References
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G. Arfken and H. Weber,
Mathematical Methods for Physicists, 1st: 1966, 4th ed.: 1995. 4th
Edition, Academic Press. This is the advanced version of Boas's book, with a
lot of the same areas revisited. Boas uses words to assist the association
of articulated meaning in functions, etc, Arfken answers more questions and
gives deeper understanding, sometimes in very dense sections.
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M. Boas,
Mathematical Methods In the Physical Sciences, 2nd ed. 1983, 1st
ed. 1966, John Wiley & Sons.
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W. Dunham,
Euler: The Master of Us All, 1999, The Mathematical Association of
America. Valuable.
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L. Euler, Elements of Algebra, 1765 (German), 1828 translation,
2015 republished, Creatspace of Amazon.
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H. Goldstein,
Classical Mechanics, 2nd ed., Addison Wesley, 1st: 1950, 2nd: 1980.
The third edition had many errors introduced by the new stewards of the
course, as graciously hosted by them:
errata to the 3rd edition. , also each of the end-of-chapter list of references were removed. The 2nd
ed. is a dense and pretty contiguous read. Hopefully there'll be a 4th ed!
-
D. Kleppner and R. Kolenkow,
An Introduction to Mechanics , 1st ed. 1973, McGraw-Hill.
Introduces rigid body motion, field and conservation theory, has a
frustrating hiccup but is an eminent first course in college mechanics.
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E. Maor,
The Pythagorean Theorem: A 4,000 Year History , Princeton
University Press, 2007.
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E. Merzbacher,
Quantum Mechanics , 3rd ed., J. Wiley & Sons, Inc., 1998.
-
I. Newton
The Principia: mathematical principles of natural philosophy;
transl. I. B. Cohen and A. Whitman, 1st ed. 1999, University of California
Press. Analysis.
-
M. Rosenlicht
Introduction to Analysis ,
Dover reprint 1986: 1st edition Scott, Foresman and Company, Glenview, IL 1968.
-
R.A. Silverman, Introductory Complex Analysis , Dover Publications, 1972. First published by Prentice-Hall, 1967.
Additional References
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H. Anton, Elementary Linear Algebra, 7th Edition, John Wiley &
Sons, 1994. A good math book for people new to college math, is used in
advanced college physics.
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