Abstract Algebra

Author : Charles C Pinter
Publisher : Courier Corporation
Page : 402 pages
File Size : 40,8 Mb
Release : 2010-01-14
Category : Mathematics
ISBN : 9780486474175

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A Book of Abstract Algebra by Charles C Pinter Pdf

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 : Thomas Judson
Publisher : Orthogonal Publishing L3c
Page : 0 pages
File Size : 41,7 Mb
Release : 2023-08-11
Category : Electronic
ISBN : 1944325190

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Abstract Algebra by Thomas Judson Pdf

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 : Dan Saracino
Publisher : Waveland Press
Page : 320 pages
File Size : 44,6 Mb
Release : 2008-09-02
Category : Mathematics
ISBN : 9781478610137

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Abstract Algebra by Dan Saracino Pdf

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 : Shaoqiang Deng,Fuhai Zhu
Publisher : World Scientific
Page : 304 pages
File Size : 41,8 Mb
Release : 2023-11-17
Category : Mathematics
ISBN : 9789811277689

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Abstract Algebra by Shaoqiang Deng,Fuhai Zhu Pdf

This book is translated from the Chinese version published by Science Press, Beijing, China, in 2017. It was written for the Chern class in mathematics of Nankai University and has been used as the textbook for the course Abstract Algebra for this class for more than five years. It has also been adapted in abstract algebra courses in several other distinguished universities across China.The aim of this book is to introduce the fundamental theories of groups, rings, modules, and fields, and help readers set up a solid foundation for algebra theory. The topics of this book are carefully selected and clearly presented. This is an excellent mathematical exposition, well-suited as an advanced undergraduate textbook or for independent study. The book includes many new and concise proofs of classical theorems, along with plenty of basic as well as challenging exercises.

Author : Paolo Aluffi
Publisher : American Mathematical Soc.
Page : 713 pages
File Size : 43,9 Mb
Release : 2021-11-09
Category : Education
ISBN : 9781470465711

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Algebra: Chapter 0 by Paolo Aluffi Pdf

Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.

Author : Allan Clark
Publisher : Courier Corporation
Page : 224 pages
File Size : 42,5 Mb
Release : 2012-07-06
Category : Mathematics
ISBN : 9780486140353

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Elements of Abstract Algebra by Allan Clark Pdf

Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.

Author : W. E. Deskins
Publisher : Courier Corporation
Page : 656 pages
File Size : 46,5 Mb
Release : 2012-05-24
Category : Mathematics
ISBN : 9780486158464

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Abstract Algebra by W. E. Deskins Pdf

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 : I. N. Herstein
Publisher : Macmillan College
Page : 322 pages
File Size : 47,9 Mb
Release : 1990
Category : Mathematics
ISBN : UOM:39015049346839

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Abstract Algebra by I. N. Herstein Pdf

Author : A. R. Wadsworth
Publisher : American Mathematical Soc.
Page : 277 pages
File Size : 53,7 Mb
Release : 2017-05-10
Category : Algebra, Abstract
ISBN : 9781470435837

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Problems in Abstract Algebra by A. R. Wadsworth Pdf

This is a book of problems in abstract algebra for strong undergraduates or beginning graduate students. It can be used as a supplement to a course or for self-study. The book provides more variety and more challenging problems than are found in most algebra textbooks. It is intended for students wanting to enrich their learning of mathematics by tackling problems that take some thought and effort to solve. The book contains problems on groups (including the Sylow Theorems, solvable groups, presentation of groups by generators and relations, and structure and duality for finite abelian groups); rings (including basic ideal theory and factorization in integral domains and Gauss's Theorem); linear algebra (emphasizing linear transformations, including canonical forms); and fields (including Galois theory). Hints to many problems are also included.

Author : Joseph J. Rotman
Publisher : American Mathematical Society
Page : 570 pages
File Size : 44,7 Mb
Release : 2023-02-22
Category : Mathematics
ISBN : 9781470472757

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Advanced Modern Algebra by Joseph J. Rotman Pdf

This book is the second part of the new edition of Advanced Modern Algebra (the first part published as Graduate Studies in Mathematics, Volume 165). Compared to the previous edition, the material has been significantly reorganized and many sections have been rewritten. The book presents many topics mentioned in the first part in greater depth and in more detail. The five chapters of the book are devoted to group theory, representation theory, homological algebra, categories, and commutative algebra, respectively. The book can be used as a text for a second abstract algebra graduate course, as a source of additional material to a first abstract algebra graduate course, or for self-study.

Author : Serge Lang
Publisher : Springer Science & Business Media
Page : 380 pages
File Size : 43,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475768985

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Undergraduate Algebra by Serge Lang Pdf

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 : John W. Lawrence,Frank A. Zorzitto
Publisher : Cambridge University Press
Page : 639 pages
File Size : 47,7 Mb
Release : 2021-04-15
Category : Mathematics
ISBN : 9781108836654

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An Introduction to Abstract Algebra by John W. Lawrence,Frank A. Zorzitto Pdf

A lucid guide to abstract algebra, this comprehensive textbook provides in depth coverage for upper undergraduate students.

Author : Charles Lanski
Publisher : American Mathematical Soc.
Page : 564 pages
File Size : 52,6 Mb
Release : 2024-05-22
Category : Mathematics
ISBN : 0821874284

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Concepts in Abstract Algebra by Charles Lanski Pdf

The style and structure of CONCEPTS IN ABSTRACT ALGEBRA is designed to help students learn the core concepts and associated techniques in algebra deeply and well. Providing a fuller and richer account of material than time allows in a lecture, this text presents interesting examples of sufficient complexity so that students can see the concepts and results used in a nontrivial setting. Author Charles Lanski gives students the opportunity to practice by offering many exercises that require the use and synthesis of the techniques and results. Both readable and mathematically interesting, the text also helps students learn the art of constructing mathematical arguments. Overall, students discover how mathematics proceeds and how to use techniques that mathematicians actually employ. This book is included in the Brooks/Cole Series in Advanced Mathematics (Series Editor: Paul Sally, Jr.).

Author : Israel Kleiner
Publisher : Springer Science & Business Media
Page : 175 pages
File Size : 40,5 Mb
Release : 2007-10-02
Category : Mathematics
ISBN : 9780817646844

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A History of Abstract Algebra by Israel Kleiner Pdf

This book explores the history of abstract algebra. It shows how abstract algebra has arisen in attempting to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved.

Author : W. W. Sawyer
Publisher : Courier Dover Publications
Page : 241 pages
File Size : 55,8 Mb
Release : 2018-08-15
Category : Mathematics
ISBN : 9780486824611

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Concrete Approach to Abstract Algebra by W. W. Sawyer Pdf

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.