[PDF] Abstract Algebra For Beginners eBook

Author : Dan Saracino
Publisher : Waveland Press
Page : 320 pages
File Size : 46,82 MB
Release : 2008-09-02
Category : Mathematics
ISBN : 1478610131

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The Second Edition of this classic text maintains the clear exposition, logical organization, and accessible breadth of coverage that have been its hallmarks. It plunges directly into algebraic structures and incorporates an unusually large number of examples to clarify abstract concepts as they arise. Proofs of theorems do more than just prove the stated results; Saracino examines them so readers gain a better impression of where the proofs come from and why they proceed as they do. Most of the exercises range from easy to moderately difficult and ask for understanding of ideas rather than flashes of insight. The new edition introduces five new sections on field extensions and Galois theory, increasing its versatility by making it appropriate for a two-semester as well as a one-semester course.

Author : Charles C Pinter
Publisher : Courier Corporation
Page : 402 pages
File Size : 26,32 MB
Release : 2010-01-14
Category : Mathematics
ISBN : 0486474178

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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 : Steve Warner
Publisher :
Page : 346 pages
File Size : 49,36 MB
Release : 2019-07-28
Category : Mathematics
ISBN : 9780999811788

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"This book [provides] a basic but rigorous introduction to abstract algebra." --

Author : P. B. Bhattacharya
Publisher : Cambridge University Press
Page : 512 pages
File Size : 13,97 MB
Release : 1994-11-25
Category : Mathematics
ISBN : 9780521466295

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This book provides a complete abstract algebra course, enabling instructors to select the topics for use in individual classes.

Author : Robert B. Ash
Publisher : Courier Corporation
Page : 434 pages
File Size : 47,61 MB
Release : 2013-06-17
Category : Mathematics
ISBN : 0486318117

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Relations between groups and sets, results and methods of abstract algebra in terms of number theory and geometry, and noncommutative and homological algebra. Solutions. 2006 edition.

Author : Thomas Judson
Publisher : Orthogonal Publishing L3c
Page : 0 pages
File Size : 46,52 MB
Release : 2023-08-11
Category :
ISBN : 9781944325190

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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.

Author : W. E. Deskins
Publisher : Courier Corporation
Page : 660 pages
File Size : 37,21 MB
Release : 2012-05-24
Category : Mathematics
ISBN : 0486158462

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Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.

Author : Ėrnest Borisovich Vinberg
Publisher : American Mathematical Soc.
Page : 526 pages
File Size : 29,89 MB
Release : 2003
Category : Mathematics
ISBN : 0821833189

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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.

Author : W. W. Sawyer
Publisher : Courier Dover Publications
Page : 241 pages
File Size : 29,35 MB
Release : 2018-08-15
Category : Mathematics
ISBN : 0486824616

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Brief, clear, and well written, this introductory treatment bridges the gap between traditional and modern algebra. Includes exercises with complete solutions. The only prerequisite is high school-level algebra. 1959 edition.

Author : Anthony W. Knapp
Publisher : Springer Science & Business Media
Page : 762 pages
File Size : 41,96 MB
Release : 2007-07-28
Category : Mathematics
ISBN : 0817645292

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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.