Further Reading for MA/PHY 506, Fall 2005:


You should find the following references helpful. Items marked by an * have been placed on reserve in the Chem-Phys Library. Note that copies of the course textbook (Butkov, Mathematical Physics) have been placed on reserve as well.

Comprehensive Texts

*Frederick W. Byron, Jr. and Robert W. Fuller, Mathematics of Classical and Quantum Physics.
Used previously for Ma/Phy 506.

*P. Dennery and A. Krzywicki, Mathematics for Physicists.
Used previously for Ma/Phy 506.

*G. B. Arfken and H.-J. Weber, Mathematical Methods for Physicists.

*J. Mathews and R. Walker, Mathematical Methods for Physicists.
Slightly more sophisticated than the other treatments.

*P. M. Morse and H. Feshbach, Methods of Theoretical Physics, v. I and II.
A classic.

General References

*M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions.

*I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products.

Edward C. Titchmarsh, Theory of Functions.

E. T. Whittaker and G. N. Watson, A Course of Modern Analysis.

Texts on Complex Analysis

*G. F. Carrier, M. Krook, and C. E. Pearson, Functions of a Complex Variable.
A lovely book.

R. V. Churchill, J. W. Brown, and R. F. Verhey, Complex Variables and Applications.

Tristan Needham, Visual Complex Analysis.
An appealing new (2000) book.

Websites related to ``Visual Complex Analysis'': many appealing java applets and animated gifs.

Texts Relating to Waves and Continuum Mechanics

*A. Fetter and J. D. Walecka, Theoretical Mechanics of Particles and Continua.
A nice, comprehensive text; its appendices succinctly summarize some of the mathematics we will learn in Ma/Phy 506.

G. K. Batchelor, Introduction to Fluid Dynamics.

Carl B. Boyer, The Rainbow: From Myth to Mathematics.

Help for Using Maple

N.B. a help facility exists online within Maple.

Maple Resource Site : Note particularly "Intro to Maple".

A. Heck, Introduction to Maple.
You may well find the electronic help resources more convenient.