Problems and Solutions in Theoretical & Mathematical Physics: Advanced Level
By Willi-Hans Steeb
Publisher: World Scientific Pub Co Inc
Number Of Pages: 330
Publication Date: 2003-06
ISBN-10 / ASIN: 9812389873
ISBN-13 / EAN: 9789812389879
Book Description
Text contains a collection of problems with detailed solutions, for graduate students and researchers. Problems included cover most of the new fields in theoretical and mathematical physics; such as Lax representation, Backlund transformation, and soliton equations. Softcover, hardcover available.
Table of Contents follows:
Volume 2: Advanced/Graduate Level
1 Lax Representations in Classical Mechanics
2 Kronecker and Tensor Products
3 Nambu Mechanics
4 Gateaux and Frechet Derivatives
5 Stability and Bifurcations
6 Nonlinear Ordinary Difference Equations
7 Nonlinear Ordinary Differential Equations
8 Groups
9 Generalized Functions
10 Linear Partial Differential Equations
11 Nonlinear Partial Differential Equations
12 Group Theoretical Reductions
13 Backland Transformations
14 Soliton Equations
15 Lax Pairs for Partial Differential Equations
16 Hirota Technique
17 Painleve Test
18 Lie Algebras
19 Differential Forms
20 Lie Derivative
21 Metric Tensor Fields
22 Killing Vector Fields
23 Inequalities
24 Ising Model and Heisenberg Model
25 Number Theory
26 Combinatorial Problems
27 Fermi Operators
28 Bose Operators
29 Lax Representations and Bethe Ansatz
30 Gauge Transformations
31 Chaos, Fractals and Complexity
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