| Springer Nature B.V.

69,980원  | 20230630  | 9783031213083

This textbook focuses on the basics and complex themes of group theory taught to senior undergraduate mathematics students across universities. The contents focus on the properties of groups, subgroups, cyclic groups, permutation groups, cosets and Lagrange's theorem, normal subgroups and factor groups, group homomorphisms and isomorphisms, automorphisms, direct products, group actions and Sylow theorems.

 | Springer Nature B.V.

69,980원  | 20090902  | 9783540821618

Every process in physics is governed by selection rules that are the consequence of symmetry requirements. The beauty and strength of group theory resides in the transformation of many complex symmetry operations into a very simple linear algebra. This concise and class-tested book has been pedagogically tailored over 30 years MIT and 2 years at the University Federal of Minas Gerais (UFMG) in Brazil.

 |

0원  | 20250523  | 9781584886211

Group theory is an important subject that has come a long way in recent years. Introduction to Group Theory presents the fundamentals of both finite and infinite group theory, with a focus on finite groups. It provides students with the ability to prove the Thomas normal p-complement theorem and to classify simple finite groups. A large portion of the text is devoted to general linear groups. Additional topics covered include the construction of BN pairs, Coexeter groups, Hall?Higham theory, and Bender results. The text also offers an in-depth exploration of the complex relationship between groups, coding, and cryptography.

Cvitanovic, Predrag  | Princeton

141,750원  | 20080701  | 9780691118369

If classical Lie groups preserve bilinear vector norms, what Lie groups preserve trilinear, quadrilinear, and higher order invariants? Answering this question from a fresh and original perspective, Predrag Cvitanovic takes the reader on the amazing, four-thousand-diagram journey through the theory of Lie groups. This book is the first to systematically develop, explain, and apply diagrammatic projection operators to construct all semi-simple Lie algebras, both classical and exceptional. The invariant tensors are presented in a somewhat unconventional, but in recent years widely used, "birdtracks" notation inspired by the Feynman diagrams of quantum field theory. Notably, invariant tensor diagrams replace algebraic reasoning in carrying out all group-theoretic computations. The diagrammatic approach is particularly effective in evaluating complicated coefficients and group weights, and revealing symmetries hidden by conventional algebraic or index notations. The book covers most topics needed in applications from this new perspective: permutations, Young projection operators, spinorial representations, Casimir operators, and Dynkin indices. Beyond this well-traveled territory, more exotic vistas open up, such as "negative dimensional" relations between various groups and their representations. The most intriguing result of classifying primitive invariants is the emergence of all exceptional Lie groups in a single family, and the attendant pattern of exceptional and classical Lie groups, the so-called Magic Triangle. Written in a lively and personable style, the book is aimed at researchers and graduate students in theoretical physics and mathematics.

R. Campoamor Strursberg  | World Scientific Publishing Co Pte Ltd

119,000원  | 20200424  | 9789811221279

"The book contains a lot of examples, a lot of non-standard material which is not included in many other books. At the same time the authors manage to avoid numerous cumbersome calculations … It is a great achievement that the authors found a balance."zbMATHThis book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples.

Isaacs, I. Martin  | American Mathematical Society

150,300원  | 20080825  | 9780821843444

The text begins with a review of group actions and Sylow theory. It includes semidirect products, the Schur-Zassenhaus theorem, the theory of commutators, coprime actions on groups, transfer theory, Frobenius groups, primitive and multiply transitive permutation groups, the simplicity of the PSL groups, the generalized Fitting subgroup and also Thompson's J-subgroup and his normal $p$-complement theorem.

Aschbacher, M.  | Cambridge University Press

105,000원  | 20010101  | 9780521786751

Finite Group Theory develops the foundations of the theory of finite groups with an emphasis on the finite simple groups. It can serve as a text for advanced undergraduates or graduate students in mathematics and as a basic reference for research mathematicians.

Rutwig Campoamor-Stursberg, Michel Rausch de Traubenberg  | World Scientific

75,000원  | 20190415  | 9789813273603

This book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples.The first half reviews the algebraic, geometrical and topological notions underlying the theory of Lie groups, with a review of the representation theory of finite groups.

 | Routledge

276,400원  | 19950801  | 9782884490344

The title of this series, Mathematical Chemistry, was chosen to reflect as accurately as possible the proposed contents. The term ‘mathematical chemistry’ was coined in the early 1980s to designate the field that concerns itself with the novel and nontrivial application of mathematics to chemistry.

Scott, W. Richard  | Dover

31,490원  | 19870601  | 9780486653778

Clear, well-organized coverage of most standard theorems: isomorphism theorems, transformations and subgroups, direct sums, abelian groups, etc. Over 500 exercises. Undergraduate-level.

 | CRC Press

414,610원  | 20170727  | 9781138430846

Previous edition: Mathematical groups / Tony Barnard and Hugh Neill (London: Teach Yourself Books, 1996).

 | Springer Nature B.V.

69,980원  | 20230601  | 9789819901487

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.

 | Cambridge Univ Pr

133,000원  | 20190831  | 9781108429474

A valuable text for physicists, covering fundamental concepts of group theory in an easy to understand manner. Concepts are discussed with the help of solved problems and real-life applications.

Rose, J.S.  | Dover Publications

18,580원  | 20120613  | 9780486681948

This textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters summarize presupposed facts, identify important themes, and establish the notation used throughout the book. Subsequent chapters explore the normal and arithmetical structures of groups as well as applications. Topics include the normal structure of groups: subgroups; homomorphisms and quotients; series; direct products and the structure of finitely generated Abelian groups; and group action on groups. Additional subjects range from the arithmetical structure of groups to classical notions of transfer and splitting by means of group action arguments. More than 675 exercises, many accompanied by hints, illustrate and extend the material.

Arad, Zvi (EDT)/ Bianchi, Mariagrazia (EDT)/ Herfo  | Amer Mathematical Society

132,020원  | 20060630  | 9780821837115

Features experts in the theory of finite groups and in representation theory who provide insight into various aspects of group theory, such as the classification of finite simple groups, character theory, groups with special properties, and table algebras.