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Topics in Algebra
  • Language: en
  • Pages: 405

Topics in Algebra

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

Abstract Algebra
  • Language: en
  • Pages: 322

Abstract Algebra

None

TOPICS IN ALGEBRA, 2ND ED
  • Language: en
  • Pages: 396

TOPICS IN ALGEBRA, 2ND ED

About The Book: This book on algebra includes extensive revisions of the material on finite groups and Galois Theory. Further more the book also contains new problems relating to Algebra.

Matters Mathematical
  • Language: en
  • Pages: 256

Matters Mathematical

From the Preface: "This book is based on notes prepared for a course at the University of Chicago. The course was intended for nonmajors whose mathematical training was somewhat limited ... Mastery of the material requires nothing beyond algebra and geometry normally covered in high school ... [It] could be used in courses designed for students who intend to teach mathematics ... We want the reader to see mathematics as a living subject in which new results are constantly being obtained." Reprint/Revision History: second edition 1978

Fundamentals of Real Analysis
  • Language: en
  • Pages: 504

Fundamentals of Real Analysis

"This book is very well organized and clearly written and contains an adequate supply of exercises. If one is comfortable with the choice of topics in the book, it would be a good candidate for a text in a graduate real analysis course." -- MATHEMATICAL REVIEWS

Noncommutative Rings
  • Language: en
  • Pages: 220

Noncommutative Rings

A cross-section of ideas, techniques and results that give the reader an unparalleled introductory overview of the subject.

A Course in Algebra
  • Language: en
  • Pages: 526

A Course in Algebra

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 ...

A Concrete Introduction to Higher Algebra
  • Language: en
  • Pages: 540

A Concrete Introduction to Higher Algebra

An informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials, with much emphasis placed on congruence classes leading the way to finite groups and finite fields. New examples and theory are integrated in a well-motivated fashion and made relevant by many applications -- to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are scattered throughout the book, with hints and answers for many of them included in an appendix.

Topics in Ring Theory
  • Language: en
  • Pages: 156

Topics in Ring Theory

  • Type: Book
  • -
  • Published: 1969
  • -
  • Publisher: Unknown

None

Algebra: Chapter 0
  • Language: en
  • Pages: 738

Algebra: Chapter 0

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.