Classic Algebra PDF Download
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Author: P. M. Cohn
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 456
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Book Description
Fundamental to all areas of mathematics, algebra provides the cornerstone for the student?s development. The concepts are often intuitive, but some can take years of study to absorb fully. For over twenty years, the author?s classic three-volume set, Algebra, has been regarded by many as the most outstanding introductory work available. This work, Classic Algebra, combines a fully updated Volume 1 with the essential topics from Volumes 2 and 3, and provides a self-contained introduction to the subject. In addition to the basic concepts, advanced material is introduced, giving the reader an insight into more advanced algebraic topics. The clear presentation style gives this book the edge over others on the subject. Undergraduates studying first courses in algebra will benefit from the clear exposition and perfect balance of theory, examples and exercises. The book provides a good basis for those studying more advanced algebra courses. Complete and rigorous coverage of the important basic concepts Topics covered include sets, mappings, groups, matrices, vector spaces, fields, rings and modules Written in a lucid style, with each concept carefully explained Introduces more advanced topics and suggestions for further reading Contains over 800 exercises, including many solutions "There is no better textbook on algebra than the volumes by Cohn." - Walter Benz, Universität Hamburg, Germany
Author: P. M. Cohn
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 456
Get Book Here
Book Description
Fundamental to all areas of mathematics, algebra provides the cornerstone for the student?s development. The concepts are often intuitive, but some can take years of study to absorb fully. For over twenty years, the author?s classic three-volume set, Algebra, has been regarded by many as the most outstanding introductory work available. This work, Classic Algebra, combines a fully updated Volume 1 with the essential topics from Volumes 2 and 3, and provides a self-contained introduction to the subject. In addition to the basic concepts, advanced material is introduced, giving the reader an insight into more advanced algebraic topics. The clear presentation style gives this book the edge over others on the subject. Undergraduates studying first courses in algebra will benefit from the clear exposition and perfect balance of theory, examples and exercises. The book provides a good basis for those studying more advanced algebra courses. Complete and rigorous coverage of the important basic concepts Topics covered include sets, mappings, groups, matrices, vector spaces, fields, rings and modules Written in a lucid style, with each concept carefully explained Introduces more advanced topics and suggestions for further reading Contains over 800 exercises, including many solutions "There is no better textbook on algebra than the volumes by Cohn." - Walter Benz, Universität Hamburg, Germany
Author: Larry C. Grove
Publisher: John Wiley & Sons
ISBN: 1118030931
Category : Mathematics
Languages : en
Pages : 228
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Book Description
An authoritative, full-year course on both group theory and ordinary character theory--essential tools for mathematics and the physical sciences One of the few treatments available combining both group theory and character theory, Groups and Characters is an effective general textbook on these two fundamentally connected subjects. Presuming only a basic knowledge of abstract algebra as in a first-year graduate course, the text opens with a review of background material and then guides readers carefully through several of the most important aspects of groups and characters, concentrating mainly on finite groups. Challenging yet accessible, Groups and Characters features: * An extensive collection of examples surveying many different types of groups, including Sylow subgroups of symmetric groups, affine groups of fields, the Mathieu groups, and symplectic groups * A thorough, easy-to-follow discussion of Polya-Redfield enumeration, with applications to combinatorics * Inclusive explorations of the transfer function and normal complements, induction and restriction of characters, Clifford theory, characters of symmetric and alternating groups, Frobenius groups, and the Schur index * Illuminating accounts of several computational aspects of group theory, such as the Schreier-Sims algorithm, Todd-Coxeter coset enumeration, and algorithms for generating character tables As valuable as Groups and Characters will prove as a textbook for mathematicians, it has broader applications. With chapters suitable for use as independent review units, along with a full bibliography and index, it will be a dependable general reference for chemists, physicists, and crystallographers.
Author: Michael Artin
Publisher: Pearson
ISBN: 9781292027661
Category : Algebra
Languages : en
Pages : 486
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Book Description
Algebra, Second Edition, by Michael Artin, is ideal for the honors undergraduate or introductory graduate course. The second edition of this classic text incorporates twenty years of feedback and the author's own teaching experience. The text discusses concrete topics of algebra in greater detail than most texts, preparing students for the more abstract concepts; linear algebra is tightly integrated throughout.
Author: I. N. Herstein
Publisher: Macmillan College
ISBN:
Category : Mathematics
Languages : en
Pages : 322
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Book Description
Author: William James Milne
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 620
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Book Description
Author: D. B. Fuks
Publisher: American Mathematical Soc.
ISBN: 0821843168
Category : Mathematics
Languages : en
Pages : 482
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Book Description
The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.
Author: Ronald Calinger
Publisher: Pearson
ISBN:
Category : Mathematics
Languages : en
Pages : 824
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Book Description
Appropriate for undergraduate and select graduate courses in the history of mathematics, and in the history of science. This edited volume of readings contains more than 130 selections from eminent mathematicians from A `h-mose' to Hilbert and Noether. The chapter introductions comprise a concise history of mathematics based on critical textual analysis and the latest scholarship. Each reading is preceded by a substantial biography of its author.
Author: Nathan Jacobson
Publisher: Courier Corporation
ISBN: 0486135225
Category : Mathematics
Languages : en
Pages : 530
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Book Description
A classic text and standard reference for a generation, this volume covers all undergraduate algebra topics, including groups, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. 1985 edition.
Author: Paulo Ribenboim
Publisher: Springer Science & Business Media
ISBN: 0387216901
Category : Mathematics
Languages : en
Pages : 676
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Book Description
The exposition of the classical theory of algebraic numbers is clear and thorough, and there is a large number of exercises as well as worked out numerical examples. A careful study of this book will provide a solid background to the learning of more recent topics.
Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817645292
Category : Mathematics
Languages : en
Pages : 762
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Book Description
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems.
