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A first course in abstract algebra

By: Contributor(s): Material type: TextTextPublication details: New Delhi : Pearson, ©2023Edition: 8th edDescription: xvi, 424 p. : ill. ; 23 cmISBN:
  • 9789356067059
Subject(s): DDC classification:
  • 512.02 23 FRA-F
LOC classification:
  • QA162 .F7 2020
Contents:
I. GROUPS AND SUBGROUPS II. STRUCTURE OF GROUPS III. HOMOMORPHISMS AND FACTOR GROUPS IV. ADVANCED GROUP THEORY V. RINGS AND FIELDS VI. CONSTRUCTING RINGS AND FIELDS VII. COMMUTATIVE ALGEBRA VIII. EXTENSION FIELDS IX. Galois Theory
Summary: "This is an introduction to abstract algebra. It is anticipated that the students have studied calculus and probably linear algebra. However, these are primarily mathematical maturity prerequisites; subject matter from calculus and linear algebra appears mostly in illustrative examples and exercises. As in previous editions of the text, my aim remains to teach students as much about groups, rings, and fields as I can in a first course. For many students, abstract algebra is their first extended exposure to an axiomatic treatment of mathematics. Recognizing this, I have included extensive explanations concerning what we are trying to accomplish, how we are trying to do it, and why we choose these methods. Mastery of this text constitutes a firm foundation for more specialized work in algebra, and also provides valuable experience for any further axiomatic study of mathematics"--
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Item type Current library Collection Call number Status Date due Barcode Item holds
Books Books IIITD General Stacks Mathematics 512.02 FRA-F (Browse shelf(Opens below)) Available 012892
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Includes bibliographical references and index.

I. GROUPS AND SUBGROUPS II. STRUCTURE OF GROUPS III. HOMOMORPHISMS AND FACTOR GROUPS IV. ADVANCED GROUP THEORY V. RINGS AND FIELDS VI. CONSTRUCTING RINGS AND FIELDS VII. COMMUTATIVE ALGEBRA VIII. EXTENSION FIELDS IX. Galois Theory

"This is an introduction to abstract algebra. It is anticipated that the students have studied calculus and probably linear algebra. However, these are primarily mathematical maturity prerequisites; subject matter from calculus and linear algebra appears mostly in illustrative examples and exercises. As in previous editions of the text, my aim remains to teach students as much about groups, rings, and fields as I can in a first course. For many students, abstract algebra is their first extended exposure to an axiomatic treatment of mathematics. Recognizing this, I have included extensive explanations concerning what we are trying to accomplish, how we are trying to do it, and why we choose these methods. Mastery of this text constitutes a firm foundation for more specialized work in algebra, and also provides valuable experience for any further axiomatic study of mathematics"--

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