Problems And Solutions For Groups Lie Groups Lie Algebras With Applications PDF Download
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Author | : Willi-hans Steeb |
Publisher | : World Scientific Publishing Company |
Total Pages | : 353 |
Release | : 2012-04-26 |
Genre | : Mathematics |
ISBN | : 9813104112 |
Download Problems And Solutions For Groups, Lie Groups, Lie Algebras With Applications Book in PDF, ePub and Kindle
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.
Author | : Peter J. Olver |
Publisher | : Springer Science & Business Media |
Total Pages | : 524 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1468402749 |
Download Applications of Lie Groups to Differential Equations Book in PDF, ePub and Kindle
This book is devoted to explaining a wide range of applications of con tinuous symmetry groups to physically important systems of differential equations. Emphasis is placed on significant applications of group-theoretic methods, organized so that the applied reader can readily learn the basic computational techniques required for genuine physical problems. The first chapter collects together (but does not prove) those aspects of Lie group theory which are of importance to differential equations. Applications covered in the body of the book include calculation of symmetry groups of differential equations, integration of ordinary differential equations, including special techniques for Euler-Lagrange equations or Hamiltonian systems, differential invariants and construction of equations with pre scribed symmetry groups, group-invariant solutions of partial differential equations, dimensional analysis, and the connections between conservation laws and symmetry groups. Generalizations of the basic symmetry group concept, and applications to conservation laws, integrability conditions, completely integrable systems and soliton equations, and bi-Hamiltonian systems are covered in detail. The exposition is reasonably self-contained, and supplemented by numerous examples of direct physical importance, chosen from classical mechanics, fluid mechanics, elasticity and other applied areas.
Author | : Robert Gilmore |
Publisher | : Cambridge University Press |
Total Pages | : 5 |
Release | : 2008-01-17 |
Genre | : Science |
ISBN | : 113946907X |
Download Lie Groups, Physics, and Geometry Book in PDF, ePub and Kindle
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.
Author | : Cram101 Textbook Reviews |
Publisher | : Cram101 |
Total Pages | : 56 |
Release | : 2013-05 |
Genre | : |
ISBN | : 9781478471509 |
Download Studyguide for Problems and Solutions for Groups, Lie Groups, Lie Algebras with Applications by Steeb, Willi-Hans Book in PDF, ePub and Kindle
Never HIGHLIGHT a Book Again Includes all testable terms, concepts, persons, places, and events. Cram101 Just the FACTS101 studyguides gives all of the outlines, highlights, and quizzes for your textbook with optional online comprehensive practice tests. Only Cram101 is Textbook Specific. Accompanies: 9780872893795. This item is printed on demand.
Author | : Robert Gilmore |
Publisher | : Courier Corporation |
Total Pages | : 610 |
Release | : 2012-05-23 |
Genre | : Mathematics |
ISBN | : 0486131564 |
Download Lie Groups, Lie Algebras, and Some of Their Applications Book in PDF, ePub and Kindle
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.
Author | : Melvin Hausner |
Publisher | : CRC Press |
Total Pages | : 242 |
Release | : 1968 |
Genre | : Lie algebras |
ISBN | : 0677002807 |
Download Lie Groups, Lie Algebras Book in PDF, ePub and Kindle
Polished lecture notes provide a clean and usefully detailed account of the standard elements of the theory of Lie groups and algebras. Following nineteen pages of preparatory material, Part I (seven brief chapters) treats "Lie groups and their Lie algebras"; Part II (seven chapters) treats "complex semi-simple Lie algebras"; Part III (two chapters) treats "real semi-simple Lie algebras". The page design is intimidatingly dense, the exposition very much in the familiar "definition/lemma/proof/theorem/proof/remark" mode, and there are no exercises or bibliography. (NW) Annotation copyrighted by Book News, Inc., Portland, OR
Author | : Elizabeth A. Tanner |
Publisher | : Springer Science & Business Media |
Total Pages | : 493 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401110786 |
Download Noncompact Lie Groups and Some of Their Applications Book in PDF, ePub and Kindle
During the past two decades representations of noncompact Lie groups and Lie algebras have been studied extensively, and their application to other branches of mathematics and to physical sciences has increased enormously. Several theorems which were proved in the abstract now carry definite mathematical and physical sig nificance. Several physical observations which were not understood before are now explained in terms of models based on new group-theoretical structures such as dy namical groups and Lie supergroups. The workshop was designed to bring together those mathematicians and mathematical physicists who are actively working in this broad spectrum of research and to provide them with the opportunity to present their recent results and to discuss the challenges facing them in the many problems that remain. The objective of the workshop was indeed well achieved. This book contains 31 lectures presented by invited participants attending the NATO Advanced Research Workshop held in San Antonio, Texas, during the week of January 3-8, 1993. The introductory article by the editors provides a brief review of the concepts underlying these lectures (cited by author [*]) and mentions some of their applications. The articles in the book are grouped under the following general headings: Lie groups and Lie algebras, Lie superalgebras and Lie supergroups, and Quantum groups, and are arranged in the order in which they are cited in the introductory article. We are very thankful to Dr.
Author | : Alexander A. Kirillov |
Publisher | : Cambridge University Press |
Total Pages | : 237 |
Release | : 2008-07-31 |
Genre | : Mathematics |
ISBN | : 0521889693 |
Download An Introduction to Lie Groups and Lie Algebras Book in PDF, ePub and Kindle
This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.
Author | : Johan G. F. Belinfante |
Publisher | : SIAM |
Total Pages | : 175 |
Release | : 1989-01-01 |
Genre | : Mathematics |
ISBN | : 9781611971330 |
Download A Survey of Lie Groups and Lie Algebras with Applications and Computational Methods Book in PDF, ePub and Kindle
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.
Author | : Peter Ellsworth Hydon |
Publisher | : Cambridge University Press |
Total Pages | : 230 |
Release | : 2000-01-28 |
Genre | : Mathematics |
ISBN | : 9780521497862 |
Download Symmetry Methods for Differential Equations Book in PDF, ePub and Kindle
This book is a straightforward introduction to the subject of symmetry methods for solving differential equations, and is aimed at applied mathematicians, physicists, and engineers. The presentation is informal, using many worked examples to illustrate the main symmetry methods. It is written at a level suitable for postgraduates and advanced undergraduates, and is designed to enable the reader to master the main techniques quickly and easily.The book contains some methods that have not previously appeared in a text. These include methods for obtaining discrete symmetries and integrating factors.