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ISBN
:
9788126519231
Publisher
:
Wiley India Pvt Ltd
Subject
:
Mathematics
Binding
:
Paperback
Pages
:
368
Year
:
2006
₹
319.0
₹
245.0
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This book presents an introduction to modern (abstract) algebra covering the basic ideas of groups, rings, and fields. The first part of the book treats ideas that are important but neither abstract nor complicated, and provides practice in handling mathematical statements - their meaning, quantification, negation, and proof. This edition features a new section to give more substance to the introduction to Galois theory, updated lists of references and discussions of topics such as Fermat's Last Theorem and the finite simple groups. Table of Contents Introduction Mappings and Operations Introduction to Groups Equivalence, Congruence, Divisibility Groups Group Homomorphisms Introduction to Rings The Familiar Number Systems Polynomials Quotient Rings Field Extensions Galois Theory Geometric Constructions Applications of Permutation Groups Symmetry Cryptography and Algebraic Coding Lattices and Boolean Algebras A. Sets B. Proofs C. Mathematical Induction D. Linear Algebra E. Solutions to Selected Problems Photo Credit List Index of Notation Index
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