A Course on Group Theory

Author: John S. Rose

Publisher: Courier Corporation

ISBN: 0486170667

Category: Mathematics

Page: 320

View: 2146

Text for advanced courses in group theory focuses on finite groups, with emphasis on group actions. Explores normal and arithmetical structures of groups as well as applications. 679 exercises. 1978 edition.

Finite Groups

A Second Course on Group Theory

Author: Bertram A. F. Wehrfritz

Publisher: World Scientific

ISBN: 9789810238742

Category: Mathematics

Page: 123

View: 6639

The theory of groups, especially of finite groups, is one of the most delightful areas of mathematics. Its proofs often have elegance and crystalline beauty. This textbook is intended for the reader who has been exposed to about three years of serious mathematics. The notion of a group appears widely in mathematics and even further afield in physics and chemistry, and the fundamental idea should be known to all mathematicians. In this textbook a purely algebraic approach is taken and the choice of material is based upon the notion of conjugacy. The aim is not only to cover basic material, but also to present group theory as a living, vibrant and growing discipline, by including references and discussion of some work up to the present day.

A Course in Group Theory

Author: J. F. Humphreys

Publisher: Oxford University Press on Demand

ISBN: 9780198534594

Category: Business & Economics

Page: 279

View: 1952

Each chapter ends with a summary of the material covered and notes on the history and development of group theory.

A Course on Group Theory (Dover Books on Mathematics)

Author: Emma N. Hartley

Publisher: CreateSpace

ISBN: 9781516813001

Category:

Page: 166

View: 6806

Thought-provoking and accessible in approach, this updated and expanded second edition of the A Course on Group Theory (Dover Books on Mathematics) provides a user-friendly introduction to the subject, Taking a clear structural framework, it guides the reader through the subject's core elements. A flowing writing style combines with the use of illustrations and diagrams throughout the text to ensure the reader understands even the most complex of concepts. This succinct and enlightening overview is a required reading for advanced graduate-level students. We hope you find this book useful in shaping your future career. Feel free to send us your enquiries related to our publications to [email protected] Rise Press

A Course on Finite Groups

Author: H.E. Rose

Publisher: Springer Science & Business Media

ISBN: 9781848828896

Category: Mathematics

Page: 311

View: 1056

Introduces the richness of group theory to advanced undergraduate and graduate students, concentrating on the finite aspects. Provides a wealth of exercises and problems to support self-study. Additional online resources on more challenging and more specialised topics can be used as extension material for courses, or for further independent study.

A Course in the Theory of Groups

Author: Derek J.S. Robinson

Publisher: Springer Science & Business Media

ISBN: 1441985948

Category: Mathematics

Page: 502

View: 8727

"An excellent up-to-date introduction to the theory of groups. It is general yet comprehensive, covering various branches of group theory. The 15 chapters contain the following main topics: free groups and presentations, free products, decompositions, Abelian groups, finite permutation groups, representations of groups, finite and infinite soluble groups, group extensions, generalizations of nilpotent and soluble groups, finiteness properties." —-ACTA SCIENTIARUM MATHEMATICARUM

Finite Group Theory

Author: M. Aschbacher

Publisher: Cambridge University Press

ISBN: 9780521786751

Category: Mathematics

Page: 304

View: 4076

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.

Finite Groups

A Second Course on Group Theory

Author: B A F Wehrfritz

Publisher: World Scientific Publishing Company

ISBN: 981310550X

Category: Mathematics

Page: 136

View: 884

The theory of groups, especially of finite groups, is one of the most delightful areas of mathematics, its proofs often having great elegance and beauty. This textbook is intended for the reader who has been exposed to about three years of serious mathematics. The notion of a group appears widely in mathematics and even further afield in physics and chemistry, and the fundamental idea should be known to all mathematicians. In this textbook a purely algebraic approach is taken and the choice of material is based upon the notion of conjugacy. The aim is not only to cover basic material, but also to present group theory as a living, vibrant and growing discipline, by including references and discussion of some work up to the present day. Request Inspection Copy

A Course on Abstract Algebra

Author: Minking Eie,Shou-Te Chang

Publisher: World Scientific

ISBN: 981427190X

Category: Mathematics

Page: 359

View: 5948

This textbook provides an introduction to abstract algebra for advanced undergraduate students. Based on the author's lecture notes at the Department of Mathematics, National Chung Cheng University of Taiwan, it begins with a description of the algebraic structures of the ring and field of rational numbers. Abstract groups are then introduced. Technical results such as Lagrange's Theorem and Sylow's Theorems follow as applications of group theory. Ring theory forms the second part of abstract algebra, with the ring of polynomials and the matrix ring as basic examples. The general theory of ideals as well as maximal ideals in the rings of polynomials over the rational numbers are also discussed. The final part of the book focuses on field theory, field extensions and then Galois theory to illustrate the correspondence between the Galois groups and field extensions. This textbook is more accessible and less ambitious than most existing books covering the same subject. Readers will also find the pedagogical material very useful in enhancing the teaching and learning of abstract algebra.

A course on geometric group theory

Author: Brian Hayward Bowditch

Publisher: Mathematical Society Of Japan Memoirs

ISBN: 9784931469358

Category: Mathematics

Page: 104

View: 8335

This volume is intended as a self-contained introduction to the basic notions of geometric group theory, the main ideas being illustrated with various examples and exercises. One goal is to establish the foundations of the theory of hyperbolic groups. There is a brief discussion of classical hyperbolic geometry, with a view to motivating and illustrating this.The notes are based on a course given by the author at the Tokyo Institute of Technology, intended for fourth year undergraduates and graduate students, and could form the basis of a similar course elsewhere. Many references to more sophisticated material are given, and the work concludes with a discussion of various areas of recent and current research.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

Mach, was Du willst

Design Thinking fürs Leben

Author: Bill Burnett,Dave Evans

Publisher: Ullstein eBooks

ISBN: 3843713634

Category: Self-Help

Page: 288

View: 2115

Design Thinking hilft, kreative Lösungen für komplexe Probleme zu finden. Die Autoren übertragen dieses Prinzip auf das Leben und die Berufswahl. Denke wie ein Designer: Stelle Fragen, suche Verbündete, mache Fehler, baue Prototypen, denke interdisziplinär – und werde zum Designer deines eigenen Lebens! Diese Ideen präsentieren die beiden Professoren seit sieben Jahren an der Stanford University,was zu chronisch überbuchten Kursen führt.

A Course in Finite Group Representation Theory

Author: Peter Webb

Publisher: Cambridge University Press

ISBN: 1107162394

Category: Mathematics

Page: 328

View: 4594

This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.

Lectures on Groups and Vector Spaces for Physicists

Author: C. J. Isham,Chris J. Isham

Publisher: World Scientific

ISBN: 9789971509552

Category: Science

Page: 219

View: 5121

These notes are the contents of a lecture course given to third year physics undergraduates at the Imperial College who are taking the theoretical physics option. The subject of ?Algebra and Groups? is of considerable importance in a number of branches of modern theoretical physics, and therefore one major objective of the course is to introduce the students to the basic ideas on the subject, bearing in mind the potential applications to quantum theory. However, another equally important aim of the course is to introduce the student to the art of genuine ?mathematical? thinking. The notes are therefore written in a more precise mathematical style than is usually the case in courses aimed at physics students. Quite apart from the general educational value of such an exposure to abstract thinking, it is also the case that much modern theoretical physics draws on sophisticated ideas from pure mathematics and therefore it is most important that a perspective graduate student can approach these subjects without experiencing a total culture shock! The course is divided into three parts. The first is a short introduction to general group theory, with particular emphasis being placed on the matrix Lie groups that play such a crucial role in modern theoretical physics. The second part deals with the theory of vector spaces, with particular attention being paid to the theory of Hilbert spaces and the basic analytical techniques that are needed to handle the infinite dimensional situation. The final part of the course is a short introduction to the theory of group representations and the associated theory of characters.

Group Theory and Its Application to Physical Problems

Author: Morton Hamermesh

Publisher: Courier Corporation

ISBN: 9780486661810

Category: Science

Page: 509

View: 3833

"A remarkably intelligible survey . . . well organized, well written and very clear throughout." — Mathematical Reviews This excellent text, long considered one of the best-written, most skillful expositions of group theory and its physical applications, is directed primarily to advanced undergraduate and graduate students in physics, especially quantum physics. No knowledge of group theory is assumed, but the reader is expected to be familiar with quantum mechanics. And while much of the book concerns theory, readers will nevertheless find a large number of physical applications in the fields of crystallography, molecular theory, and atomic and nuclear physics. The first seven chapters of the book are concerned with finite groups, focusing on the central role of the symmetric group. This section concludes with a chapter dealing with the problem of determining group characters, as it discusses Young tableaux, Yamanouchi symbols, and the method of Hund. The remaining five chapters discuss continuous groups, particularly Lie groups, with the final chapter devoted to the ray representation of Lie groups. The author, Professor Emeritus of Physics at the University of Minnesota, has included a generous selection of problems. They are inserted throughout the text at the place where they naturally arise, making the book ideal for self-study as well as for classroom assignment. 77 illustrations. "A very welcome addition to [the] literature. . . . I would warmly recommend the book to all serious students of Group Theory as applied to Physics." — Contemporary Physics. Index. Bibliography. Problems. Tables.

Endliche Gruppen

Eine Einführung in die Theorie der endlichen Gruppen

Author: H. Kurzweil

Publisher: Springer-Verlag

ISBN: 3642953131

Category: Mathematics

Page: 190

View: 6895

Group Theory for Physicists

Author: Zhongqi Ma

Publisher: World Scientific

ISBN: 9812771417

Category: Science

Page: 491

View: 1568

This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Application methods to physics are emphasized. New materials drawn from the teaching and research experience of the author are included. This 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.

The Form of Finite Groups

A Course on Finite Group Theory

Author: Stephen G Odaibo M D

Publisher: Symmetry Seed Books

ISBN: 9780997116304

Category:

Page: 242

View: 6562

Group theory is the language in which our natural world is expressed. Everything from Einstein's theory of relativity to the inner workings of electrons, protons, and quarks are encoded in the language of group theory. This book on finite group theory is a great resource for both undergraduate and graduate students in the Mathematical sciences. It will also be found indispensable by anyone serious about acquiring a fundamental understanding of our physical world.

Liebe und Mathematik

Im Herzen einer verborgenen Wirklichkeit

Author: Edward Frenkel

Publisher: Springer-Verlag

ISBN: 3662434210

Category: Mathematics

Page: 317

View: 1610