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1291 مرتبه مشاهده شده
Abstract algebra : an introductory course
Lee, Gregory T.,
- ISBN:9783319776491
- ISBN:3319776495
- ISBN:9783319776484
- ISBN:3319776487
- Call Number : QA 162 .L44 2018
- Main Entry: Lee, Gregory T., 1971-
- Title:Abstract algebra : an introductory course [electronic resource] / Gregory T. Lee.
- Publisher:Switzerland : Springer International Publishing AG, 2018.
- Physical Description:xi, 301 p.: ill
- Series:Springer Undergraduate Mathematics Series, 1615-2085
- Notes:Includes Index
- Subject:Algebra, Abstract.
- Subject:Associative rings.
- Subject:Rings (Algebra)
- Subject:Algebra.
- Subject:Group theory.
- Subject:Algebraic fields.
- Reproduction no./Source:com.springer.onix.9783319776491 Springer Nature
- Preface
- Contents
- Part I Preliminaries
- 1 Relations and Functions
- 2 The Integers and Modular Arithmetic
- Part II Groups
- 3 Introduction to Groups
- 4 Factor Groups and Homomorphisms
- 5 Direct Products and the Classification of Finite Abelian Groups
- 6 Symmetric and Alternating Groups
- 7 The Sylow Theorems
- Part III Rings
- 8 Introduction to Rings
- 9 Ideals, Factor Rings and Homomorphisms
- 10 Special Types of Domains
- Part IV Fields and Polynomials
- 11 Irreducible Polynomials
- 12 Vector Spaces and Field Extensions
- Part V Applications
- 13 Public Key Cryptography
- 14 Straightedge and Compass Constructions
- A The Complex Numbers
- Appendix B Matrix Algebra
- Appendix Solutions
- Index