PhysicsEtc.com Book References

• G. Arfken and H. Weber, Mathematical Methods for Physicists, 1st copyright: 1966, 4th ed. copyright: 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.
• M. Boas, Mathematical Methods In the Physical Sciences, 2nd ed. copyright 1983, 1st ed. copyright 1966, John Wiley & Sons. This can be read along with an intro calculus book (they're all pretty dull).
• W. Dunham, Euler: The Master of Us All, 1999, The Mathematical Association of America. Eureka! Great.
• L. Euler, Elements of Algebra, 1765, 1828 translation, 2015 republished, Creatspace of Amazon.com.
• R. Fitzpatrick, Introduction to Celestial Mechanics, Link to html book, 2014. Requires Goldstein. Including it for the treatment of lunar motion.
• H. Goldstein, Classical Mechanics, 2nd Edition, Addison Wesley, 1st copyright: 1950, 2nd: 1980. The third edition had many errors introduced by the new authors, as revealed by the expert community errata to the 3rd edition. , also each of the end-of-chapter references were removed. The 2nd ed. is a dense and pretty contiguous read. Hopefully there'll be a 4th ed! The "pro" version of Kleppner/Kolenkow.
• D. Kleppner and R. Kolenkow, An Introduction to Mechanics , 1st ed. copyright 1973, McGraw-Hill. Calculus is the only requiremet for this. It introduces rigid body motion, field and conservation theory, has a frustrating hiccup here and there but is an eminent first course in college mechanics.
• I. Newton The Principia: mathematical principles of natural philosophy; transl. I. B. Cohen and A. Whitman, 1st ed. copyright 1999, University of California Press.

Additional References

• 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.