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 professionalgrade version of Boas's book.
Both the college level book and Arfken cover a lot of the same material; where Boas uses words to assist the association of articulated meaning in functions, etc, Arfken 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.
Requires a year of calculus.

W. Dunham,
Euler: The Master of Us All,
1999, The Mathematical Association of America.
Great treatment of exponentials.

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 editors
Woe
), along with the endofchapter
references removed. The pro version of Kleppner/Kolenkow.

D. Kleppner and R. Kolenkow,
An Introduction to Mechanics ,
1st ed. copyright 1973, McGrawHill.
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.
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