Topics in Algebra

Topics in Algebra
Author: I. N. Herstein
Publisher: John Wiley & Sons
Total Pages: 405
Release: 1991-01-16
Genre: Mathematics
ISBN: 0471010901

New edition includes extensive revisions of the material on finite groups and Galois Theory. New problems added throughout.

A Book of Abstract Algebra

A Book of Abstract Algebra
Author: Charles C Pinter
Publisher: Courier Corporation
Total Pages: 402
Release: 2010-01-14
Genre: Mathematics
ISBN: 0486474178

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
Author: I. N. Herstein
Publisher: Macmillan College
Total Pages: 322
Release: 1990
Genre: Mathematics
ISBN:

Undergraduate Algebra

Undergraduate Algebra
Author: Serge Lang
Publisher: Springer Science & Business Media
Total Pages: 380
Release: 2013-06-29
Genre: Mathematics
ISBN: 1475768982

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

Topics In Abstract Algebra (second Edition)

Topics In Abstract Algebra (second Edition)
Author: P. Mukhopadhyay
Publisher: Universities Press
Total Pages: 506
Release: 2006
Genre:
ISBN: 9788173715518

This book covers the elements of Abstract Algebra, which is a major mathematics course for undergraduate students all over the country and also for first year postgraduate students of many universities. It is designed according to the new UGC syllabus prescribed for all Indian universities.

Algebra

Algebra
Author: Michael Artin
Publisher: Pearson
Total Pages: 486
Release: 2013-09-01
Genre: Algebra
ISBN: 9781292027661

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.

Introduction to Abstract Algebra

Introduction to Abstract Algebra
Author: Jonathan D. H. Smith
Publisher: CRC Press
Total Pages: 353
Release: 2015-10-23
Genre: Mathematics
ISBN: 1498731627

Introduction to Abstract Algebra, Second Edition presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It avoids the usual groups first/rings first dilemma by introducing semigroups and monoids, the multiplicative structures of rings, along with groups.This new edition of a widely adopted textbook covers

College Algebra

College Algebra
Author: Jay Abramson
Publisher:
Total Pages: 892
Release: 2018-01-07
Genre: Mathematics
ISBN: 9789888407439

College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory

Abstract Algebra

Abstract Algebra
Author: Paul B. Garrett
Publisher: CRC Press
Total Pages: 467
Release: 2007-09-25
Genre: Mathematics
ISBN: 1584886897

Designed for an advanced undergraduate- or graduate-level course, Abstract Algebra provides an example-oriented, less heavily symbolic approach to abstract algebra. The text emphasizes specifics such as basic number theory, polynomials, finite fields, as well as linear and multilinear algebra. This classroom-tested, how-to manual takes a more narrative approach than the stiff formalism of many other textbooks, presenting coherent storylines to convey crucial ideas in a student-friendly, accessible manner. An unusual feature of the text is the systematic characterization of objects by universal mapping properties, rather than by constructions whose technical details are irrelevant. Addresses Common Curricular Weaknesses In addition to standard introductory material on the subject, such as Lagrange's and Sylow's theorems in group theory, the text provides important specific illustrations of general theory, discussing in detail finite fields, cyclotomic polynomials, and cyclotomic fields. The book also focuses on broader background, including brief but representative discussions of naive set theory and equivalents of the axiom of choice, quadratic reciprocity, Dirichlet's theorem on primes in arithmetic progressions, and some basic complex analysis. Numerous worked examples and exercises throughout facilitate a thorough understanding of the material.

Certain Number-Theoretic Episodes In Algebra, Second Edition

Certain Number-Theoretic Episodes In Algebra, Second Edition
Author: R Sivaramakrishnan
Publisher: CRC Press
Total Pages: 444
Release: 2019-03-19
Genre: Mathematics
ISBN: 1351023330

The book attempts to point out the interconnections between number theory and algebra with a view to making a student understand certain basic concepts in the two areas forming the subject-matter of the book.