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Basic Modern Algebra with Applications

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Cover of 'Basic Modern Algebra with Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Prerequisites: Basics of Set Theory and Integers
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    Chapter 2 Groups: Introductory Concepts
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    Chapter 3 Actions of Groups, Topological Groups and Semigroups
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    Chapter 4 Rings: Introductory Concepts
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    Chapter 5 Ideals of Rings: Introductory Concepts
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    Chapter 6 Factorization in Integral Domains and in Polynomial Rings
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    Chapter 7 Rings with Chain Conditions
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    Chapter 8 Vector Spaces
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    Chapter 9 Modules
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    Chapter 10 Algebraic Aspects of Number Theory
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    Chapter 11 Algebraic Numbers
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    Chapter 12 Introduction to Mathematical Cryptography
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