
- 352 pages
- English
- PDF
- Available on iOS & Android
About this book
Engineers and computer scientists who need a basic understanding of algebra will benefit from this accessible book. The sixth edition includes many carefully worked examples and proofs to guide them through abstract algebra successfully. It introduces the most important kinds of algebraic structures, and helps them improve their ability to understand and work with abstract ideas. New and revised exercise sets are integrated throughout the first four chapters. A more in-depth discussion is also included on Galois Theory. The first six chapters provide engineers and computer scientists with the core of the subject and then the book explores the concepts in more detail.
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Information
Table of contents
- Cover
- Title Page
- Copyright
- Preface
- Advice for Students
- Contents
- Introduction
- I. Mappings and Operations
- II. Introduction to Groups
- III. Equivalence. Congruence. Divisibility
- IV. Groups
- V. Group Homomorphisms
- VI. Introduction to Rings
- VII. The Familiar Number Systems
- VIII. Polynomials
- IX. Quotient Rings
- X. Galois Theory: Overview
- XI. Galois Theory
- XII. Geometric Constructions
- XIII. Solvable and Alternating Groups
- XIV. Applications of Permutation Groups
- XV. Symmetry
- XVI. Lattices and Boolean Algebras
- A. Sets
- B. Proofs
- C. Mathematical Induction
- D. Linear Algebra
- E. Solutions to Selected Problems
- F. Algebraic Coding
- G. Switching
- Photo Credit List
- Index of Notation
- Index
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