problems and solutions for groups lie groups lie algebras with applications

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Problems And Solutions For Groups Lie Groups Lie Algebras With Applications

Author : Willi-Hans Steeb
ISBN : 9789813104112
Genre : Mathematics
File Size : 48. 58 MB
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The book presents examples of important techniques and theorems for Groups, Lie groups and Lie algebras. This allows the reader to gain understandings and insights through practice. Applications of these topics in physics and engineering are also provided. The book is self-contained. Each chapter gives an introduction to the topic.

Problems And Solutions For Groups Lie Groups Lie Algebras With Applications

Author : CTI Reviews
ISBN : 9781478414391
Genre : Education
File Size : 65. 12 MB
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Facts101 is your complete guide to Problems and Solutions for Groups, Lie Groups, Lie Algebras with Applications. In this book, you will learn topics such as Lie Algebras, Applications, plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.

Lie Groups

Author : Harriet Pollatsek
ISBN : 0883857596
Genre : Mathematics
File Size : 33. 65 MB
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The work of the Norwegian mathematician Sophus Lie extends ideas of symmetry and leads to many applications in mathematics and physics. Ordinarily, the study of the "objects" in Lie's theory (Lie groups and Lie algebras) requires extensive mathematical prerequisites beyond the reach of the typical undergraduate. By restricting to the special case of matrix Lie groups and relying on ideas from multivariable calculus and linear algebra, this lovely and important material becomes accessible even to college sophomores. Working with Lie's ideas fosters an appreciation of the unity of mathematics and the sometimes surprising ways in which mathematics provides a language to describe and understand the physical world.Lie Groups is an active learning text that can be used by students with a range of backgrounds and interests. The material is developed through 200 carefully chosen problems. This is the only book in the undergraduate curriculum to bring this material to students so early in their mathematical careers.

Groups And Symmetries

Author : Yvette Kosmann-Schwarzbach
ISBN : 9780387788661
Genre : Mathematics
File Size : 72. 83 MB
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- Combines material from many areas of mathematics, including algebra, geometry, and analysis, so students see connections between these areas - Applies material to physics so students appreciate the applications of abstract mathematics - Assumes only linear algebra and calculus, making an advanced subject accessible to undergraduates - Includes 142 exercises, many with hints or complete solutions, so text may be used in the classroom or for self study

Lie Groups Lie Algebras And Some Of Their Applications

Author : Robert Gilmore
ISBN : 9780486131566
Genre : Mathematics
File Size : 86. 18 MB
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This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and 17 tables, exercises and problems.

Lie Groups Physics And Geometry

Author : Robert Gilmore
ISBN : 9781139469074
Genre : Science
File Size : 86. 43 MB
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Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields.

A Survey Of Lie Groups And Lie Algebras With Applications And Computational Methods

Author : Johan G. F. Belinfante
ISBN : 1611971330
Genre : Lie algebras
File Size : 66. 27 MB
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Introduces the concepts and methods of the Lie theory in a form accessible to the non-specialist by keeping mathematical prerequisites to a minimum. Although the authors have concentrated on presenting results while omitting most of the proofs, they have compensated for these omissions by including many references to the original literature. Their treatment is directed toward the reader seeking a broad view of the subject rather than elaborate information about technical details. Illustrations of various points of the Lie theory itself are found throughout the book in material on applications. In this reprint edition, the authors have resisted the temptation of including additional topics. Except for correcting a few minor misprints, the character of the book, especially its focus on classical representation theory and its computational aspects, has not been changed.

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