Problems and Solutions in Theoretical and Mathematical Physics

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Problems & Solutions in Theoretical & Mathematical Physics, Vol. 1: Introductory Level
1996年版， 作者：Willi-Hans Steeb
共239页

The aim of this work is to supply a collection of problems together with their detailed solutions, which should prove to be valuable to students as well as to research workers in the fields mathematics, physics, engineering and other sciences. The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained. All relevant definitions are given. Volume I presents the introductory problems for undergraduate and advanced undergraduate students. In Volume II, the more advanced problems together with their detailed solutions are collected, to meet the needs of graduate students and researchers. 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, Hirota technique, Painleve test, the Bethe ansatz, the Yang-Baxter relation, chaos and fractals

Problems and Solutions in Theoretical & Mathematical Physics: Advanced Level
2003年第二版， 作者：Willi-Hans Steeb
共368页

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.

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关键词：Mathematical Theoretical mathematica Mathematic solutions difficulty collection research detailed problems

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