Undergraduate Algebra

Author : Serge Lang
Publisher : Springer Science & Business Media
ISBN 13 : 1475768982
Total Pages : 380 pages
Book Rating : 4.85/5 ( download)

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Download or read book Undergraduate Algebra written by Serge Lang and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The companion title, Linear Algebra, has sold over 8,000 copies The writing style is very accessible The material can be covered easily in a one-year or one-term course Includes Noah Snyder's proof of the Mason-Stothers polynomial abc theorem New material included on product structure for matrices including descriptions of the conjugation representation of the diagonal group

Author : Matej Brešar
Publisher : Springer
ISBN 13 : 9783030140526
Total Pages : 316 pages
Book Rating : 4.20/5 ( download)

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Download or read book Undergraduate Algebra written by Matej Brešar and published by Springer. This book was released on 2019-05-20 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers an innovative approach to abstract algebra, based on a unified treatment of similar concepts across different algebraic structures. This makes it possible to express the main ideas of algebra more clearly and to avoid unnecessary repetition. The book consists of two parts: The Language of Algebra and Algebra in Action. The unified approach to different algebraic structures is a primary feature of the first part, which discusses the basic notions of algebra at an elementary level. The second part is mathematically more complex, covering topics such as the Sylow theorems, modules over principal ideal domains, and Galois theory. Intended for an undergraduate course or for self-study, the book is written in a readable, conversational style, is rich in examples, and contains over 700 carefully selected exercises.

Author : Miles Reid
Publisher : Cambridge University Press
ISBN 13 : 9780521458894
Total Pages : 172 pages
Book Rating : 4.97/5 ( download)

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Download or read book Undergraduate Commutative Algebra written by Miles Reid and published by Cambridge University Press. This book was released on 1995-11-30 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutative algebra is at the crossroads of algebra, number theory and algebraic geometry. This textbook is affordable and clearly illustrated, and is intended for advanced undergraduate or beginning graduate students with some previous experience of rings and fields. Alongside standard algebraic notions such as generators of modules and the ascending chain condition, the book develops in detail the geometric view of a commutative ring as the ring of functions on a space. The starting point is the Nullstellensatz, which provides a close link between the geometry of a variety V and the algebra of its coordinate ring A=k[V]; however, many of the geometric ideas arising from varieties apply also to fairly general rings. The final chapter relates the material of the book to more advanced topics in commutative algebra and algebraic geometry. It includes an account of some famous 'pathological' examples of Akizuki and Nagata, and a brief but thought-provoking essay on the changing position of abstract algebra in today's world.

Author : Charles C Pinter
Publisher : Courier Corporation
ISBN 13 : 0486474178
Total Pages : 402 pages
Book Rating : 4.75/5 ( download)

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Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : A. P. Hillman
Publisher : CBS Publishers & Distributors Pvt Limited, India
ISBN 13 : 9788123926575
Total Pages : pages
Book Rating : 4.7X/5 ( download)

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Download or read book Abstract Algebra written by A. P. Hillman and published by CBS Publishers & Distributors Pvt Limited, India. This book was released on 2015-03-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author :
Publisher :
ISBN 13 :
Total Pages : 866 pages
Book Rating : 4.98/5 ( download)

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Download or read book Algebra written by and published by . This book was released on 1993 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : David R. Finston
Publisher : Springer
ISBN 13 : 3319044982
Total Pages : 194 pages
Book Rating : 4.89/5 ( download)

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Download or read book Abstract Algebra written by David R. Finston and published by Springer. This book was released on 2014-08-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application. The down-to-earth presentation is accessible to a readership with no prior knowledge of abstract algebra. Students are led to algebraic concepts and questions in a natural way through their everyday experiences. Applications include: Identification numbers and modular arithmetic (linear) error-correcting codes, including cyclic codes ruler and compass constructions cryptography symmetry of patterns in the real plane Abstract Algebra: Structure and Application is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics, mathematics education, computer science, and engineering interested in applications of algebraic concepts.

Author : Antoine Chambert-Loir
Publisher : Springer Science & Business Media
ISBN 13 : 038726955X
Total Pages : 199 pages
Book Rating : 4.59/5 ( download)

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Download or read book A Field Guide to Algebra written by Antoine Chambert-Loir and published by Springer Science & Business Media. This book was released on 2007-12-21 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has a nonstandard choice of topics, including material on differential galois groups and proofs of the transcendence of e and pi. The author uses a conversational tone and has included a selection of stamps to accompany the text.

Author : Shahriar Shahriar
Publisher : American Mathematical Soc.
ISBN 13 : 1470428490
Total Pages : 675 pages
Book Rating : 4.95/5 ( download)

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Download or read book Algebra in Action: A Course in Groups, Rings, and Fields written by Shahriar Shahriar and published by American Mathematical Soc.. This book was released on 2017-08-16 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text—based on the author's popular courses at Pomona College—provides a readable, student-friendly, and somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior undergraduates who are seeing the material for the first time. In addition to the usual definitions and theorems, there is ample discussion to help students build intuition and learn how to think about the abstract concepts. The book has over 1300 exercises and mini-projects of varying degrees of difficulty, and, to facilitate active learning and self-study, hints and short answers for many of the problems are provided. There are full solutions to over 100 problems in order to augment the text and to model the writing of solutions. Lattice diagrams are used throughout to visually demonstrate results and proof techniques. The book covers groups, rings, and fields. In group theory, group actions are the unifying theme and are introduced early. Ring theory is motivated by what is needed for solving Diophantine equations, and, in field theory, Galois theory and the solvability of polynomials take center stage. In each area, the text goes deep enough to demonstrate the power of abstract thinking and to convince the reader that the subject is full of unexpected results.

Author : Rudolf Lidl
Publisher : Springer Science & Business Media
ISBN 13 : 1475729413
Total Pages : 500 pages
Book Rating : 4.12/5 ( download)

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Download or read book Applied Abstract Algebra written by Rudolf Lidl and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible to junior and senior undergraduate students, this survey contains many examples, solved exercises, sets of problems, and parts of abstract algebra of use in many other areas of discrete mathematics. Although this is a mathematics book, the authors have made great efforts to address the needs of users employing the techniques discussed. Fully worked out computational examples are backed by more than 500 exercises throughout the 40 sections. This new edition includes a new chapter on cryptology, and an enlarged chapter on applications of groups, while an extensive chapter has been added to survey other applications not included in the first edition. The book assumes knowledge of the material covered in a course on linear algebra and, preferably, a first course in (abstract) algebra covering the basics of groups, rings, and fields.