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sci.physics Frequently Asked Questions (Part 1 of 4)
Section - Mathematical Physics

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These are books that are sort of talky and fun to read (but still 
substantial - some harder than others). These include things 
mathematicians can read about physics as well as vice versa.  These 
books are different than the "bibles" one must have on hand at all 
times to do mathematical physics.

1] Yvonne Choquet-Bruhat, Cecile DeWitt-Morette, and Margaret
Dillard-Bleick, Analysis, manifolds, and physics (2 volumes)

Something every mathematical physicist should have at her bedside
until she knows it inside and out - but some people say it's not
especially easy to read.


2] Jean Dieudonne, A panorama of pure mathematics, as seen by N. Bourbaki,
   translated by I.G. Macdonald.
Gives the big picture in math.


3] Robert Hermann, Lie groups for physicists, Benjamin-Cummings, 1966.

4] George Mackey, Quantum mechanics from the point of view of the theory 
of group representations, Mathematical Sciences Research Institute,
1984.

5] George Mackey, Unitary group representations in physics, probability,
and number theory.

6] Charles Nash and S. Sen, Topology and geometry for physicists.

7] B. Booss and D.D. Bleecker, Topology and analysis: the Atiyah-Singer
index formula and  gauge-theoretic physics.

8] Bamberg and S. Sternberg, A Course of Mathematics for Students of
   Physics.

9] Bishop & Goldberg: Tensor Analysis on Manifolds.

10] Flanders : Differential Forms with applications to the Physical Sciences.

11] Dodson & Poston Tensor Geometry.

12] von Westenholz: Differential forms in Mathematical Physics.


13] Abraham, Marsden & Ratiu: Manifolds, Tensor Analysis and Applications.

14] M. Nakahara, Topology, Geometry and Physics.

15] Morandi:     The Role of Topology in Classical and Quantum Physics

16] Singer, Thorpe:  Lecture Notes on Elemetary Topology and Geometry

17] L. Kauffman: Knots and Physics, World Scientific, Singapore, 1991.

18] Yang, C and Ge, M: Braid group, Knot Theory & Statistical Mechanics.

19] Kastler, D: C-algebras and their applications to Statistical
    Mechanics and Quantum Field Theory.

20] Courant and Hilbert "Methods of Mathematical Physics" Wiley
Really a math book in disguise. Emphasis on ODE's and PDE's.
Proves existence, etc. Very comprehensive. 2 volumes.

21] Cecille Dewitt: is publishing a book on manifolds that
should be out soon (maybe already is). Very high level, but supposedly
of great importance for anyone needing to set the Feynman path integral
in a firm foundation.

22] Howard Georgi, "Lie Groups for Particle Phyiscs" 
Addison Wesley Frontiers in Physics Series.

23] Synge and Schild 

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Top Document: sci.physics Frequently Asked Questions (Part 1 of 4)
Previous Document: Optics (Classical and Quantum), Lasers
Next Document: Atomic Physics

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Last Update March 27 2014 @ 02:12 PM