Abstract Algebra with Applications

Abstract Algebra with Applications PDF Author: Audrey Terras
Publisher: Cambridge University Press
ISBN: 1107164079
Category : Mathematics
Languages : en
Pages : 331

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Book Description
This text offers a friendly and concise introduction to abstract algebra, emphasizing its uses in the modern world.

Abstract Algebra with Applications

Abstract Algebra with Applications PDF Author: Audrey Terras
Publisher: Cambridge University Press
ISBN: 1107164079
Category : Mathematics
Languages : en
Pages : 331

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Book Description
This text offers a friendly and concise introduction to abstract algebra, emphasizing its uses in the modern world.

Abstract Algebra

Abstract Algebra PDF Author: Thomas Judson
Publisher: Orthogonal Publishing L3c
ISBN: 9781944325190
Category :
Languages : en
Pages : 0

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Book Description
Abstract Algebra: Theory and Applications is an open-source textbook 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 non-trivial 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.

Abstract Algebra with Applications

Abstract Algebra with Applications PDF Author: Norman J. Bloch
Publisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 456

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Book Description


Abstract Algebra

Abstract Algebra PDF Author: Derek J.S. Robinson
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110340879
Category : Mathematics
Languages : en
Pages : 348

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Book Description
This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems and error correcting codes are described. Another feature of the book is that group theory and ring theory are carried further than is often done at this level. There is ample material here for a two semester course in abstract algebra. The importance of proof is stressed and rigorous proofs of almost all results are given. But care has been taken to lead the reader through the proofs by gentle stages. There are nearly 400 problems, of varying degrees of difficulty, to test the reader's skill and progress. The book should be suitable for students in the third or fourth year of study at a North American university or in the second or third year at a university in Europe, and should ease the transition to (post)graduate studies.

A Book of Abstract Algebra

A Book of Abstract Algebra PDF Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486474178
Category : Mathematics
Languages : en
Pages : 402

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Book Description
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

Abstract Algebra

Abstract Algebra PDF Author: Stephen Lovett
Publisher: CRC Press
ISBN: 1482248913
Category : Mathematics
Languages : en
Pages : 717

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Book Description
A Discovery-Based Approach to Learning about Algebraic StructuresAbstract Algebra: Structures and Applications helps students understand the abstraction of modern algebra. It emphasizes the more general concept of an algebraic structure while simultaneously covering applications. The text can be used in a variety of courses, from a one-semester int

Abstract Algebra with Applications

Abstract Algebra with Applications PDF Author: Karlheinz Spindler
Publisher: CRC Press
ISBN: 1351469274
Category : Mathematics
Languages : en
Pages : 780

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Book Description
A comprehensive presentation of abstract algebra and an in-depth treatment of the applications of algebraic techniques and the relationship of algebra to other disciplines, such as number theory, combinatorics, geometry, topology, differential equations, and Markov chains.

Abstract Algebra

Abstract Algebra PDF Author: Celine Carstensen-Opitz
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110603993
Category : Mathematics
Languages : en
Pages : 422

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Book Description
A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theoretical foundations and it also includes a chapter on cryptography. End of chapter problems help readers with accessing the subjects.

A Course in Algebra

A Course in Algebra PDF Author: Ä–rnest Borisovich Vinberg
Publisher: American Mathematical Soc.
ISBN: 0821833189
Category : Mathematics
Languages : en
Pages : 526

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Book Description
Great book! The author's teaching experinece shows in every chapter. --Efim Zelmanov, University of California, San Diego Vinberg has written an algebra book that is excellent, both as a classroom text or for self-study. It is plain that years of teaching abstract algebra have enabled him to say the right thing at the right time. --Irving Kaplansky, MSRI This is a comprehensive text on modern algebra written for advanced undergraduate and basic graduate algebra classes. The book is based on courses taught by the author at the Mechanics and Mathematics Department of Moscow State University and at the Mathematical College of the Independent University of Moscow. The unique feature of the book is that it contains almost no technically difficult proofs. Following his point of view on mathematics, the author tried, whenever possible, to replace calculations and difficult deductions with conceptual proofs and to associate geometric images to algebraic objects. Another important feature is that the book presents most of the topics on several levels, allowing the student to move smoothly from initial acquaintance to thorough study and deeper understanding of the subject. Presented are basic topics in algebra such as algebraic structures, linear algebra, polynomials, groups, as well as more advanced topics like affine and projective spaces, tensor algebra, Galois theory, Lie groups, associative algebras and their representations. Some applications of linear algebra and group theory to physics are discussed. Written with extreme care and supplied with more than 200 exercises and 70 figures, the book is also an excellent text for independent study.

An Introduction to Abstract Algebra

An Introduction to Abstract Algebra PDF Author: Derek J.S. Robinson
Publisher: Walter de Gruyter
ISBN: 3110198169
Category :
Languages : en
Pages : 293

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Book Description
This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems and error correcting codes are described. Another feature of the book is that group theory and ring theory are carried further than is often done at this level. There is ample material here for a two semester course in abstract algebra. The importance of proof is stressed and rigorous proofs of almost all results are given. But care has been taken to lead the reader through the proofs by gentle stages. There are nearly 400 problems, of varying degrees of difficulty, to test the reader's skill and progress. The book should be suitable for students in the third or fourth year of study at a North American university or in the second or third year at a university in Europe.