Methods of
Mathematical Physics I

PHY 615 (Section P), Fall Semester, August 25 -
December 2, 2011

In this class we will study some techniques from pure and applied mathematics which I have found to be useful in theoretical physics.

According to the course catalog, in PHY615 we should cover: Special
functions, PDEs,
Green functions, Calculus of variations. And in
PHY616: Vector spaces, Operators, Numerical analysis,
Probability and Statistics. I plan to pick and choose
various topics from all of these areas as the semester progresses,
but not necessarily in the order given.

Discussions or Make-ups:

Office and Hours:

325 Knight Physics Bldg., after lecture or by appointment (phone: 284 - 2324 ext 4; email: curtright@physics.miami.edu).

Grading Policy:

Your grade will be based with equal weight on each of

- the complete set of graded problems,
- the midterm exam,
- and the final exam.

You may have already purchased this text for use in PHY515 last year.

K. F. Riley, M. P. Hobson, S. J. Bence

Other Recommended Material:

(1) My old lecture notes.

(2) Professor Nearing's online textbook for PHY315, also available in hardcopy, Mathematical Tools for Physics, Dover, 2010.

(3) Mathematics for the Physical Sciences and generatingfunctionology by Herbert Wilf.

(4) A=B by Marko Petkovsek, Herbert Wilf and Doron Zeilberger, A K Peters Publishers, 1996. A book about identities in general, and hypergeometric identities in particular, with emphasis on computer methods of discovery and proof.

(5) Linear Mathematics in Infinite Dimensions, by U. H. Gerlach, 2nd Beta Edition, 2017. Signals, boundary value problems, and special functions.

(6) Mathematical Methods in Biology, Leah Edelstein-Keshet, SIAM, 2005.

(7)

(8)

Useful software internet sites:

(1) Maple

(2) Mathematica (free 15 day trial version! also see the free information on the MathWorld and Functions pages)

(3) Scientific WorkPlace (free 30 day trial version!)