A Book of Abstract Algebra

Second Edition

Author: Charles C Pinter

Publisher: Courier Corporation

ISBN: 0486474178

Category: Mathematics

Page: 384

View: 8399

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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.
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Basic Algebra I

Second Edition

Author: Nathan Jacobson

Publisher: Courier Corporation

ISBN: 0486135225

Category: Mathematics

Page: 528

View: 2835

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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.
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Dynamical Systems

Author: Shlomo Sternberg

Publisher: Courier Corporation

ISBN: 0486135144

Category: Mathematics

Page: 272

View: 8861

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A pioneer in the field of dynamical systems discusses one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials include PowerPoint slides and MATLAB exercises. 2010 edition.
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Introduction to the Theory of Abstract Algebras

Author: Richard S Pierce

Publisher: Courier Corporation

ISBN: 0486799425

Category: Mathematics

Page: 160

View: 2484

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Suitable for introductory graduate-level courses and independent study, this text explores major themes of universal algebra: subdirect decompositions, direct decompositions, free algebras, and varieties of algebras. Includes problems and a bibliography. 1968 edition.
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Math Power

How to Help Your Child Love Math, Even If You Don't

Author: Patricia Clark Kenschaft

Publisher: Courier Corporation

ISBN: 0486491811

Category: Mathematics

Page: 336

View: 4350

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"Critically acclaimed and commercially successful, this resource helps parents overcome their residual math anxiety and assists them in showing children how to enjoy the subject and excel at it. Packed with useful information and instruction, the book features proven teaching techniques, games, and other activities. Suitable for home schoolers and other parents of children from preschool to age 10. 2006 edition"--
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Matrices and Linear Algebra

Author: Hans Schneider,George Phillip Barker

Publisher: Courier Corporation

ISBN: 0486139301

Category: Mathematics

Page: 432

View: 9589

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Basic textbook covers theory of matrices and its applications to systems of linear equations and related topics such as determinants, eigenvalues, and differential equations. Includes numerous exercises.
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Modern Algebra

Author: Seth Warner

Publisher: Courier Corporation

ISBN: 0486663418

Category: Mathematics

Page: 818

View: 303

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Standard text provides an exceptionally comprehensive treatment of every aspect of modern algebra. Explores algebraic structures, rings and fields, vector spaces, polynomials, linear operators, much more. Over 1,300 exercises. 1965 edition.
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Introduction to Modern Algebra and Matrix Theory

Second Edition

Author: O. Schreier,E. Sperner

Publisher: Courier Corporation

ISBN: 0486278654

Category: Mathematics

Page: 400

View: 8137

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This unique text provides students with a basic course in both calculus and analytic geometry — no competitive editions cover both topics in a single volume. Its prerequisites are minimal, and the order of its presentation promotes an intuitive approach to calculus. Algebraic concepts receive an unusually strong emphasis. Numerous exercises appear throughout the text. 1951 edition.
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Inversive Geometry

Author: Frank Morley

Publisher: Courier Corporation

ISBN: 0486493393

Category: Mathematics

Page: 288

View: 699

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This introduction to algebraic geometry makes particular reference to the operation of inversion. Topics include Euclidean group; inversion; quadratics; finite inversive groups; parabolic, hyperbolic, and elliptic geometries; differential geometry; and more. 1933 edition.
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Advanced Number Theory

Author: Harvey Cohn

Publisher: Courier Corporation

ISBN: 9780486640235

Category: Mathematics

Page: 276

View: 8875

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"A very stimulating book ... in a class by itself." — American Mathematical Monthly Advanced students, mathematicians and number theorists will welcome this stimulating treatment of advanced number theory, which approaches the complex topic of algebraic number theory from a historical standpoint, taking pains to show the reader how concepts, definitions and theories have evolved during the last two centuries. Moreover, the book abounds with numerical examples and more concrete, specific theorems than are found in most contemporary treatments of the subject. The book is divided into three parts. Part I is concerned with background material — a synopsis of elementary number theory (including quadratic congruences and the Jacobi symbol), characters of residue class groups via the structure theorem for finite abelian groups, first notions of integral domains, modules and lattices, and such basis theorems as Kronecker's Basis Theorem for Abelian Groups. Part II discusses ideal theory in quadratic fields, with chapters on unique factorization and units, unique factorization into ideals, norms and ideal classes (in particular, Minkowski's theorem), and class structure in quadratic fields. Applications of this material are made in Part III to class number formulas and primes in arithmetic progression, quadratic reciprocity in the rational domain and the relationship between quadratic forms and ideals, including the theory of composition, orders and genera. In a final concluding survey of more recent developments, Dr. Cohn takes up Cyclotomic Fields and Gaussian Sums, Class Fields and Global and Local Viewpoints. In addition to numerous helpful diagrams and tables throughout the text, appendices, and an annotated bibliography, Advanced Number Theory also includes over 200 problems specially designed to stimulate the spirit of experimentation which has traditionally ruled number theory.
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