Problems and Solutions in Theoretical & Mathematical Physics: Advanced Level [Paperback]

Willi-Hans Steeb (Author)

Book Description

Publication Date: June 2003 | ISBN-10: 9812389873 | ISBN-13: 978-9812389879 | Edition: 2

A collection of problems with detailed solutions which should be useful to students and research workers in mathematics, physics, engineering and other sciences. The topics range in difficulty from elementary to advanced level. Almost all the problems are solved in detail and most of them are self-contained. All relevant definitions are given. Students can learn important principles and strategies required for problem solving. Teachers should find this text useful as a supplement, since important concepts and techniques are developed through the problems. The material has been tested in the author's lectures given around the world. The work is divided into two volumes. Volume I presents the introductory problems for undergraduate and advanced undergraduate students. In this volume, Volume II, the more advanced problems, together with detailed solutions, are collected, to meet the needs of graduate students and researchers. The problems included cover most of the new fields in theoretical and mathematical physics, such as Lax representation, Backlund transformation, soliton equations, Lie-algebra-valued differential forms, the Hirota technique, the Painleve test, the Bethe ansatz, the Yang-Baxter relation, chaos, fractals, complexity, and so on.

Editorial Reviews

From the Publisher

Readership: Undergraduates, graduate students, academics and researchers in physics, mathematics and engineering.

Product Details

• Paperback: 330 pages
• Publisher: World Scientific Pub Co Inc; 2 edition (June 2003)
• Language: English
• ISBN-10: 9812389873
• ISBN-13: 978-9812389879
• Product Dimensions: 9 x 6 x 0.8 inches
• Shipping Weight: 1.2 pounds
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #2,646,741 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

8 of 9 people found the following review helpful:

5.0 out of 5 stars Some of this Material is Undergrad Level but the rest! WHEW!, November 22, 2004

By 

Casey Hawthorne (Vancouver, BC Canada) - See all my reviews

This review is from: Problems and Solutions in Theoretical & Mathematical Physics: Advanced Level (Paperback)

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