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 | : 352 |
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 | : 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 | : 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 | : 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 | : 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
Contemporary introduction to semisimple Lie algebras; concise and informal, with numerous exercises and examples
Author | : Anthony W. Knapp |
Publisher | : Princeton University Press |
Total Pages | : 522 |
Release | : 1988-05-21 |
Genre | : Mathematics |
ISBN | : 069108498X |
Download Lie Groups, Lie Algebras, and Cohomology Book in PDF, ePub and Kindle
This book starts with the elementary theory of Lie groups of matrices and arrives at the definition, elementary properties, and first applications of cohomological induction, which is a recently discovered algebraic construction of group representations. Along the way it develops the computational techniques that are so important in handling Lie groups. The book is based on a one-semester course given at the State University of New York, Stony Brook in fall, 1986 to an audience having little or no background in Lie groups but interested in seeing connections among algebra, geometry, and Lie theory. These notes develop what is needed beyond a first graduate course in algebra in order to appreciate cohomological induction and to see its first consequences. Along the way one is able to study homological algebra with a significant application in mind; consequently one sees just what results in that subject are fundamental and what results are minor.
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 | : Harriet Suzanne Katcher Pollatsek |
Publisher | : MAA |
Total Pages | : 194 |
Release | : 2009-09-24 |
Genre | : Mathematics |
ISBN | : 9780883857595 |
Download Lie Groups Book in PDF, ePub and Kindle
This textbook is a complete introduction to Lie groups for undergraduate students. The only prerequisites are multi-variable calculus and linear algebra. The emphasis is placed on the algebraic ideas, with just enough analysis to define the tangent space and the differential and to make sense of the exponential map. This textbook works on the principle that students learn best when they are actively engaged. To this end nearly 200 problems are included in the text, ranging from the routine to the challenging level. Every chapter has a section called 'Putting the pieces together' in which all definitions and results are collected for reference and further reading is suggested.
Author | : Robert Gilmore |
Publisher | : |
Total Pages | : 587 |
Release | : 1994-01-01 |
Genre | : Mathematics |
ISBN | : 9780894647598 |
Download Lie Groups, Lie Algebras, and Some of Their Applications Book in PDF, ePub and Kindle
With rigor and clarity, this upper-level undergraduate text employs numerous exercises, solved problems, and figures to introduce upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in expressing concepts and results from several fields of physics. 1974 edtion. Includes 75 figures and 17 tables.
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.