group theory

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Introduction To Group Theory

Author : Oleg Vladimirovič Bogopolʹskij
ISBN : 3037190418
Genre : Combinatorial group theory
File Size : 73. 71 MB
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Group Theory And Its Applications

Author : Ernest M. Loebl
ISBN : 9781483263786
Genre : Mathematics
File Size : 30. 5 MB
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Group Theory and its Applications, Volume II covers the two broad areas of applications of group theory, namely, all atomic and molecular phenomena, as well as all aspects of nuclear structure and elementary particle theory. This volume contains five chapters and begins with the representation and tensor operators of the unitary groups. The next chapter describes wave equations, both Schrödinger’s and Dirac’s for a wide variety of potentials. These topics are followed by discussions of the applications of dynamical groups in dealing with bound-state problems of atomic and molecular physics. A chapter explores the connection between the physical constants of motion and the unitary group of the Hamiltonian, the symmetry adaptation with respect to arbitrary finite groups, and the Dixon method for computing irreducible characters without the occurrence of numerical errors. The last chapter deals with the study of the extension, representation, and applications of Galilei group. This book will prove useful to mathematicians, practicing engineers, and physicists.

Finite Group Theory

Author : M. Aschbacher
ISBN : 0521786754
Genre : Mathematics
File Size : 65. 11 MB
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The book provides the basic foundations for the local theory of finite groups, the theory of classical linear groups, and the theory of buildings and BN-pairs.

Fundamentals Of Group Theory

Author : Steven Roman
ISBN : 9780817683016
Genre : Mathematics
File Size : 90. 69 MB
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Fundamentals of Group Theory provides a comprehensive account of the basic theory of groups. Both classic and unique topics in the field are covered, such as an historical look at how Galois viewed groups, a discussion of commutator and Sylow subgroups, and a presentation of Birkhoff’s theorem. Written in a clear and accessible style, the work presents a solid introduction for students wishing to learn more about this widely applicable subject area. This book will be suitable for graduate courses in group theory and abstract algebra, and will also have appeal to advanced undergraduates. In addition it will serve as a valuable resource for those pursuing independent study. Group Theory is a timely and fundamental addition to literature in the study of groups.

Topics In Group Theory

Author : Geoff Smith
ISBN : 1852332352
Genre : Mathematics
File Size : 31. 56 MB
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The theory of groups is simultaneously a branch of abstract algebra and the study of symmetry. Designed for readers approaching the subject for the first time, this book reviews all the essentials. It recaps the basic definitions and results, including Lagranges Theorem, the isomorphism theorems and group actions. Later chapters include material on chain conditions and finiteness conditions, free groups and the theory of presentations. In addition, a novel chapter of "entertainments" demonstrates an assortment of results that can be achieved with the theoretical machinery.

Group Theory

Author : A.K. Sharma
ISBN : 8171418783
Genre : Group theory
File Size : 76. 86 MB
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This book Group Theory has been written for the students of B.A/B.Sc., students. This book is also helpful to the candidate appearing in various competitions like pre Engineering/I.A.S/P.C.S etc. The book contains: Groups, Homomorphism and Isomorphism, Subgroups of a Group, Permutation, and Normal Subgroups. The proofs of various theorems and examples have been given minute deals each chapter of this book contains complete theory and fairly large number of solved examples. Contents: Groups, Homomorphism and Isomorphism, Subgroups of a Group, Permutation, Normal Subgroups.

Visual Group Theory

Author : Nathan Carter
ISBN : 088385757X
Genre : Mathematics
File Size : 81. 64 MB
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Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts. But its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.

Finite Group Theory

Author : I. Martin Isaacs
ISBN : 0821884093
Genre : Mathematics
File Size : 50. 58 MB
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Group Theory And Constellations

Author : Henri Bacry
ISBN : 9782748303056
Genre :
File Size : 31. 33 MB
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Group Theory

Author : Mildred S. Dresselhaus
ISBN : 9783540328971
Genre : Science
File Size : 71. 39 MB
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This concise, class-tested book was refined over the authors’ 30 years as instructors at MIT and the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory along with applications helps students to learn, understand and use it for their own needs. Thus, the theoretical background is confined to introductory chapters. Subsequent chapters develop new theory alongside applications so that students can retain new concepts, build on concepts already learned, and see interrelations between topics. Essential problem sets between chapters aid retention of new material and consolidate material learned in previous chapters.

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