Introduction To Group Theory With Applications

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Introduction to Group Theory with Applications

Author : Gerald Burns
Publisher : Academic Press
ISBN 13 : 1483191494
Total Pages : 446 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Introduction to Group Theory with Applications by : Gerald Burns

Download or read book Introduction to Group Theory with Applications written by Gerald Burns and published by Academic Press. This book was released on 2014-05-10 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Group Theory with Applications covers the basic principles, concepts, mathematical proofs, and applications of group theory. This book is divided into 13 chapters and begins with discussions of the elementary topics related to the subject, including symmetry operations and group concepts. The succeeding chapters deal with the properties of matrix representations of finite groups, the vibrations of molecular and crystals, vibrational wave function, selection rules, and molecular approximations. These topics are followed by reviews of the basic of quantum mechanics, crystal field theory, atomic physics, hybrid functions, and molecular orbital theory. The last chapters describe the symmetry of crystal lattices, the band theory of solids, and the full rotation group. This book will be of value to undergraduate mathematics and physics students.

Symmetry

Author : R. McWeeny
Publisher : Elsevier
ISBN 13 : 1483226247
Total Pages : 263 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Symmetry by : R. McWeeny

Download or read book Symmetry written by R. McWeeny and published by Elsevier. This book was released on 2013-09-03 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry: An Introduction to Group Theory and its Application is an eight-chapter text that covers the fundamental bases, the development of the theoretical and experimental aspects of the group theory. Chapter 1 deals with the elementary concepts and definitions, while Chapter 2 provides the necessary theory of vector spaces. Chapters 3 and 4 are devoted to an opportunity of actually working with groups and representations until the ideas already introduced are fully assimilated. Chapter 5 looks into the more formal theory of irreducible representations, while Chapter 6 is concerned largely with quadratic forms, illustrated by applications to crystal properties and to molecular vibrations. Chapter 7 surveys the symmetry properties of functions, with special emphasis on the eigenvalue equation in quantum mechanics. Chapter 8 covers more advanced applications, including the detailed analysis of tensor properties and tensor operators. This book is of great value to mathematicians, and math teachers and students.

Group Theory

Author : Mildred S. Dresselhaus
Publisher : Springer Science & Business Media
ISBN 13 : 3540328998
Total Pages : 576 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Group Theory by : Mildred S. Dresselhaus

Download or read book Group Theory written by Mildred S. Dresselhaus and published by Springer Science & Business Media. This book was released on 2007-12-18 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Visual Group Theory

Author : Nathan Carter
Publisher : American Mathematical Soc.
ISBN 13 : 1470464330
Total Pages : 295 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Visual Group Theory by : Nathan Carter

Download or read book Visual Group Theory written by Nathan Carter and published by American Mathematical Soc.. This book was released on 2021-06-08 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! 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.

Group Theory and Its Application to Physical Problems

Author : M. Hamermesh
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (841 download)

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Book Synopsis Group Theory and Its Application to Physical Problems by : M. Hamermesh

Download or read book Group Theory and Its Application to Physical Problems written by M. Hamermesh and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Molecular Symmetry and Group Theory

Author : Alan Vincent
Publisher : John Wiley & Sons
ISBN 13 : 1118723384
Total Pages : 224 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Molecular Symmetry and Group Theory by : Alan Vincent

Download or read book Molecular Symmetry and Group Theory written by Alan Vincent and published by John Wiley & Sons. This book was released on 2013-06-05 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This substantially revised and expanded new edition of the bestselling textbook, addresses the difficulties that can arise with the mathematics that underpins the study of symmetry, and acknowledges that group theory can be a complex concept for students to grasp. Written in a clear, concise manner, the author introduces a series of programmes that help students learn at their own pace and enable to them understand the subject fully. Readers are taken through a series of carefully constructed exercises, designed to simplify the mathematics and give them a full understanding of how this relates to the chemistry. This second edition contains a new chapter on the projection operator method. This is used to calculate the form of the normal modes of vibration of a molecule and the normalised wave functions of hybrid orbitals or molecular orbitals. The features of this book include: * A concise, gentle introduction to symmetry and group theory * Takes a programmed learning approach * New material on projection operators, and the calcultaion of normal modes of vibration and normalised wave functions of orbitals This book is suitable for all students of chemistry taking a first course in symmetry and group theory.

Introductory Group Theory

Author : John R. Ferraro
Publisher : Springer Science & Business Media
ISBN 13 : 1461548217
Total Pages : 235 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Introductory Group Theory by : John R. Ferraro

Download or read book Introductory Group Theory written by John R. Ferraro and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a consequence of a series of seminars presented by the authors at the Infrared Spectroscopy Institute, Canisius College, Buffalo, New York, over the last nine years. Many participants on an intermediate level lacked a sufficient background in mathematics and quantum mechan ics, and it became evident that a non mathematical or nearly nonmathe matical approach would be necessary. The lectures were designed to fill this need and proved very successful. As a result of the interest that was developed in this approach, it was decided to write this book. The text is intended for scientists and students with only limited theore tical background in spectroscopy, but who are sincerely interested in the interpretation of molecular spectra. The book develops the detailed selection rules for fundamentals, combinations, and overtones for molecules in several point groups. Detailed procedures used in carrying out the normal coordinate treatment for several molecules are also presented. Numerous examples from the literature illustrate the use of group theory in the in terpretation of molecular spectra and in the determination of molecular structure.

Geometric Group Theory

Author : Clara Löh
Publisher : Springer
ISBN 13 : 3319722549
Total Pages : 390 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Geometric Group Theory by : Clara Löh

Download or read book Geometric Group Theory written by Clara Löh and published by Springer. This book was released on 2017-12-19 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory. This carefully written textbook provides a rigorous introduction to this rapidly evolving field whose methods have proven to be powerful tools in neighbouring fields such as geometric topology. Geometric group theory is the study of finitely generated groups via the geometry of their associated Cayley graphs. It turns out that the essence of the geometry of such groups is captured in the key notion of quasi-isometry, a large-scale version of isometry whose invariants include growth types, curvature conditions, boundary constructions, and amenability. This book covers the foundations of quasi-geometry of groups at an advanced undergraduate level. The subject is illustrated by many elementary examples, outlooks on applications, as well as an extensive collection of exercises.

Group Theory and Chemistry

Author : David M. Bishop
Publisher : Courier Corporation
ISBN 13 : 0486132323
Total Pages : 322 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Group Theory and Chemistry by : David M. Bishop

Download or read book Group Theory and Chemistry written by David M. Bishop and published by Courier Corporation. This book was released on 2012-07-12 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise, self-contained introduction to group theory and its applications to chemical problems. Symmetry, matrices, molecular vibrations, transition metal chemistry, more. Relevant math included. Advanced-undergraduate/graduate-level. 1973 edition.

Group Theory in a Nutshell for Physicists

Author : A. Zee
Publisher : Princeton University Press
ISBN 13 : 1400881188
Total Pages : 632 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Group Theory in a Nutshell for Physicists by : A. Zee

Download or read book Group Theory in a Nutshell for Physicists written by A. Zee and published by Princeton University Press. This book was released on 2016-03-29 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise, modern textbook on group theory written especially for physicists Although group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed matter physics, particle physics to string theory. In particular, it is essential for an understanding of the fundamental forces. Yet until now, what has been missing is a modern, accessible, and self-contained textbook on the subject written especially for physicists. Group Theory in a Nutshell for Physicists fills this gap, providing a user-friendly and classroom-tested text that focuses on those aspects of group theory physicists most need to know. From the basic intuitive notion of a group, A. Zee takes readers all the way up to how theories based on gauge groups could unify three of the four fundamental forces. He also includes a concise review of the linear algebra needed for group theory, making the book ideal for self-study. Provides physicists with a modern and accessible introduction to group theory Covers applications to various areas of physics, including field theory, particle physics, relativity, and much more Topics include finite group and character tables; real, pseudoreal, and complex representations; Weyl, Dirac, and Majorana equations; the expanding universe and group theory; grand unification; and much more The essential textbook for students and an invaluable resource for researchers Features a brief, self-contained treatment of linear algebra An online illustration package is available to professors Solutions manual (available only to professors)

Group Theory For Physicists (Second Edition)

Author : Zhong-qi Ma
Publisher : World Scientific
ISBN 13 : 9813277408
Total Pages : 656 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Group Theory For Physicists (Second Edition) by : Zhong-qi Ma

Download or read book Group Theory For Physicists (Second Edition) written by Zhong-qi Ma and published by World Scientific. This book was released on 2019-07-15 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Calculation methods in the context of physics are emphasized. New materials drawn from the teaching and research experience of the author are included. The generalized Gel'fand's method is presented to calculate the matrices of irreducible representations of the simple Lie algebra and its Clebsch-Gordan coefficients. This book is for graduate students and young researchers in physics, especially theoretical physics. It is also for graduate students in theoretical chemistry.

Group Theory in Physics

Author : John F. Cornwell
Publisher : Academic Press
ISBN 13 : 0080532667
Total Pages : 361 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Group Theory in Physics by : John F. Cornwell

Download or read book Group Theory in Physics written by John F. Cornwell and published by Academic Press. This book was released on 1997-07-11 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, an abridgment of Volumes I and II of the highly respected Group Theory in Physics, presents a carefully constructed introduction to group theory and its applications in physics. The book provides anintroduction to and description of the most important basic ideas and the role that they play in physical problems. The clearly written text contains many pertinent examples that illustrate the topics, even for those with no background in group theory.This work presents important mathematical developments to theoretical physicists in a form that is easy to comprehend and appreciate. Finite groups, Lie groups, Lie algebras, semi-simple Lie algebras, crystallographic point groups and crystallographic space groups, electronic energy bands in solids, atomic physics, symmetry schemes for fundamental particles, and quantum mechanics are all covered in this compact new edition. Covers both group theory and the theory of Lie algebras Includes studies of solid state physics, atomic physics, and fundamental particle physics Contains a comprehensive index Provides extensive examples

A Gentle Introduction to Group Theory

Author : Bana Al Subaiei
Publisher : Springer Nature
ISBN 13 : 9819901472
Total Pages : 429 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis A Gentle Introduction to Group Theory by : Bana Al Subaiei

Download or read book A Gentle Introduction to Group Theory written by Bana Al Subaiei and published by Springer Nature. This book was released on 2023-05-31 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended to serve as an introductory course in group theory geared towards second-year university students. It aims to provide them with the background needed to pursue more advanced courses in algebra and to provide a rich source of examples and exercises. Studying group theory began in the late eighteenth century and is still gaining importance due to its applications in physics, chemistry, geometry, and many fields in mathematics. The text is broadly divided into three parts. The first part establishes the prerequisite knowledge required to study group theory. This includes topics in set theory, geometry, and number theory. Each of the chapters ends with solved and unsolved exercises relating to the topic. By doing this, the authors hope to fill the gaps between all the branches in mathematics that are linked to group theory. The second part is the core of the book which discusses topics on semigroups, groups, symmetric groups, subgroups, homomorphisms, isomorphism, and Abelian groups. The last part of the book introduces SAGE, a mathematical software that is used to solve group theory problems. Here, most of the important commands in SAGE are explained, and many examples and exercises are provided.

Group Theory

Author : W. R. Scott
Publisher : Courier Corporation
ISBN 13 : 0486653773
Total Pages : 516 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Group Theory by : W. R. Scott

Download or read book Group Theory written by W. R. Scott and published by Courier Corporation. This book was released on 1987-01-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a clear, well-organized coverage of the most standard theorems, including isomorphism theorems, transformations and subgroups, direct sums, abelian groups, and more. This undergraduate-level text features more than 500 exercises.

An Introduction to the Theory of Groups

Author : Paul Alexandroff
Publisher : Courier Corporation
ISBN 13 : 0486488136
Total Pages : 130 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis An Introduction to the Theory of Groups by : Paul Alexandroff

Download or read book An Introduction to the Theory of Groups written by Paul Alexandroff and published by Courier Corporation. This book was released on 2012-01-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: " This introductory exposition of group theory by an eminent Russian mathematician is particularly suited to undergraduates, developing material of fundamental importance in a clear and rigorous fashion. A wealth of simple examples, primarily geometrical, illustrate the primary concepts. Exercises at the end of each chapter provide additional reinforcement. 1959 edition"--

Applications of the Theory of Groups in Mechanics and Physics

Author : Petre P. Teodorescu
Publisher : Springer Science & Business Media
ISBN 13 : 9781402020469
Total Pages : 466 pages
Book Rating : 4.0/5 (24 download)

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Book Synopsis Applications of the Theory of Groups in Mechanics and Physics by : Petre P. Teodorescu

Download or read book Applications of the Theory of Groups in Mechanics and Physics written by Petre P. Teodorescu and published by Springer Science & Business Media. This book was released on 2004-04-30 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quantum mechanics, theory of elementary particles, etc. This notion has developed during a century and this development is connected with the names of great mathematicians as E. Galois, A. L. Cauchy, C. F. Gauss, W. R. Hamilton, C. Jordan, S. Lie, E. Cartan, H. Weyl, E. Wigner, and of many others. In mathematics, as in other sciences, the simple and fertile ideas make their way with difficulty and slowly; however, this long history would have been of a minor interest, had the notion of group remained connected only with rather restricted domains of mathematics, those in which it occurred at the beginning. But at present, groups have invaded almost all mathematical disciplines, mechanics, the largest part of physics, of chemistry, etc. We may say, without exaggeration, that this is the most important idea that occurred in mathematics since the invention of infinitesimal calculus; indeed, the notion of group expresses, in a precise and operational form, the vague and universal ideas of regularity and symmetry. The notion of group led to a profound understanding of the character of the laws which govern natural phenomena, permitting to formulate new laws, correcting certain inadequate formulations and providing unitary and non contradictory formulations for the investigated phenomena.

Abstract Algebra

Author : Tom Judson
Publisher : Orthogonal Publishing L3c
ISBN 13 : 9780989897501
Total Pages : 399 pages
Book Rating : 4.8/5 (975 download)

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Book Synopsis Abstract Algebra by : Tom Judson

Download or read book Abstract Algebra written by Tom Judson and published by Orthogonal Publishing L3c. This book was released on 2013-08-01 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract Algebra: Theory and Applications is an open-source textbook written by Tom Judson that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many nontrivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second-half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.