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

Willi-Hans Steeb (Author)

Book Description

Publication Date: June 2003 | ISBN-10: 9812389881 | ISBN-13: 978-9812389886 | Edition: 2 Sub

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

• Hardcover: 330 pages
• Publisher: World Scientific Pub Co Inc; 2 Sub edition (June 2003)
• Language: English
• ISBN-10: 9812389881
• ISBN-13: 978-9812389886
• Product Dimensions: 9.1 x 6.3 x 0.9 inches
• Shipping Weight: 1.4 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #3,557,714 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