Abstract Algebra
eBook - PDF

Abstract Algebra

A Comprehensive Introduction

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Abstract Algebra

A Comprehensive Introduction

About this book

Through this book, upper undergraduate mathematics majors will master a challenging yet rewarding subject, and approach advanced studies in algebra, number theory and geometry with confidence. Groups, rings and fields are covered in depth with a strong emphasis on irreducible polynomials, a fresh approach to modules and linear algebra, a fresh take on Gröbner theory, and a group theoretic treatment of Rejewski's deciphering of the Enigma machine. It includes a detailed treatment of the basics on finite groups, including Sylow theory and the structure of finite abelian groups. Galois theory and its applications to polynomial equations and geometric constructions are treated in depth. Those interested in computations will appreciate the novel treatment of division algorithms. This rigorous text 'gets to the point', focusing on concisely demonstrating the concept at hand, taking a 'definitions first, examples next' approach. Exercises reinforce the main ideas of the text and encourage students' creativity.

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Yes, you can access Abstract Algebra by John W. Lawrence,Frank A. Zorzitto in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Dedication
  7. Contents
  8. Preface
  9. 1 A Refresher on the Integers
  10. 2 A First Look at Groups
  11. 3 Groups Acting on Sets
  12. 4 Basics on Rings – Mostly Commutative
  13. 5 Primes and Unique Factorization
  14. 6 Algebraic Field Extensions
  15. 7 Applications of Galois Theory
  16. 8 Modules over Principal Ideal Domains
  17. 9 Division Algorithms
  18. Appendix A Infinite Sets
  19. Index