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Author : John Edward Campbell
Publisher :
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.F/5 ( download)
Download or read book Introductory Treatise on Lie's Theory of Finite Continuous Transformation Groups written by John Edward Campbell and published by . This book was released on 1903 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Gilmore
Publisher : Courier Corporation
ISBN 13 : 0486131564
Total Pages : 610 pages
Book Rating : 4.4/5 (861 download)
Download or read book Lie Groups, Lie Algebras, and Some of Their Applications written by Robert Gilmore and published by Courier Corporation. This book was released on 2012-05-23 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : John Edward Campbell
Publisher :
ISBN 13 :
Total Pages : 452 pages
Book Rating : 4.:/5 (89 download)
Download or read book Introductory Treatise on Lie's Theory of Finite Continuous Transformation Groups written by John Edward Campbell and published by . This book was released on 1903 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Edward Campbell
Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.:/5 (468 download)
Download or read book Introductory Treatise on Lie's Theory of Finite Continuous Transformation Groups written by John Edward Campbell and published by . This book was released on 1991 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Neelacanta Sthanumoorthy
Publisher : Academic Press
ISBN 13 : 012804683X
Total Pages : 514 pages
Book Rating : 4.1/5 (28 download)
Download or read book Introduction to Finite and Infinite Dimensional Lie (Super)algebras written by Neelacanta Sthanumoorthy and published by Academic Press. This book was released on 2016-04-26 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory. Introduction to Finite and Infinite Dimensional Lie Algebras and Superalgebras introduces the theory of Lie superalgebras, their algebras, and their representations. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semi-simple Lie algebras. While discussing all classes of finite and infinite dimensional Lie algebras and Lie superalgebras in terms of their different classes of root systems, the book focuses on Kac-Moody algebras. With numerous exercises and worked examples, it is ideal for graduate courses on Lie groups and Lie algebras. - Discusses the fundamental structure and all root relationships of Lie algebras and Lie superalgebras and their finite and infinite dimensional representation theory - Closely describes BKM Lie superalgebras, their different classes of imaginary root systems, their complete classifications, root-supermultiplicities, and related combinatorial identities - Includes numerous tables of the properties of individual Lie algebras and Lie superalgebras - Focuses on Kac-Moody algebras
Author : Fritz Schwarz
Publisher : CRC Press
ISBN 13 : 1584888903
Total Pages : 446 pages
Book Rating : 4.5/5 (848 download)
Download or read book Algorithmic Lie Theory for Solving Ordinary Differential Equations written by Fritz Schwarz and published by CRC Press. This book was released on 2007-10-02 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the fact that Sophus Lie's theory was virtually the only systematic method for solving nonlinear ordinary differential equations (ODEs), it was rarely used for practical problems because of the massive amount of calculations involved. But with the advent of computer algebra programs, it became possible to apply Lie theory to concrete proble
Author : British Museum. Dept. of Printed Books
Publisher :
ISBN 13 :
Total Pages : 1162 pages
Book Rating : 4.:/5 (319 download)
Download or read book List of Books Forming the Reference Library in the Reading Room of the British Museum written by British Museum. Dept. of Printed Books and published by . This book was released on 1910 with total page 1162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nail H. Ibragimov
Publisher : CRC Press
ISBN 13 : 1040294103
Total Pages : 554 pages
Book Rating : 4.0/5 (42 download)
Download or read book CRC Handbook of Lie Group Analysis of Differential Equations, Volume III written by Nail H. Ibragimov and published by CRC Press. This book was released on 2024-11-01 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.
Author : Jeremy Gray
Publisher : Princeton University Press
ISBN 13 : 0691242038
Total Pages : 608 pages
Book Rating : 4.6/5 (912 download)
Download or read book Henri Poincaré written by Jeremy Gray and published by Princeton University Press. This book was released on 2022-12-13 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive look at the mathematics, physics, and philosophy of Henri Poincaré Henri Poincaré (1854–1912) was not just one of the most inventive, versatile, and productive mathematicians of all time—he was also a leading physicist who almost won a Nobel Prize for physics and a prominent philosopher of science whose fresh and surprising essays are still in print a century later. The first in-depth and comprehensive look at his many accomplishments, Henri Poincaré explores all the fields that Poincaré touched, the debates sparked by his original investigations, and how his discoveries still contribute to society today. Math historian Jeremy Gray shows that Poincaré's influence was wide-ranging and permanent. His novel interpretation of non-Euclidean geometry challenged contemporary ideas about space, stirred heated discussion, and led to flourishing research. His work in topology began the modern study of the subject, recently highlighted by the successful resolution of the famous Poincaré conjecture. And Poincaré's reformulation of celestial mechanics and discovery of chaotic motion started the modern theory of dynamical systems. In physics, his insights on the Lorentz group preceded Einstein's, and he was the first to indicate that space and time might be fundamentally atomic. Poincaré the public intellectual did not shy away from scientific controversy, and he defended mathematics against the attacks of logicians such as Bertrand Russell, opposed the views of Catholic apologists, and served as an expert witness in probability for the notorious Dreyfus case that polarized France. Richly informed by letters and documents, Henri Poincaré demonstrates how one man's work revolutionized math, science, and the greater world.
Author : Carl Wulfman
Publisher : World Scientific
ISBN 13 : 9814291366
Total Pages : 459 pages
Book Rating : 4.8/5 (142 download)
Download or read book Dynamical Symmetry written by Carl Wulfman and published by World Scientific. This book was released on 2011 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whenever systems are governed by continuous chains of causes and effects, their behavior exhibits the consequences of dynamical symmetries, many of them far from obvious. Dynamical Symmetry introduces the reader to Sophus Lie's discoveries of the connections between differential equations and continuous groups that underlie this observation. It develops and applies the mathematical relations between dynamics and geometry that result. Systematic methods for uncovering dynamical symmetries are described, and put to use. Much material in the book is new and some has only recently appeared in research journals. Though Lie groups play a key role in elementary particle physics, their connection with differential equations is more often exploited in applied mathematics and engineering. Dynamical Symmetry bridges this gap in a novel manner designed to help readers establish new connections in their own areas of interest. Emphasis is placed on applications to physics and chemistry. Applications to many of the other sciences illustrate both general principles and the ubiquitousness of dynamical symmetries.
Author : Jean-Paul Pier
Publisher : OUP Oxford
ISBN 13 : 0191544949
Total Pages : 440 pages
Book Rating : 4.1/5 (915 download)
Download or read book Mathematical Analysis during the 20th Century written by Jean-Paul Pier and published by OUP Oxford. This book was released on 2001-07-05 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: For several centuries, analysis has been one of the most prestigious and important subjects in mathematics. The present book sets off by tracing the evolution of mathematical analysis, and then endeavours to understand the developments of main trends, problems, and conjectures. It features chapters on general topology, 'classical' integration and measure theory, functional analysis, harmonic analysis and Lie groups, theory of functions and analytic geometry, differential and partial differential equations, topological and differential geometry. The ubiquitous presence of analysis also requires the consideration of related topics such as probability theory or algebraic geometry. Each chapter features a comprehensive first part on developments during the period 1900-1950, and then provides outlooks on representative achievements during the later part of the century. The book provides many original quotations from outstanding mathematicians as well as an extensive bibliography of the seminal publications. It will be an interesting and useful reference work for graduate students, lecturers, and all professional mathematicians and other scientists with an interest in the history of mathematics.
Author : Andrea Bonfiglioli
Publisher : Springer
ISBN 13 : 3642225977
Total Pages : 554 pages
Book Rating : 4.6/5 (422 download)
Download or read book Topics in Noncommutative Algebra written by Andrea Bonfiglioli and published by Springer. This book was released on 2011-10-11 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, Numerical Analysis, Theoretical Physics, Control Theory, sub-Riemannian Geometry), this monograph is intended to: fully enable readers (graduates or specialists, mathematicians, physicists or applied scientists, acquainted with Algebra or not) to understand and apply the statements and numerous corollaries of the main result, provide a wide spectrum of proofs from the modern literature, comparing different techniques and furnishing a unifying point of view and notation, provide a thorough historical background of the results, together with unknown facts about the effective early contributions by Schur, Poincaré, Pascal, Campbell, Baker, Hausdorff and Dynkin, give an outlook on the applications, especially in Differential Geometry (Lie group theory) and Analysis (PDEs of subelliptic type) and quickly enable the reader, through a description of the state-of-art and open problems, to understand the modern literature concerning a theorem which, though having its roots in the beginning of the 20th century, has not ceased to provide new problems and applications. The book assumes some undergraduate-level knowledge of algebra and analysis, but apart from that is self-contained. Part II of the monograph is devoted to the proofs of the algebraic background. The monograph may therefore provide a tool for beginners in Algebra.
Author : Library Association
Publisher :
ISBN 13 :
Total Pages : 752 pages
Book Rating : 4.A/5 ( download)
Download or read book Library Association Record written by Library Association and published by . This book was released on 1904 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the 22d-33d annual conference of the Library Association in v. 1-12; proceedings of the 34th-44th, 47th-57th annual conference issued as a supplement to v. 13-23, new ser. v. 3-ser. 4, v. 1.
Author :
Publisher :
ISBN 13 :
Total Pages : 968 pages
Book Rating : 4.:/5 (334 download)
Download or read book Annual List of New and Important Books Added to the Public Library of the City of Boston written by and published by . This book was released on 1904 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Boston Public Library
Publisher :
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.3/5 (91 download)
Download or read book Annual List of New and Important Books Added to the Public Library of the City of Boston written by Boston Public Library and published by . This book was released on 1905 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : London Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 614 pages
Book Rating : 4.F/5 ( download)
Download or read book Proceedings of the London Mathematical Society written by London Mathematical Society and published by . This book was released on 1925 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Papers presented to J. E. Littlewood on his 80th birthday" issued as 3d ser., v. 14 A, 1965.
Author :
Publisher :
ISBN 13 :
Total Pages : 1180 pages
Book Rating : 4.A/5 ( download)
Download or read book Subject Index of the Modern Works Added to the Library of the British Museum in the Years ... written by and published by . This book was released on 1906 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
