. Press, PGCp. 27
-
Robson, Eleanor,
"Neither Sherlock Holmes nor Babylon: A Reassessment of
Plimpton 322",
2001, Historia Mathematica 28, 167-206, PGCp. 28
-
Robson, Eleanor,
"Tables and Tabular Formatting in Sumer, Babylonia, and Assyria,
2500BCE-50CE"
in 'The History of Mathematical Tables',
edited by M. Campbell-Kelly, M. Croaken, R. Flood, and E. Robson,
2003, Oxford: Oxford U. Press, PGCp. 28
-
Robson, Eleanor,
"Words and Pictures: New Light on Plimpton 322",
2002, American Mathematical Monthly 108, 105-20, PGCp. 28
Calc-3 -
AP - Archimedes approximates Pi
-
Berggren, L. J. Borwein, and P. Borwein,
'Pi: A Source Book',
1997, New York: Springer-Verlag, PGCp. 39
-
Dijksterhuis, E. J.,
'Archimedes',
1987, Princeton NJ: Princeton U. Press, PGCp. 38, 43, 56
-
Heath, Sir Thomas,
'A History of Greek Mathematics', Vol. 2,
1965, Oxford: The Clarendon Press, PGCp. 38
-
Stein, S.,
'Archimedes: What Did He Do besides Cry Eureka?',
1999, Mathematical Assoc. of America, Washington DC, PGCp. 38, 56
Chapter 2 - 'Ancient Mathematics' - Additional Bibliography
-
Numeric Tablets (NT):
-
Chabert, Jean-Luc, ed.,
'A History of Algorithms',
1999, Berlin: Springer-Verlag, PGCp. 33
-
George, Andrew,
'The Epic of Gilgamesh',
1999, London: Penguin Books, PGCp. 26
-
Gill, A.,
'The Rise and Fall of Babylon',
2011, London: Quercus, PGCp. ?
-
Neugebauer, O.,
'The Exact Science in Antiquity',
1959, New York: Dover, PGCp. 27, 28, 32, 33
-
Robinson, A.,
'Writing and Script: A Very Short Introduction',
2009, Oxford: Oxford U. Press, PGCp. 26
-
Map Tablets (MT):
-
British Museum,
'Map of the World',
at
britishmuseum.org (accessed 2015 Jan 15), PGCp.26
-
Brotton, Jerry,
'A History of the World in Twelve Maps',
2013, London: Penguin, PGCp. 26
-
Chinese Mathematics (CM):
-
Joseph, G. G.,
'The Crest of the Peacock: Non-European Roots of Mathematics',
1992, London: Penguin, PGCp. 41
-
Martzloff, J.-C.,
'A History of Chinese Mathematics',
1997, Berlin: Springer-Verlag, PGCp. 41, 64, 65
-
Yan, Li, and Du Shiran,
'Chinese Mathematics: A Concise History',
translated by N. Crossley and A. W.-C. Lun,
1987, Oxford: Clarendon Press, PGCp. 41, 64, 65
-
Rhind Papyrus (RP):
-
Calinger, R.,
'A Contextual History of Mathematics',
1999, Upper Saddle River, NJ: Prentice Hall, PGCp. 33
-
Gillings, R. J.,
'Mathematics in the Time of the Pharaohs',
1972, New York: Dover, PGCp. 33, 34
-
Robins, G., and C. Shute,
'The Rhind Mathematical Papyrus',
1987, London: British Museum Publications, PGCp. ?
Calc-4 -
LA - Liber Abaci (Fibonacci)
-
Devlin, K.,
'The Man of Numbers: Fibonacci's Arithmetic Revolution',
2011, London: Bloomsbury, PGCp. 44, 48
-
Gies, J., and F. Gies,
'Leonardo of Pisa and the New Mathematics of the Middle Ages',
1969, New York: Thomas Y. Crowell, PGCp. 44
-
Sigler, L. E.,
'Fibonacci's Liber Abaci: A Translation into
Modern English of Leonardo Pisano's Book of Calculation',
2002, New York: Springer-Verlag, PGCp. 45, 46
Calc-5 -
LT - Logarithm Tables (Napier, Briggs)
-
Bruce, I.,
"The Agony and the Ecstasy -- The Development of Logarithms
by Henry Briggs",
2002, Mathematical Gazette 86, 216-27, PGCp. 52, 53
-
Bruce, I.,
"Napier's Logarithms",
2000, American Journal of Physics, 148-54, PGCp. 52
-
Calinger, R.,
'A Contextual History of Mathematics',
1999, Upper Saddle River NJ: Prentice Hall, PGCp. 51, 52, 53
-
Carslaw, H. S.,
"The Discovery of Logarithms by Napier",
1915, Mathematical Gazette 8, 76-84, 115-19, PGCp. 52
-
Goldstine, H. H.,
'A History of Numerical Analysis',
1977, New York: Springer-Verlag, PGCp. 52, 53
-
Horsburgh, E. M.,
'Modern Instruments and Methods of Calculation: A Handbook of the
Napier Tercentenary Exhibition',
1915, London: G. Bell and Sons, PGCp. 54
-
Jagger, G.,
"The Making of Logarithm Tables"
in 'History of Mathematical Tables',
edited by M. Campbell-Kelly, M. Croaken, R. Flood, and E. Robson,
2003, Oxford: Oxford U. Press, PGCp. 52, 53
-
Williams, M. R.,
'A History of Computing Technology',
1985, Englewood Cliffs NJ: Prentice Hall, PGCp. 54
(See Chapter 2.)
Calc-6 -
BP - Basel Problem (Euler)
-
Dunham, W.,
'Euler: The Master of Us All',
1999, Washington DC: Mathematical Assoc. of America, PGCp. 58
-
Euler, L.,
'Introduction to Analysis of the Infinite',
tranlated by J. D. Blanton,
1988, New York: Springer-Verlag, PGCp. 58
-
Kline, M.,
"Euler and Infinite Series",
1983, Mathematics Magazine 56, 307-14, PGCp. 58
Calc-7 -
PN - Prime Number theorem (Gauss)
-
Conway, J. H., and R. K. Guy,
'The Book of Numbers',
1996, New York: Copernicus Springer-Verlag, PGCp. 61
-
Goldstein, L. J.,
"A History of the Prime Number Theorem",
1973, American Mathematical Monthly 80, 599-615, PGCp. 63
-
Lehmer, D. N.,
"On the History of the Problem of Separating a Number
into Its Prime Factors",
1918, Scientific Monthly 7, 227-34, PGCp. 62
-
Tshinkel, Y.,
"About the Cover: On the Distribution of Primes ---
Gauss' Tables",
2005, Bulletin of the American Math. Society 43, 89-91, PGCp. 63
-
Wells, D.,
'Prime Numbers: The Most Mysterious Figures in Math',
2005, Hoboken NJ: John Wiley, PGCp. 61, 63, 64
Chapter 3 - 'Steps into Modern Mathematics' -
Additional Bibliography
-
Pascal's Triangle (PT) :
-
Edwards, A.,
'Pascal's Arithmetical Triangle',
1987, London: Charles Griffin, PGCp. 64
-
Martzloff, J.-C.,
'A History of Chinese Mathematics',
1997, Berlin: Springer-Verlag, PGCp. 41, 64, 65
-
Yan, Li, and Du Shiran,
'Chinese Mathematics: A Concise History',
translated by N. Crossley and A. W.-C. Lun,
1987, Oxford: Clarendon Press, PGCp. 41, 64, 65
-
Gaussian Elimination (GE) :
-
Martzloff, J.-C.,
'A History of Chinese Mathematics',
1997, Berlin: Springer-Verlag, PGCp. 41, 64, 65
-
Yan, Li, and Du Shiran,
'Chinese Mathematics: A Concise History',
translated by N. Crossley and A. W.-C. Lun,
1987, Oxford: Clarendon Press, PGCp. 41, 64, 65
-
Classification of Groups (CG) :
-
Sautoy, Marcus du,
'Symmetry: A Journey into the Patterns of Nature',
2008, New York: Harper Collins, PGCp. 65
-
Benford's Law (BN) :
-
Berger, A., and T. P. Hill,
"Benford's Law Strikes Back: No Simple Explanation
in Sight for Mathematical Gem",
2011, Mathematical Intelligencer 33, 85-91, PGCp. 65
-
Hill, T. P.,
"The First Digit Phenomenon",
1998, American Scientist 86, 358-63, PGCp. 65
-
UnReferenced (?) :
-
Chabert, Jean-Luc, editor,
'A History of Algorithms',
1999, Berlin: Springer-Verlag, PGCp. ?
-
Stillwell, J.,
'Mathematics and Its History',
1989, New York: Springer-Verlag, PGCp. ?
Calc-8 -
ME - Measure Earth (Eratosthenes)
-
Dutka, J.,
"Eratosthanes' Measurement of the Earth Reconsidered",
1993, Archive for the History of Exact Sciences 46, 55-66, PGCp. 70
-
Nicastro, N.,
'Circumference: Eratosthanes and the Ancient Quest to
Measure the Globe',
2008, New York: St. Martin's, PGCp. 68, 70
Calc-9 -
AE - Age of Earth (Kelvin, others)
-
Badash, L.,
"The Age-of-the-Earth Debate",
1989 August, Scientific American, 78-83, PGCp. 71
-
England, P. C., P. Molnar and F. M. Richter,
"Kelvin, Perry and the Age of the Earth",
2007, American Scientist 95, 342-349, PGCp. 76, 77
-
Perry, J.,
"On the Age of the Earth",
1895, Nature 51, 224-27, 341-42, 582-85, PGCp. 76
-
Ruddock, I.,
"Lord Kelvin, Science and Religion",
2004 February, Physics World, 56, PGCp. 74
-
Smith, C., and M. Norton Wise,
'Energy and Empire: A Biographical Study of Lord Kelvin',
1989, Cambridge UK: Cambridge U. Press, PGCp. 73, 76, 77
-
Thomson, Sir William (Lord Kelvin),
"On the Age of the Earth",
1895, Nature 51, 438-40, PGCp. 76
-
Thomson, Sir William (Lord Kelvin),
"On the Secular Cooling of the Earth",
1862, Transactions of the Royal Society of Edinburgh 23,
157-69, PGCp. 73
-
Weintraub, D. A.,
'How Old is the Universe?',
2011, Princeton NJ: Princeton U. Press, PGCp. 72
Calc-10 -
IE - Inside Earth
-
Auer, M., and M. Prior,
"A New Era of Nuclear Test Verification",
2014 September, Physics Today, 39-43, PGCp. 85
-
Bolt, B. A.,
'Earthquakes', 5th edition,
2004, New York: W. H. Freeman, PGCp. 78
-
Brush, S. G.,
"Discovery of the Earth's Core",
1980, American Journal of Physics 48, 705-24, PGCp. 79
-
Buffet, B.,
"Earth's Enigmatic Inner Core",
2013 November, Physics Today 66, 37-41, PGCp. 85
-
Bullen, K. E., and B. A. Bolt,
'An Introduction fo the Theory of Siesmology', 4th edition,
1985, Cambridge: Cambridge U. Press, PGCp. 78
-
Herak, Marijan,
"Mohorovicic Discontinuity",
Andrija Mohorovicic's Memorial Rooms, at
gfz.hr, accessed 2014 Mar 12, PGCp. 83
-
Jarchow, C. M., and G. A. Thompson,
"The Nature of the Mohorovicic Discontinuity",
1989, Annual Review of Earth and Planetary Science 17,
475-506, PGCp. 83, 84
-
Kolbl-Ebert, M.,
"Inge Lehmann's Paper: 'P' (1936)",
2001, Classic Papers in the History of Geology 24, 262-67, PGCp. 82
-
Lehmann, Inge,
"Seismology in the Days of Old",
1987, Eos Transactions American Geophysical Union 68,
33-35, PGCp. 81, 82
-
Oldham, R. D.,
"The Constitution of the Interior of the Earth as
Revealed by Earthquakes",
1906, Quarterly Journal of the Geological Society 62,
456-75, PGCp. 80
-
Oldham, R. D.,
On the Propagation of Earthquake Motion to Great Distances",
1900, Philosophical Transactions of the Royal Society
of London, Series A, 194, 135-74, PGCp. 80
-
Oldroyd, D. R.,
'Thinking about the Earth: A History of Ideas in Geology',
1996, Cambridge MA: Harvard U. Press, PGCp. 78
-
Olson, P.,
"The Geodynamo's Unique Longevity",
2013 November, Physics Today 66, 30-35, PGCp. 85
-
Physics Update,
"Iron's Structure at Earth's Core",
2010 December, Physics Today, 26, PGCp. 85
-
Rousseau, C.,
"How Inge Lehmann Discovered the Inner Core of the Earth",
2013, College Mathematics Journal 44, 399-408, PGCp. 83
-
Umino, S., K. Nealson, and B. Wood,
"Drilling to Earth's Mantle",
2013 August, Physics Today 66, 36-41, PGCp. 84
Calc-11 -
GM - Galileo Motion (falling bodies)
-
Galillei, Galileo,
'Two New Sciences',
translated by Stillman Drake,
1974, Madison: University of Wisconsin Press, PGCp. 86
(Many versions of this book are available.)
Calc-12 -
Tides - Tide Predictions
Cartwright, David Edgar,
Tides: A Scientific History book,
1999, Cambridge University Press.
Center for Operational Oceanographic Products and Services
tidesandcurrents.noaa.gov/harmonic.html web article
(accessed 2014 March 20)
Doodson, Arthur Thomas
The Development of Tidal Theory article
Journal of Navigation 6, pages 177-183, 1953.
Parker, Bruce,
The Tide Predictions for D-Day,
Physics Today 64, pages 35-40, 2011 September
Phillips, Tony (Stony Brook),
Fourier Analysis of Ocean Tides at ams.org
(accessed 2014 March 20)
Thomson, Sir William (Lord Kelvin),
The Tides, Evening Lecture to the British Association
at the Southhampton Meeting, 1882 August 25, Friday
Thomson, Sir William (Lord Kelvin) and
Peter Guthrie Tait,
Principles of Mechanics and Dynamics
(formerly titled 'Treatise on Natural Philosophy'),
1962, Dover
(A republication of the last revised edition of 1912.)
Tide Predicting Machine, Wikipedia article,
accessed 2017 March 27
Chapter 4 - 'Our World' (Earth) -
Additional Bibliography
-
Environmental Modeling (EM) :
-
Wainwright, J. and M. Mulligan,
'Environmental Modelling: Finding Simplicity in Complexity',
2013, Chichester UK: Wiley-Blackwell, PGCp. 97
Calc-13 -
P - Ptolemy (Solar System Model)
-
Chabert, Jean-Luc, editor,
'A History of Algorithms',
1999, Berlin: Springer-Verlag, PGCp. 103, 104
-
Hanson, N. R.,
"The Mathematical Power of Epicycle Astronomy",
1960, Isis 51, 150-58, PGCp. 107
-
Linton, C. M.,
'From Eudoxus to Einstein: A History of Mathematical Astronomy',
2004, Cambridge UK: Cambridge U. Press, PGCp. 104, 107, 108
-
Pederson, O.,
"Scientific Accounts of the Universe from Antiquity to Kepler",
1994, European Review 2, 125-40, PGCp. 100
-
Ptolemy,
'Almagest',
translated and annotated by G. J. Toomer,
1984, London: Duckworth, PGCp. 100
-
Thurston, H.,
'Early Astronomy',
1996, New York: Springer, PGCp. 100
-
Toomer, G. J.,
"Ptolemy",
in 'Dictionary of Scientific Biography',
edited by C. C. Gillespie,
1975, New York: Charles Scribner's Sons, PGCp. 100, 102
-
Van Brummelen, G.,
'The Mathematics of the Heavens and the Earth:
The Early History of Trigonometry',
2009, Princeton NJ: Princeton U. Press, PGCp. 103, 104, 105
Calc-14 -
K - Kepler (Solar System Model)
-
Beer, A., and P. Beer, editors,
'Kepler, Four Hundred Years',
1975, Proceedings of Conferences Held in Honour of
Johannes Kepler, Oxford: Pargamon, PGCp. 110
-
Gingerich, O.,
"The Great Martian Catastrophe and How Kepler Fixed It",
2011 September, Physics Today 64, 50-54, PGCp. 112
-
Gingerich, O.,
"Johannes Kepler",
in 'The General History of Astronomy, Vol. 2,
Planetary Astronomy from the Renaissance to the
Rise of Astrophysics Part A: Tycho Brahe to Newton',
edited by R. Taton and C. Wilson,
1989, Cambridge UK: Cambridge U. Press, PGCp. 112
-
Gingerich, O.,
"Kepler",
in 'Dictionary of Scientific Biography',
edited by C. C. Gillespie,
1975, New York: Charles Scribner's Sons, PGCp. 110
-
Koyre, A.,
'The Astronomical Revolution',
2009, London: Routledge, PGCp. 112
-
Linton, C. M.,
'From Eudoxus to Einstein: A History of Mathematical Astronomy',
2004, Cambridge UK: Cambridge U. Press, PGCp. 112
-
Pask, C.,
'Magnificent Principia: Exploring Isaac Newton's Masterpiece',
2013, Amherst NY: Prometheus Books, PGCp. 115
(See Chapter 12.)
-
Thurston, H.,
'Early Astronomy',
1996, New York: Springer, PGCp. 112
Calc-15 -
MT - Moon Test (Newton)
-
Pask,C.,
'Magnificent Principia: Exploring Isaac Newton's Masterpiece',
2013, Amherst NY: Prometheus Books, PGCp. 115, 117
Calc-16 -
NM - Newton Masses (planets)
-
Cohen, I. B.,
"Newton's Determination of the Masses and Densities of the Sun,
Jupiter, Saturn, and the Earth",
1998, Archive for the History of Exact Sciences 53, 83-95, PGCp. 123
-
Pask,C.,
'Magnificent Principia: Exploring Isaac Newton's Masterpiece',
2013, Amherst NY: Prometheus Books, PGCp. 123, 125
Calc-17 -
HC - Halley's Comet
-
Green, D. W. E.,
'The Mystery of Comets',
1986, Cambridge UK: Cambridge U. Press, PGCp. 124
-
Grier, D. A.,
'When Computers Were Human',
2005, Princeton NJ: Princeton U. Press, PGCp. 127, 128
-
Ronan, C. A.,
"Edmond Halley"
in 'Dictionary of Scientific Biography',
edited by C. C. Gillespie,
1975, New York: Charles Scribner's Sons, PGCp. 126
-
Ronan, C. A.,
'Edmond Halley: Genius in Eclipse',
1970, London: MacDonald, PGCp. 126
-
Waff, C. B.,
"Predicting the Mid-Eighteenth-Century Return of Halley's Comet",
in 'The General History of Astronomy, Vol. 2,
Planetary Astronomy from the Renaissance to the Rise of
Astrophysics, Part B: The Eighteenth and Nineteenth Centuries',
edited by R. Taton and C. Wilson,
1989, Cambridge UK: Cambridge U. Press, PGCp. 127
Calc-18 -
PN - Planet Neptune (Leverrier)
-
Grosser, M.,
'The Discovery of Neptune',
1979, New York: Dover, PGCp. 130, 133(2), 136
-
Hanson, N. R.,
"Leverrier: The Zenith and Nadir of Newtonian Mechanics",
1962, Isis 53, 359-78, PGCp. 130
-
Kent, D.,
"The Curious Aftermath of Neptune's Discovery",
2011 December, Physics Today 64, 46-51, PGCp. 136
-
Linton, C. M.,
'From Eudoxus to Einstein: A History of Mathematical Astronomy',
2004, Cambridge UK: Cambridge U. Press, PGCp. 130(2), 137
-
Morando, B.,
"The Golden Age of Celestial Mechanics",
in 'The General History of Astronomy, Vol. 2,
Planetary Astronomy from the Renaissance to the Rise of
Astrophysics, Part B: The Eighteenth and Nineteenth Centuries',
edited by R. Taton and C. Wilson,
1989, Cambridge UK: Cambridge U. Press, PGCp. 130
-
Smith, R. W.,
"The Cambridge Network in Action: The Discovery of Neptune",
1989, Isis 80, 395-422, PGCp. 130, 133
-
Sandage, T.,
'The Neptune File',
2000, London: Allen Lane Penguin, PGCp. ?
Calc-19 -
AU - Astronomical Unit (Halley, Venus transit)
-
Halley, E.,
"A New Method of Determining the Parallax of the Sun",
1716, Philosophical Transactions 29, 454-56, PGCp. 138, 140
(Translation from the Latin is available at
eclipse.gsfc.nasa.gov backed up at web.archive.org,
accessed 2017 Mar 27.)
-
Lomb, N.,
'Transit of Venus 1631 to the Present',
2011, Sydney: NewSouth, PGCp. 141
-
Pask,C.,
'Magnificent Principia: Exploring Isaac Newton's Masterpiece',
2013, Amherst NY: Prometheus Books, PGCp. 146
-
Phillips, T.,
'The 2012 Transit of Venus',
at
science.nasa.gov/science-news/,
accessed 2017 Mar 27, PGCp. 140(2)
-
Van Helden, A.,
"Measuring Solar Parallax: The Venus Transits of 1761 and 1769 and their
Nineteenth Century Sequels",
in 'The General History of Astronomy, Vol. 2,
Planetary Astronomy from the Renaissance to the Rise of
Astrophysics, Part B: The Eighteenth and Nineteenth Centuries',
edited by R. Taton and C. Wilson,
1989, Cambridge UK: Cambridge U. Press, PGCp. 136
-
Van Helden, A.,
'Measuring the Universe: Cosmic Dimensions from Aristarchus
to Halley',
1985, Chicago: University of Chicago Press, PGCp. 136, 137
-
Woolf, H.,
'The Transits of Venus: A Study of Eighteenth Century Science',
1959, Princeton NJ: Princeton U. Press, PGCp. 143(2)
Calc-20 -
RO - Rotating Orbits (Newton, others)
-
Einstein, A.,
"The Foundations of the General Theory of Relativity",
in 'The Principle of Relativity',
1952, New York: Dover, PGCp. 146
(A translation by W. Perrett and G. B. Jeffery of
Einstein's original
"Die Grundlage der allgemainen Relativitatstheorie",
1916, Annalen der Physik 49, 769.)
-
Fernie, J. D.,
"In Pursuit of Vulcan",
1994, American Scientist 82, 412-15, PGCp. 145
-
Hanson, N. R.,
"Leverrier: The Zenith and Nadir of Newtonian Mechanics",
1962, Isis 53, 359-78, PGCp. 145
-
Morando, B.,
"The Golden Age of Celestial Mechanics",
in 'The General History of Astronomy, Vol. 2,
Planetary Astronomy from the Renaissance to the Rise of
Astrophysics, Part B: The Eighteenth and Nineteenth Centuries',
edited by R. Taton and C. Wilson,
1989, Cambridge UK: Cambridge U. Press, PGCp. 145
-
Newton, I.,
Principia,
PGCp. 143
-
Pais, A.,
'Subtle is the Lord: The Science and Life of Albert Einstein',
1982, Oxford UK: Oxford U. Press, PGCp. 147
-
Park, D.,
'Classical Dynamics and Its Quantum Analogues',
1979, Berlin: Springer-Verlag, PGCp.145
-
Pask,C.,
'Magnificent Principia: Exploring Isaac Newton's Masterpiece',
2013, Amherst NY: Prometheus Books, PGCp. 142, 143
Chapter 6 ('The Solar System: Into the Modern Era') -
Additional Bibliography
-
Moon Orbit (MO) :
-
Morando, B.,
"The Golden Age of Celestial Mechanics",
in 'The General History of Astronomy, Vol. 2,
Planetary Astronomy from the Renaissance to the Rise of
Astrophysics, Part B: The Eighteenth and Nineteenth Centuries',
edited by R. Taton and C. Wilson,
1989, Cambridge UK: Cambridge U. Press, PGCp. 147
(American astronomer George W. Hill, 1838-1913,
made advances in predicting the moon's orbit.)
-
Ceres Orbit (CO) :
-
Marsden, B. G.,
"Eighteenth and Nineteenth Century Developments in the Theory and
Practice of Orbit Determination",
in 'The General History of Astronomy, Vol. 2,
Planetary Astronomy from the Renaissance to the Rise of
Astrophysics, Part B, The Eighteenth and Nineteenth Centuries',
edited by R. Taton and C. Wilson,
1989, Cambridge UK: Cambridge U. Press, PGCp. 147
(Gauss used limited data to find the orbit of the asteroid Ceres.)
Calc-21 -
DS - Dark Sky
-
Harrison, E. R.,
'Cosmology: The Science of the Universe', 2nd edition,
2000, Cambridge UK: Cambridge U. Press, PGCp. 150
-
Harrison, E. R.,
'Darkness at Night: A Riddle of the Universe',
1987, Cambridge MA: Harvard U. Press, PGCp. 150
-
Harrison, E. R.,
"The Dark Night-Sky Riddle: A Paradox that Resisted Solution",
1984, Science 226, 941-45, PGCp. 150
-
Harrison, E. R.,
"The Dark Sky Paradox",
1977, American Journal of Physics 45, 119-24, PGCp. 150
-
Harrison, E. R.,
"Kelvin on an Old Celebrated Hypothesis",
1986, Nature 322, 417-18, PGCp. 150
Calc-22 -
EU - Expanding Universe (Hubble)
-
Coles, P.,
'Cosmology: A Very Short Introduction',
2001, Oxford: Oxford U. Press, PGCp. 155, 179
-
Earman, J.,
"Lambda: The Constant that Refuses to Die",
2001, Archive for History of the Exact Sciences 55,
189-220, PGCp. 160
-
Freedman, W. L., and B. F. Madore,
"The Hubble Constant",
2010, Annual Review of Astronomy and Astrophysics 48,
673-710, PGCp. 157
-
Harrison, E. R.,
'Cosmology: The Science of the Universe', 2nd edition,
2000, Cambridge UK: Cambridge U. Press, PGCp. 157
-
Hubble, E.,
"A Relation between the Distance and Radial Velocity among Extra-
Galactic Nebulae"
1929, Proceedings of the National Academy of Sciences 15,
168-73, PGCp. 155
-
Lambourne, R. J. A.,
'Relativity, Gravitation, and Cosmology',
2010, Cambridge UK: Cambridge U. Press, PGCp. 158
-
Livio, M.,
"Mystery of the Missing Text Solved",
2011, Nature 479, 171-73, PGCp. 156
-
Roos, M.,
'Introduction to Cosmology', 3rd edition,
2003, Chichester UK: Wiley, PGCp. 158, 171
-
Way, M. and H. Nussbaumer,
"Lematire's Hubble Relationship",
2011 August, Physics Today, Letters, 8, PGCp. 156
-
Weinberg, S.,
'The First Three Minutes', 2nd edition,
1988, New York: Basic Books, PGCp. 155
Calc-23 -
HC - Hoyle Carbon
-
Burbidge, E. M., G. R. Burbidge, W. A. Fowler, and F. Hoyle,
"Synthesis of the Elements in Stars",
1957, Reviews of Modern Physics 29, 547-650, PGCp. 163
-
Davies, Paul,
'The Goldilocks Enigma: Why is the Universe Just Right for Life?',
2008, Boston: Houghton-Mifflin, PGCp. 166
-
Gardner, Martin,
"WAP, SAP, PAP, and FAP",
in 'The Night is Large: Collected Essays 1938-1995',
1996, New York: St. Martin's, PGCp. 166
-
Harrison, E. R.,
'Cosmology: The Science of the Universe', 2nd edition,
2000, Cambridge UK: Cambridge U. Press, PGCp. 166
-
Hoyle, Fred,
'Astronomy and Cosmology: A Modern Course',
1975, San Francisco: W. H. Freeman, PGCp. 164
-
Hoyle, Fred,
'Home is Where the Wind Blows: Chapters from a
Cosmologist's Life',
1994, Mill Valley CA: University Science Books, PGCp. 165
-
Hoyle, Fred,
"On Nuclear Reactions Occurring in Very Hot Stars. The Synthesis of
Elements from Carbon to Nickel", Supplement 1,
1954, Astrophysics Journal 1, 121-46, PGCp. 163
-
Kragh, H.,
"An Anthropic Myth: Fred Hoyle's Carbon-12 Resonance Level",
2010, Archive for the History of Exact Sciences 64,
721-51, PGCp. 166
Calc-24 -
DM - Dark Matter (Vera Rubin)
-
Burbidge, E. M., and G. R. Burbidge,
"The Masses of Galaxies",
Chapter 3 in 'Galaxies and the Universe',
edited by A. Sandage, M. Sandage, and J. Kristian,
1975, Chicago: University of Chicago Press, p. 171
-
Caldwell, R., and M. Kamionkowski,
"Dark Matter and Dark Energy",
2009, Nature 458, 587-89, PGCp. 171
-
Einasto, J., A. Kaasik,and E. Saar,
"Dynamic Evidence on the Massive Coronas of Galaxies",
1974, Nature 250, 309-10, PGCp. 171
-
Irion, Robert,
"The Bright Face behind the Dark Side of Galaxies",
2002, Science 295, 960-61, PGCp. 167
-
Ostriker, J. P., P. J. E. Peebles, and A. Yahil,
"The Size and Mass of Galaxies, and the Mass of the Universe",
1974, The Astrophysical Journal 193, L1-L4, PGCp. 169
-
Rubin, Vera C., and W. Kent Ford,
"Rotation of the Andromeda Nebula from a Spectroscopic Survey
of Emission Regions",
1970, Astrophysical Journal 159, 379-92, PGCp. 168
-
Rubin, Vera C.,
"Dark Matter in Spiral Galaxies",
1983, Scientific American, 96-108, PGCp. 168
-
Rubin, Vera C.,
"The Rotation of Spiral Galaxies",
1983, Science 220, 1339-44, PGCp. 168
-
Rubin, Vera C.,
"Seeing Dark Matter in the Andromeda Galaxy",
2006 December, Physics Today, 8-9, PGCp. 168, 172
-
Oert, PGCp. 167, 171
-
Zwicky, PGCp. 167(2), 171
Calc-25 -
EG - Escaping Gravity (Newton)
-
Barger, V. D., and M. G. Olsson,
'Classical Mechanics: A Modern Perspective', 2nd edition,
1995, New York: McGraw Hill, PGCp. 175(2)
-
Hansen, J. R.,
'Enchanted Rendezvous: John C. Houbolt and the Genesis
of the Lunary-Orbit Rendezvous Concept',
1995, Washington DC: NASA Monographs in Aerospace History Series 4,
PGCp. 175
-
Konopliv, A. S., et. al.,
"Improved Gravity Field of the Moon from Lunar Prospector",
1998, Science 281, 1476-80, PGCp. 175
-
Lee, T. E.,
'Bizarre Lunar Orbits',
NASA Science, 2006, at
science.nasa.gov/science-news/,
accessed 2017 Mar 27, PGCp. ?
-
Roos, M.,
'Introduction to Cosmology', 3rd edition,
2003, Chichester UK: Wiley, PGCp. 178
-
Roy, A. E., 'Orbital Motion', 4th edition,
2005, Bristol UK: Institue of Physics Publishing, PGCp. 175
-
Van Allen, J. A.,
"Gravitational Assist in Celestial Mechanics -- A Tutorial",
2003, American Journal of Physics 71, 448- 51, PGCp. 175
-
Dyson, PGCp. 178
-
Finkelstein, PGCp. 178
-
Houbolt, PGCp. 174
-
Oppenheimer, PGCp. 178
-
Schwarzchild, PGCp. 178
-
Snyder, PGCp. 178
-
Wheeler, PGCp. 179
Chapter 7 ('The Universe') -
Additional Bibliography
Calc-26 -
BF - Blood Flow (Harvey)
-
Gregory, Andrew,
'Harvey's Heart: The Discovery of Blood Circulation',
2001, Duxford UK: Icon Books, PGCp. 185
-
Harvey, W.,
'An Anatomical Disquisition on the Motion of the Heart and
Blood in Animals, A Translation of the 1628 Original',
1990, Exercitatio Anatomica de Motu Cordis et Sanguinis
in Animalibus,
Chicago, Great Books of the Western World,
Encyclopedia Britannica, PGCp. 183
Calc-27 -
HA - Halley Annuities
-
Ciecka, J. E.,
"Edmond Halley's Life Table and Its Uses",
2008, Journal of Legal Economics 15, 65-74, PGCp. 189, 190
-
Cohen, I. Bernard,
'The Triumph of Numbers',
2005, New York: W. W. Norton, PGCp. 191
-
Hald, A.,
"The Early History of Life Insurance Mathematics",
Chapter 9 in
'A History of Probability and Statistics and Their
Application before 1750',
1990, New York: John Wiley, PGCp. 189, 190, 191
-
Halley, E.,
"An Estimate of the Degrees of the Mortality of Mankind, Drawn
from Curious Tables of the Births and Funerals at the
City of Breslaw; with an Attempt to Ascertain the Price
of Annuities upon Lives",
1693, Philosophical Transactions 17, 596-610, PGCp. 187
-
Kopf, E. W.,
"The Early History of the Annuity",
a 42-page PDF file at
casact.org,
accessed 2017 Mar 27, PGCp. 189
-
Lewin, C., and M. De Valois,
"History of Actuarial Tables",
in 'The History of Mathematical Tables',
edited by M. Campbell-Kelly, M. Croaken, R. Flood, and E. Robson,
2003, Oxford UK: Oxford U. Press, PGCp. 186, 189, 191
-
Newman, J. R.,
'The World of Mathematics',
1961, London: George Allen and Unwin, PGCp. 187
(Vol. 3 contains excerpts from the work of
Graunt and Halley on annuities.)
Calc-28 -
GV - Genetic Variability (Hardy-Weinberg)
-
Hardy, G. H.,
"A Mathematician's Apology',
1992 (a reprint?), Cambridge UK: Cambridge Canto Edition, PGCp. 196
-
Hardy, G. H.,
"Mendelian Proportions in a Mixed Population",
1908, Science 28, 49-50, PGCp. 195
-
Okasha, S.,
"Population Genetics",
Stanford Encyclopedia of Philosophy, at
plato.stanford.edu,
accessed 2017 Mar 27, PGCp. 191
Calc-29 -
CT - Computerized Tomography
-
Cormack, A. M.,
"Early Two-Dimensional Reconstruction and Recent Topics
Stemming From It",
1980, Science 209, 1482-86, PGCp. 201
-
Cormack, A. M.,
"Representation of a Function by Its Line Integrals, with
Some Radiological Applications",
1963, Journal of Applied Physics 34, 2722-27, PGCp. 201
-
Cormack, A. M.,
"Representation of a Function by Its Line Integrals, with
Some Radiological Applications II",
1964, Journal of Applied Physics 35, 2908-13, PGCp. 201
-
Epstein, C. L.,
'Introduction to the Mathematics of Medical Imaging',
2003, Upper Saddle river NJ: Pearson Education, PGCp. 200
-
Gordon, R., G. T. Herman, and S. A. Johnson,
"Image Reconstruction from Projections",
1975 October, Scientific American 233, 56-68, PGCp. 197, 199
-
Kac, A. C.,
'Principles of Computerized Tomographic Imaging',
1988, New York: IEEE, PGCp. 199, 200
-
Shepp, L. A., and J. B. Kruskal,
"Computerized Tomography: The New Medical X-ray Technology",
1978, American Mathematical Monthly 85, 420-39, PGCp. 200
-
Webb, S.,
'From the Watching of Shadows: The Origins of Radiological
Tomography',
1990, Bristol UK: Adam Hilger, PGCp. 197, 202
Calc-30 -
SA - Scaling Animals
-
Banavar, J. R., et al.,
"A General Basis for Quarter-Power Scaling in Animals",
2010, Proceedings of the National Academy of Sciences 107,
15816-20- PGCp. 212
-
Brown, G. H., and G. B. West, editors,
'Scaling in Biology',
2000, Oxford: Oxford U. Press, PGCp. 209, 212
(This book contains many papers given at a symposium on scaling.)
-
Burton, R. F.,
'Biology by Numbers: An Encouragement to Quantitative Thinking',
1998, Cambridge UK: Cambridge U. Press, PGCp. 205
-
Glazier, D. S.,
"The 3/4-Power Law is Not Universal: Evolution of Isometric,
Ontogenetic Metabolic Scaling in Pelagic Animals",
2006, Bioscience 56, 325-32, PGCp. 212
-
Glazier, D. S.,
"A Unifying Explanation for Diverse Metabolic Scaling in
Animals and Plants",
2010, Biological Reviews 85, 111-38, PGCp. 212
-
Kleiber, Max,
'The Fire of Life',
1961, PGCp. 209, 210
-
Kleiber, Max,
"Body Size and Metabolism",
1932, PGCp. 208
-
Prange, H. D., J. F. Anderson, and H. Rahn,
"Scaling of Skeletal Mass to Body Mass in Birds and Mammals",
1979, American Naturalist 113, 103-22, PGCp. 206
-
Rubner, Max,
papers up to 1924, PGCp. 209
-
Savage, V. M., et al.,
"The Predominance of Quarter-Power Scaling in Biology",
2004, Functional Ecology 18, 257-82, PGCp. 212
-
Schmidt-Nielsen K.,
'How Animals Work',
1972, Cambridge UK: Cambridge U. Press, PGCp. 205
-
Schmidt-Nielsen K.,
'Scaling: Why is Animal Size So Important?',
1984, Cambridge UK: Cambridge U. Press, PGCp. 205, 206
-
Spence, A. J.,
"Scaling in Biology",
2009 Jan 27, Current Biology 19, R57-R61, PGCp. 212
-
Vogel, S.,
'Life's Devices',
1988, Princeton NJ: Princeton U. Press, PGCp. 205
-
West, J. B., and J. H. Brown,
"Life's Universal Scaling Laws",
2004 September, Physics Today, 36-42, PGCp. 211
-
Whitfield, J.,
'In the Beat of a Heart: Life, Energy, and the Unity of Nature',
2006, Washington DC: Joseph Henry, PGCp. 208, 209
Chapter 8 ('About Us'- animals) -
Additional Bibliography
-
Nervous System (NS) - signal transmission:
-
Hodgkins, Huxley, PGCp. 212
-
Pattern Formation (PF) :
-
Turing, PGCp. 212
-
DNA calculations:
-
No references cited by Pask.
Calc-31 -
LS - Light Speed (Roemer)
-
Boyer, C. B.,
'The Rainbow: From Myth to Mathematics',
1989, Princeton NJ: Princeton U. Press, PGCp. 217
-
Brush, S. G.,
"Early Estimates of the Velocity of Light",
1941 March, Isis 33, 24-40, PGCp. ?
-
Cohen, I. B.,
"Roemer and the First Determination of the Velocity
of Light (1676)",
1940 April, Isis 31, 327-79, PGCp. 215
(This paper contains a facsimile of Roemer's original 1676 paper.)
-
Daukantas, P.,
"Ole Roemer and the Speed of Light",
2009 July, Optics and Photonic News, 43-47, PGCp. 215
-
Roemer, O.,
"A Demonstration Showing the Motion of Light",
in 'Physical Thought from the Presocratics to the
Quantum Physicists: An Anthology',
edited by S. Sambursky,
1975, New York: Pica, PGCp. 215
Calc-32 -
RE - Rainbow Explanation (Descartes, Newton)
-
Boyer, C. B.,
'The Rainbow: From Myth to Mathematics',
1989, Princeton NJ: Princeton U. Press, PGCp. 217
-
Casselman, B.,
'The Mathematics of Rainbows',
American Mathematical Society Monthly Essays, at
www.ams.org/samplings/feature-colum/fcarc-rainbows,
accessed 2017 Mar 27, PGCp. 220
-
Heath-Stubbs, J., and P. Salman, editors,
'Poems of Science',
1984, Hammondsworth UK: Penguin, PGCp. 223
-
Newton, Isaac,
'Opticks',
1952, New York: Dover, PGCp. 218, 219, 221
(A reprint of the original 4th edition published in London in 1730.)
-
Nicholson, Marjorie Hope,
'Newton Demands the Muse',
1966, Princeton NJ: Princeton U. Press, PGCp. 223
-
Nussenzveig, H. M.,
"The Theory of the Rainbow",
in 'Atmospheric Phenonmena: Readings from Scientific American',
1980, SanFrancisco: W. H. Freeman, PGCp. 220, 222
-
Williamson, S. J., and H. Z. Cummins,
'Light and Color in Nature and Art',
1983, New York: John Wiley, PGCp. 223?
Calc-33 -
DV - Diffraction and Vision (acuity)
-
Airy, G. B.,
"On the Diffraction of an Object-Glass with Circular Aperture",
1835, Transactions of the Cambridge Philosophical Society 5,
283-91, PGCp. 229
-
Cantor, G. N.,
'Optics After Newton',
1983, Manchester UK: Manchester U. Press, PGCp. 226
-
Denny, M., and A. McFadzean,
'Engineering Animals: How Life Works',
2011, Cambridge MA: Belknap, PGCp. 232
(See chapter 10 for photoreceptors and image sampling.)
-
Heavens, O. S., and R. W. Ditchburn,
'Insight into Optics',
1991, Chichester UK: John Wiley, PGCp. 226, 227, 230, 234
-
Huygens, C.,
'Treatise on Light',
1690, PGCp. 224, 225
(Available in many sources such as vol. 34 of
'Great Books of the Western World', Chapter 1,
1952, Chicago: Encyclopedia Britannica.)
-
Lipson, S. G., and H. Lipson,
'Optical Physics',
1969, Cambridge UK: Cambridge U. Press, PGCp. 227, 234, 235
-
Newton, Isaac,
'Opticks',
1952, New York: Dover, PGCp. 224
(A reprint of the original 4th edition published in London in 1730.)
-
Robinson, A.,
'The Last Man Who Knew Everything',
2006, New York: Pi Press, PGCp. 226, 227
(This refers to Thomas Young, 1773-1829, who performed
a double-slit optical interference experiment.)
-
Wandell, B. A.,
'Foundations of Vision',
1995, Sunderland MA: Sinauer, PGCp. 231
Calc-34 -
EM - ElectroMagnetism ... and light (Maxwell)
-
Feynman, R. P.,
'The Feynman Lectures on Physics, Vol. 2, Mainly Electromagnetism
and Matter',
1971, Reading MA: Addison-Wesley, PGCp. 236
-
Harman, P. M.,
'The Natural Philosophy of James Clerk Maxwell',
1998, Cambridge UK: Cambridge U. Press, PGCp. 232
-
Mahon, B.,
'The Man Who Changed Everything: The Life of James Clerk Maxwell',
2004, Chichester UK: Wiley, PGCp. 232
-
Maxwell, J.C.,
'A Treatise on Electricity and Magnetism', 3rd edition,
1904, Oxford UK: Clarendon, PGCp. 232, 236
-
Segre, E.,
'From Falling Bodies to Radio Waves',
1984, New York: W. H. Freeman, PGCp. 232, 234, 235
(See chapter 4, "Electricity: From Thunder to Motors and Waves".)
Calc-35 -
PE - Photons Exist (Einstein)
-
Compton, A. H.,
Physical Review paper,
1923, PGCp. 243
-
Einstein, A.,
"On a Heuristic Point of View about the Creation and Conversion
of Light",
1905, Annalen der Physik 17, 132-48, PGCp. 238
(This paper is reprinted in various books and in
Einstein's collected papers.)
-
Feynman, R. P.,
'QED: The Strange Theory of Light and Matter',
1985, Princeton NJ: Princeton U. Press, PGCp. 249
-
Gamow, G.,
'Thirty Years That Shook Physics',
1966, New York: Dover, PGCp. 238, 241
-
Newton, Isaac,
'Opticks',
1952, New York: Dover, PGCp. 243
(A reprint of the original 4th edition published in London in 1730.)
-
Pais, A.,
'Subtle is the Lord: The Science and Life of Albert Einstein',
1982, Oxford UK: Oxford U. Press, PGCp. 238, 241, 246
-
Rigden, J. S.,
'Einstein 1905: The Standard of Greatness',
2005, Cambridge MA: Harvard U. Press, PGCp. 238, 241
-
Roychaudhuri, C., and R. Roy, editors,
"The Nature of Light. What is a Photon?",
2003 October, 'Trends' supplement of 'Optics and Photonics News',
S1-S35, PGCp. 249
-
Williams, B., editor,
'Compton Scattering',
1977, London: McGraw-Hill, PGCp. 241
(The paper "History" by R. H. Stuewer and M. J. Cooper,
gives a good introduction to Compton scattering.)
Calc-36 -
LB - Light Bends (Soldner, Einstein)
-
Brush, S. G.,
"Prediction and Theory Evaluation: The Case of Light Bending",
1989 December 01, Science 246, 1124-29, PGCp. 247
-
Eddington, A.,
'Space, Time and Gravitation: An Outline of the General Theory
of Relativity',
1959, New York: Harper, PGCp. 246
(A reprint of the original 1920 edition.)
-
Feynman, R. P.,
'QED: The Strange Theory of Light and Matter',
1985, Princeton NJ: Princeton U. Press, PGCp. 249
-
Kennefick, D.,
"Testing Relativity from the 1919 Eclipse --- A Question of Bias",
2009 March, Physics Today, 37-42, PGCp. 246
-
Lambourne, R. J. A.,
'Relativity, Gravitation, and Cosmology',
2010, Cambridge UK: Cambridge U. Press, PGCp. 245(2), 247
-
Pais, A.,
'Subtle is the Lord: The Science and Life of Albert Einstein',
1982, Oxford UK: Oxford U. Press, PGCp. 247
-
Roychaudhuri, C., and R. Roy, editors,
"The Nature of Light. What is a Photon?",
2003 October, 'Trends' supplement of 'Optics and Photonics News',
S1-S35, PGCp. 249
-
Soldner, Johann Georg van,
"On the Deflection of a Light Ray from Its Rectilinear Motion,
by the Attraction of a Celestial Body at Which It
Nearly Passes By",
1804, Berliner Astronomisches Jahrbuch, 161-72, PGCp. 245
(Translations are readily available. For example, see S. L. Jaki in
Foundations of Physics 8, 1978, 927-50.)
-
Weinberg, S.,
'Gravitation and Cosmology: Principles and Applications of the
Theory of Relativity',
1972, New York: John Wiley, PGCp. 245(2), 247
-
Will, C. M.,
'Was Einstein Right? Putting General Relativity to the Test',
1993, New York: Basic Books, PGCp. 244, 246
-
Will, C. M.,
"Henry Cavendish, Johann von Soldner, and the Deflection of Light",
1988 May, American Journal of Physics 56, 413-15, PGCp. 244, 245
Calc-37 -
AE - Atoms Exist (Einstein - Brownian Motion)
-
Bernstein, J.,
"Einstein and the Existence of Atoms",
2006 October, American Journal of Physics 74, 863-72, PGCp. 254
-
Brush, S. G.,
'Kinetic Theory, Vol 1, The Nature of Gases and of Heat',
1965, Oxford UK: Pergamon Press, PGCp. 253
-
Einstein, A.,
'The Collected Papers of Albert Einstein',
translated by Anna Beck,
1989, Princeton NJ: Princeton U. Press, PGCp. 253
(Vol. 2 contains the relevant Brownian motion papers.)
-
Einstein, A.,
thesis, 1905 paper, 1906 paper, PGCp. 254
(Summarized in Pais?)
-
Feynman, R. P.,
'The Feynman Lectures on Physics',
1971, Reading MA: Addison-Wesley, PGCp. 251, 254
-
Gamow, George,
'Thirty Years That Shook Physics',
1966, New York: Dover, PGCp. 253
-
Holton, G., and S. G. Brush,
'Introduction to Concepts and Theories in Physical Science',
2nd edition,
1973, Reading MA: Addison-Wesley, PGCp. 253
-
Lucretius,
'De Rerum Natura',
written around 50 BCE,
translated as 'The Poem on Nature', by C. H. Sisson,
1975, Manchester UK: Carcanet, PGCp. 251
-
Newburgh, R., J. Peidle, and W. Ruekner,
"Einstein, Perrin,, and the Reality of Atoms: 1905 Revisited",
2006 June, American Journal of Physics 74, 478-81, PGCp. 254, 257
-
Pais, A.,
"Introducing Atoms and Their Nuclei",
in 'Twentieth Century Physics', Vol. 1,
edited by L. M. Brown, A. Pais, and Sir Brian Pippard,
1995, Bristol UK: Institute of Physics Publishing, PGCp. 253, 254
-
Perrin, M. Jean,
'Brownian Movement and Molecular Reality',
1910, London: Taylor and Francis, PGCp. 257
(This is a translation by F. Soddy of Perrin's article in
'Annales de Chimie et de Physique', 8th series, 1909 September.)
-
Rechenberg, H.,
"Quanta and Quantum Mechanics",
in 'Twentieth Century Physics', Vol. 1,
edited by L. M. Brown, A. Pais, and Sir Brian Pippard,
1995, Bristol UK: Institute of Physics Publishing, PGCp. 253
-
Rigden, J. S.,
'Einstein 1905: The Standard of Greatness',
2005, Cambridge MA: Harvard U. Press, PGCp. 254
(See the 'Seeing Atoms' chapter.)
Calc-38 -
SL - Spectral Lines (Balmer)
-
Balmer, J. J.,
"Notiz uber die Spectrallinien des Wasserstoffs",
1885, Annalen der Physik und Chemie 25, 80
translated as "The Hydrogen Spectral Series",
in 'A Source Book in Physics', edited by W. F. Magie,
1963, Cambridge MA: Harvard U. Press, PGCp. 260
-
Kirchoff, G., and R. Bunsen,
"Chemische Analyse durch Spektralbeobachtungen",
'Ostwalds Klassiker der exacten Wissenschaften', no. 72, 1860
translated as "Chemical Analysis by Observation of the Spectrum"
in 'Physical Thought from the Presocratics to the
Quantum Physicists: An Anthology", edited by S. Sambursky,
1975, New York: Pica, PGCp. 258
Calc-39 -
AM - Atom Mechanics (Bohr, et al)
-
De Broglie, Louis,
"The Wave Nature of the Electron",
1929 Nobel Prize acceptance speech,
reprinted in 'Physical Thought from the Presocratics to
the Quantum Physicists: An Anthology", edited by S. Sambursky,
1975, New York: Pica, PGCp. 265
-
Clark, C. W., and J. Reader,
"The Optical Discovery of Deuterium",
2012 May, 'Optics and Photonics News 23, 36-41, PGCp. 268
-
Bohr, 1913 paper, PGCp. 263
("easy to follow"; reproduced in Ter Haar's book, below.)
-
Fayer, M. D.,
'Absolutely Small: How Quantum Theory Explains Our Everyday World',
2010, New York: AMACOM, PGCp. 267
-
Ter Haar, D.,
'The Old Quantum Theory',
1967, Oxford UK: Pergamon, PGCp. 262, 263
(an excellent introduction to the dawn of quantum mechanics;
includes the seminal original papers by Planck, Einstein,
Rutherford, Bohr, and others)
-
Wallace, P. R.,
'Paradox Lost: Images of the Quantum',
1996, New York: Springer, PGCp. 268
(One of Pask's 'favorite' books on quantum physics
and the wave function.)
Calc-40 -
NM - Neutron Mass (Chadwick)
-
Chadwick, J.,
1935 Nobel Prize in Physics Award Address,
reprinted in 'The World of Physics, Vol. 2',
edited by F. H. Weaver,
1987, New York: Simon and Schuster, PGCp. 269
-
Chadwick, J.,
"Possible Existence of a Neutron",
1932, Letter to the Editor in 'Nature' 129, 312, PGCp. 269, 271
-
Pask, C.,
'Math for the Frightened',
2011, Amherst NY: Prometheus Books, PGCp. 270
(See chapter 13.)
Calc-41 -
EMM - Electron Magnetic Moment
-
Dirac, P. A. M.,
1933 Nobel Prize in Physics Award Address,
in 'The World of Physics, Vol. 2', edited by J. H. Weaver,
1987, New York: Simon and Schuster, PGCp. 275
-
Dirac, P. A. M.,
'The Principles of Quantum Mechanics', 4th edition,
1958, Oxford UK: Clarendon, PGCp. 275
-
Farmelo, G.,
'The Strangest Man: The Hidden Life of Paul Dirac,
Mystic of the Atom',
2009, New York: Basic Books, PGCp. 274
-
Feynman, R. P.,
'QED: The Strange Theory of Light and Matter',
1985, Princeton NJ: Princeton U. Press, PGCp. 276, 278
-
Feynman, R. P.,
"Space-Time Approach to Quantum Electrodynamics",
1949, Physical Review 76, 769-89, PGCp. 277
-
Gabrielse, G.,
"The Standard Model's Greatest Triumph",
2013 Dec, Physics Today, 64-65, PGCp. 279
-
Weisskoph, V. F.,
"Growing Up with Field Theory: The Development of Quantum
Electrodynamics",
in 'The Birth of Particle Physics',
edited by L. M. Brown and L. Hoddleson,
2010, Cambridge UK: Cambridge U. Press, PGCp. 276
Calc-42 -
NE - Neutrino Exists
-
Brown, L.,
"The Idea of the Neutrino",
1978 September, Physics Today, 23-28, PGCp. 281, 282
-
Dunlap, R. A.,
'The Physics of Nuclei and Particles',
2004, Toronto: Thomson Brooks/Cole, PGCp. 281(2)
-
Lee and Wang, PGCp. 287
-
McManus, PGCp. 287 ("entertaining")
-
Pais, A.,
"Introducing Atoms and Their Nuclei",
in 'Twentieth Century Physics', Vol. 1,
edited by L. M. Brown, A. Pais, and Sir Brian Pippard,
1995, Bristol UK: Institute of Physics Publishing, PGCp. 281, 282, 285
-
Sutton, C.,
'Spaceship Neutrino',
1992, Cambridge UK: Cambridge U. Press, PGCp. 281
-
Wu, PGCp. 287
Calc-43 -
TD - Time Dilation (Einstein)
-
Ashby, N.,
"Relativity and the Global Positioning System",
2002 May, Physics Today, 41-47, PGCp. 291
-
Greenberg, A. J., et al.,
"Charged-Pion Lifetime and a Limit on a Fundamental Length",
1969, Physical Review Letters 23, 1267-70, PGCp. 290
-
Lambourne, R. J. A.,
'Relativity, Gravitation and Cosmology',
2010, Cambridge UK: Cambridge U. Press, PGCp. 288(2)
-
Mermin, D.,
'It's About Time: Understanding Einstein's Relativity',
2005, Princeton NJ: Princeton U. Press, PGCp. 290
-
Reinhardt, S., et al.,
"Test of Relativistic Time Dilation with Fast Optical
Atomic Clocks at Different Velocities",
2007, Nature Physics 3, 861-64, PGCp. 290
-
Rossi, B.,
"The Decay of Mesotrons, 1939-1943: Experimental
Particle Physics in the Age of Innocence",
in 'The Birth of Particle Physics',
edited by L. M. Brown and L. Hoddleson,
2010, Cambridge UK: Cambridge U. Press, PGCp. 290
-
Rossi, B., N. Hilberry, and J. Barton Hoag,
"The Variation of the Hard Component of Cosmic Rays
with Height and the Disintegration of Mesotrons",
1940, Physical Review 57, 461-68, PGCp. 290
-
Sartoff, G., et al.,
"Improved Test of Time Dilation in Special Relativity",
2003, Physical Review Letters 91, 190403-1 to 190403-4, PGCp. 290
-
Wikipedia article
Time Dilation,
accessed 2017 Mar 27, PGCp. 290
Calc-44 -
QM - Quarks and Masses (Gell-Mann et al)
-
Dunlap, R. A.,
'The Physics of Nuclei and Particles',
2004, Toronto: Thomson Brooks/Cole, PGCp. 292
-
Durr, S., et al.,
"Ab-Initio Determination of Light Hadron Masses",
2008 Nov 21, Science 322, no. 5905, 1224-27, PGCp. 294
-
Fayer, M. D.,
'Absolutely Small: How Quantum Theory Explains Our Everyday World',
2010, New York: AMACOM, PGCp. 291
-
Olsen, S. L.,
"Exotic Particles with Four or More Quarks",
2014 September, Physics Today, 56-57, PGCp. 294
-
Wilczek, F.,
'The Lightness of Being: Mass, Ether, and the
Unification of Forces',
2008, New York: Basic Books, PGCp. 294
Calc-45 -
SF - Sun Fusion
-
Atkinson, R., and F. Houtermans,
"Aufbaumoelichkeit in Sternen",
1929, Zeitschrift fur Physik 54, 656-65, PGCp. 300
-
Bahcall, J. N.,
"Solving the Mystery of the Missing Neutrinos",
at
nobelprize.org/ nobel_prizes/ themes/ physics/ bahcall/,
accessed 2017 Mar 27, PGCp. 304
-
Bethe, H. A.,
"Energy Production in Stars",
1939, Physical Review 55, 434-56, PGCp. 301
-
Cockcroft, J., and E. Walton,
"Disintegration of Lithium by Swift Protons",
1932, Nature 129, PGCp. 297
-
Cockcroft, J., and E. Walton,
"Experiments with High Velocity Positive Ions II - The
Disintegration of Elements by High Velocity Protons",
1932, Proceedings of the Royal Society A 227, 229-36, PGCp. 297
-
Dunlap, R. A.,
'The Physics of Nuclei and Particles',
2004, Toronto: Thomson Brooks/Cole, PGCp. 295, 303(2)
-
Eddington, A. S.,
'The Internal Constitution of Stars',
1959, New York: Dover, PGCp. 299
(A reprint of the 1926 original. The relevant part is
also reprinted in the book by Kilmister, noted below.)
-
Halzen, F., and S. R. Klein,
"Astronomy and Astrophysics with Neutrinos",
2008 May, Physics Today, 29-35, PGCp. 304
-
Kelvin, Lord,
"On the Age of the Sun's Heat",
1862, Macmillan's Magazine 5, 388-93, PGCp. 299
-
Kilmister, C. W.,
'Men of Physics: Sir Arthur Eddington',
1966, Oxford UK: Pergamon Press, PGCp. 299
-
King, A.,
'Stars: A Very Short Introduction',
2012, Oxford UK: Oxford U. Press, PGCp. 298, 302
-
Lang, K. R., and O. Gingerich, editors,
'A Sourcebook in Astronomy and Astrophysics, 1900-1975',
1975, Cambridge MA: Harvard U. Press, PGCp. 303
-
McCracken, G., and P. Stott,
"Fusion: The Energy of the Universe",
2005, Amsterdam: Elsevier, PGCp. 303(2)
-
National Research Council, Committee on Nuclear Physics,
'Nuclear Physics: The Core of Matter, the Fuel of Stars',
1999, Washington DC: National Academy Press, PGCp. 295
Calc-46 -
AB - Atomic Bomb
-
Cockcroft, J., and E. Walton,
"Disintegration of Lithium by Swift Protons",
1932, Nature 129, PGCp. 297
-
Cockcroft, J., and E. Walton,
"Experiments with High Velocity Positive Ions II - The
Disintegration of Elements by High Velocity Protons",
1932, Proceedings of the Royal Society A 227, 229-36, PGCp. 297
-
Dunlap, R. A.,
'The Physics of Nuclei and Particles',
2004, Toronto: Thomson Brooks/Cole, PGCp. 295, 306
-
Frank, Sir Charles,
'Operation Epsilon: The Farm Hall Transcripts',
1993, Berkley CA: U. of California Press, PGCp. 313
-
Graetzer, H. G., and D. L. Anderson,
'The Discovery of Nuclear Fission: A Documentary History',
1971, New York: Van Nostrand, PGCp. 304, 306
("A wonderful collection of original papers and
commentary on them." - Pask)
-
Logan, J.,
"The Critical Mass",
1996 May-June, American Scientist 84, 263-77, PGCp. 312, 313
-
Meitner and Frisch, PGCp. 304
-
National Research Council, Committee on Nuclear Physics,
'Nuclear Physics: The Core of Matter, the Fuel of Stars',
1999, Washington DC: National Academy Press, PGCp. 295
-
Rhodes, R.,
'The Making of the Atomic Bomb',
1986, New York: Simon and Schuster, PGCp. 306
-
Rose, P. L.,
'Heisenberg and the Nazi Atomic Bomb Project:
A Study in German Culture',
1998, Berkeley CA: U. of California Press, PGCp. 312, 313
-
Serber, Robert,
'The Los Alamos Primer',
1992, Berkeley CA: U. of California Press, PGCp. 307
Calc-47 -
VS - Vibrating Strings
(D. Bernoulli, Fourier, et al)
-
D. Bernoulli, d'Alembert, Euler, PGCp. 317
-
D. Bernoulli, LaGrange, Euler, PGCp. 318
-
Cannon, J. T., and S. Dostrovsky,
'The Evolution of Dynamics: Vibration Theory from 1687 to 1742',
1981, New York: Springer-Verlag, PGCp. 316
-
Coulson, C. A., and A. Jeffrey,
'Waves', 2nd edition,
1977, London: Longman, PGCp. 316, 318
-
Dirac, PGCp. 323
-
Feynman, R. P.,
'The Feynman Lectures on Physics',
1971, Reading MA: Addison-Wesley, PGCp. 322
(See chapters 25, 49, and 50 in volume 1.)
-
Fourier,
'Analytical Theory of Heat',
PGCp. 321
-
Kline, M.,
'Mathematical Thought from Ancient to Modern Times',
1972, New York: Oxford U. Press, PGCp. 316, 318
-
Magie, W. F., editor,
'A Source Book in Physics',
1963, Cambridge MA: Harvard U. Press, PGCp. 316
-
Mersenne, Taylor, PGCp. 316
-
Prestini, E.,
'The Evolution of Applied Harmonic Analysis',
2004, Boston: Birkhauser, PGCp. 322
-
Struik, D. J., editor,
'A Source Book in Mathematics 1200-1800',
1969, Cambridge MA: Harvard U. Press, PGCp. 316
-
Thomson, Sir William (Lord Kelvin), and P. G. Tait,
'Principles of Mechanics and Dynamics',
(formerly titled 'Treatise on Natural Philosophy'),
1962, New York: Dover, PGCp. 321
(A republication of the last revised editon of 1912.
See section 75 in vol. 1.)
-
Wandell, B. A.,
'Foundations of Vision',
1995, Sunderland MA: Sinauer, PGCp. 322
-
Westheimer, G.,
"The Fourier Theory of Vision",
2001, Perception 30, 531-41, PGCp. 322
Calc-48 -
BF - Bessel Functions
-
Campbell-Kelly, M., M. Croaken, R. Flood, and E. Robson, editors,
'The History of Mathematical Tables',
2003, Oxford UK: Oxford U. Press, PGCp. 329, 330
-
Bernoulli, PGCp. 326
-
Bessel, PGCp. 323, 328
-
Dutka, J.,
"On the Early History of Bessel Functions",
1995, Archive for History of the Exact Sciences 49, 105-34, PGCp. 326
-
Euler, Fourier, Poisson, PGCp. 327
-
Fricke, W.,
"Bessel, Friedrich Wilhelm",
in 'Dictionary of Scientific Biography',
edited by C. C. Gillespie,
1975, New York: Charles Scribner's Sons, PGCp. 323
-
Horsburgh, E. M.,
'Modern Instruments and Methods of Calculation: A Handbook
of the Napier Tercentenary Exhibition',
1915, London: G. Bell and Sons, PGCp. 329
-
LaGrange, PGCp. 328
-
McFarland, D. M.,
"Quarter Squares Revisited",
at
escholarship.org/uc/,
accessed 2017 Mar 27, PGCp. 329
-
McLachlan, N. W.,
'Bessel Functions for Engineers', 1st edition,
1934, Oxford UK: Clarendon Press, PGCp. 328(2)
-
Norberg, A. L.,
"Table Making in Astronomy",
in 'The History of Mathematical Tables',
edited by M. Campbell-Kelly, M. Croaken, R. Flood, and
E. Robson,
2003, Oxford UK: Oxford U. Press, PGCp. 323
-
Pask, C.,
'Magnificent Principia: Exploring Isaac Newton's Masterpiece',
2013, Amherst MA: Prometheus Books, PGCp. 328
(See chapter 12.)
-
Roegel, D.,
"A Reconstruction of Blater's Table of Quarter Squares",
a 212-page PDF file at
locmat.loria.fr/blater1887/,
accessed 2017 Mar 27, PGCp. 329
-
Watson, G. N.,
'A Treatise on the Theory of Bessel Functions', 2nd edition,
1944, Cambridge UK: Cambridge U. Press, PGCp. 325, 326, 328
(800-plus pages)
Calc-49 -
NO - Nonlinear Oscillations
-
Akhmediev, N. N.,
"Deja Vu in Optics",
2001 Sep 20, Nature 413, 267-68, PGCp. 340
-
Berman, G. P.,
"The Fermi-Pasta-Ulam Problem: Fifty Years of Progress",
2005 March, CHAOS 15, 05104-1-18, PGCp. 340
-
Dauxios, T.,
"Fermi, Pasta, Ulam, and a Mysterious Lady",
2008 Jan, Physics Today, 55-57, PGCp. 342, 343
-
Fermi, e., J. Pasta, and S. Ulam,
"Studies of Nonlinear Problems",
1955 May, Los Alamos Document LA-1940, PGCp. 334, 338, 339
-
Gallovatti, G.,
'The Fermi-Pasta-Ulam Problem: A Status Report',
2008, Berlin: Springer, PGCp. 340
-
Kevrekidis, P. G.,
"Non-linear Waves in Lattices: Past, Present, Future",
2011, IMA Journal of Applied Mathematics 76, 389-423, PGCp. 340
-
Kibble, T. W. B.,
'Classical Mechanics',
1966, London: McGraw-Hill, PGCp. 336, 341
(See chapter 12.)
-
Kortweg and DeVries, PGCp. 341
-
Pettini, M., L. Casetti, M. carutti-Sola, R. Franzosi, and
E. D. G. Cohen,
"Weak and Strong Chaos in Fermi-Pasta-Ulam Models and Beyond",
2005 March, CHAOS 15, 05106-1-13, PGCp. 340
-
Porter, M. A., N. J. Zabusky, Bambi Hu, and D. K. Campbell,
"Fermi, Pasta, Ulam and the Birth of Experimental Mathematics",
2009 May-June, American Scientist 97, 214-21, PGCp. 340, 341
-
Segre, E., editor,
'Collected Papers of Enrico Fermi', Vol. 2,
1965, Chicago: U. of Chicago Press, PGCp. 334(?)
-
Zabusky, PGCp. 340
Calc-50 -
LE - Logistic Equation
('chaos' - instability, sensitivity, divergence)
-
Barger, V. D., and M. G. Olsson,
'Classical Mechanics: A Modern Perspective', 2nd edition,
1995, New York: McGraw-Hill, PGCp. 340
(See chapter 11.)
-
Cvitanovic, P.,
'Universality in Chaos', 2nd edition,
1989, Bristol UK: Adam Hilger, PGCp. 349
-
Feigenbaum, PGCp. 349
-
Gleick, J.,
'Chaos: Making a New Science',
1988, London: Heinemann, PGCp. 349
-
Hall, N., editor,
'The New Scientist Guide to Chaos',
1991, London: Penguin, PGCp. 349
(Contains a broad range of introductory articles.)
-
May, R. M.,
"Simple Mathematical Models with Very Complicated Dynamics",
1976 June 10, Nature 261, 459-67, PGCp. 345
-
Moon, F. C.,
'Chaotic Vibrations: An Introduction for Applied
Scientists and Engineers',
2004, Hoboken NJ: John Wiley, PGCp. 349
-
Motter, A. E., and D. K. Campbell,
"Chaos at Fifty",
2013 May, Physics Today, 27-33, PGCp. 349, 350
-
Stewart, I.,
'Does God Play Dice? The New Mathematics of Chaos',
1990, London: Penguin Books, PGCp. 349
Chapter 12 ('Methods and Motion') -
Additional Bibliography
-
Tables and Computing (TC) :
-
Abramowitz, M., and I. A. Stegun,
'Handbook of Mathematical Functions with
Formulas, Graphs, and Mathematical Tables',
1964, Washington DC: National Bureau of Standards, PGCp. 331
-
Airy, PGCp. 330
-
Aldis, PGCp. 330
-
Blater, PGCp. 329
-
Campbell-Kelly, M., M. Croaken, R. Flood, and E. Robson, editors,
'The History of Mathematical Tables',
2003, Oxford UK: Oxford U. Press, PGCp. 329, 330
-
Croaken, M.,
"Table Making by Committee",
in 'The History of Mathematical Tables',
edited by M. Campbell-Kelly, M. Croaken, R. Flood, and
E. Robson,
2003, Oxford UK: Oxford U. Press, PGCp. 331
-
Croaken, M., and M. Campbell-Kelly,
"Beautiful Numbers: The Rise and Decline of the British
Association Mathematical Tables Committee, 1871-1965",
2000 Oct-Dec, IEEE Annals of the History of Computing,
44-61, PGCp. 331
-
Grier, D. A.,
'When Computers Were Human',
2005, Princeton NJ: Princeton U. Press, PGCp. 330
-
McFarland, D. M.,
"Quarter Squares Revisited",
at
escholarship.org/uc/,
accessed 2017 Mar 27, PGCp. 329
-
McLachlan, N. W.,
'Bessel Functions for Engineers', 1st edition,
1934, Oxford UK: Clarendon Press, PGCp. 328(2)
-
Meissel, PGCp. 330
-
Rayleigh, PGCp. 330
-
Roegel, D.,
"A Reconstruction of Blater's Table of Quarter Squares",
a 212-page PDF file at
locomat.loria.fr/blater1887/,
accessed 2017 Mar 27, PGCp. 329
-
Watson, G. N.,
'A Treatise on the Theory of Bessel Functions', 2nd edition,
1944, Cambridge UK: Cambridge U. Press, PGCp. 330
(and 325, 326, 328)
(800-plus pages)
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