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 : 60. 44 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 : 28. 36 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 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 In Group Theory For Physicists

Author : Zhong-Qi Ma
ISBN : 9789814482769
Genre : Mathematics
File Size : 27. 48 MB
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' This book is aimed at graduate students in physics who are studying group theory and its application to physics. It contains a short explanation of the fundamental knowledge and method, and the fundamental exercises for the method, as well as some important conclusions in group theory. The book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry. Contents:Review on Linear AlgebrasGroup and Its SubsetsTheory of RepresentationsThree-Dimensional Rotation GroupSymmetry of CrystalsPermutation GroupsLie Groups and Lie AlgebrasUnitary GroupsReal Orthogonal GroupsThe Symplectic Groups Keywords:Group Theory;Problems and Solutions;Exercises;Theory of Angular Momentum;Finite Group;Symmetry Group of Polyhedron;Space Groups;Permutation Group;Young Operator;Lie Group;Lie AlgebraReviews:“The authors present an interesting book explaining group theory in terms of physics, closing an often observed gap in the literature between abstract mathematical theory and physical applications … It is self-contained as much as is possible. Many examples and exercises, including solutions, allow the reader to become more familiar with the subject.”Mathematical Reviews '

Groups And Symmetries

Author : Yvette Kosmann-Schwarzbach
ISBN : 9780387788661
Genre : Mathematics
File Size : 60. 28 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

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 : 84. 46 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.

Lie Groups Physics And Geometry

Author : Robert Gilmore
ISBN : 9781139469074
Genre : Science
File Size : 44. 71 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.

Problems And Solutions In Introductory And Advanced Matrix Calculus

Author : Willi-Hans Steeb
ISBN : 9789813143814
Genre : Mathematics
File Size : 37. 23 MB
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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.

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