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 : CTI Reviews
ISBN : 9781478414391
Genre : Education
File Size : 55. 45 MB
Format : PDF, Kindle
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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 as those in your book 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.

Problems And Solutions For Groups Lie Groups Lie Algebras With Applications

Author : Willi-Hans Steeb
ISBN : 9789813104112
Genre : Mathematics
File Size : 48. 56 MB
Format : PDF, Docs
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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.

Lie Groups

Author : Harriet Pollatsek
ISBN : 0883857596
Genre : Mathematics
File Size : 31. 83 MB
Format : PDF, ePub
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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 : 34. 15 MB
Format : PDF, ePub, Docs
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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

Problems And Solutions In Introductory And Advanced Matrix Calculus

Author : Willi-Hans Steeb
ISBN : 9789813143814
Genre : Mathematics
File Size : 62. 51 MB
Format : PDF
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This book provides an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus. Supplementary problems in each chapter will challenge and excite the reader, ideal for both graduate and undergraduate mathematics and theoretical physics students. The coverage includes systems of linear equations, linear differential equations, integration and matrices, Kronecker product and vec-operation as well as functions of matrices. Furthermore, specialized topics such as spectral theorem, nonnormal matrices and mutually unbiased bases are included. Many of the problems are related to applications for group theory, Lie algebra theory, wavelets, graph theory and matrix-valued differential forms, benefitting physics and engineering students and researchers alike. It also branches out to problems with tensors and the hyperdeterminant. Computer algebra programs in Maxima and SymbolicC++ have also been provided.

Lie Groups Lie Algebras And Some Of Their Applications

Author : Robert Gilmore
ISBN : 9780486131566
Genre : Mathematics
File Size : 81. 23 MB
Format : PDF
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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.

Applications Of Lie Groups To Differential Equations

Author : Peter J. Olver
ISBN : 0387950001
Genre : Language Arts & Disciplines
File Size : 52. 55 MB
Format : PDF
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This is a solid introduction to applications of Lie groups to differential equations which have proved to be useful in practice. Following an exposition of the applications, the book develops the underlying theory, with many of the topics presented in a novel way, emphasizing explicit examples and computations. Further examples and new theoretical developments appear in the exercises at the end of each chapter.

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