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Algebra 1

Groups, Rings, Fields and Arithmetic

  • RamjiĀ Lal

Part of the Infosys Science Foundation Series book series (ISFS)

Also part of the Infosys Science Foundation Series in Mathematical Sciences book sub series (ISFM)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Ramji Lal
    Pages 1-12
  3. Ramji Lal
    Pages 55-91
  4. Ramji Lal
    Pages 93-143
  5. Ramji Lal
    Pages 145-177
  6. Ramji Lal
    Pages 179-217
  7. Ramji Lal
    Pages 219-268
  8. Ramji Lal
    Pages 269-309
  9. Ramji Lal
    Pages 311-351
  10. Ramji Lal
    Pages 353-386
  11. Ramji Lal
    Pages 387-419
  12. Back Matter
    Pages 421-433

About this book

Introduction

This is the first in a series of three volumes dealing with important topics in algebra. It offers an introduction to the foundations of mathematics together with the fundamental algebraic structures, namely groups, rings, fields, and arithmetic. Intended as a text for undergraduate and graduate students of mathematics, it discusses all major topics in algebra with numerous motivating illustrations and exercises to enable readers to acquire a good understanding of the basic algebraic structures, which they can then use to find the exact or the most realistic solutions to their problems.

Keywords

Algebra Number System Group Theory Arithmetic in Rings Equivalence Relations Elementary Theory of rings

Authors and affiliations

  • RamjiĀ Lal
    • 1
  1. 1.Harish Chandra Research Institute (HRI)AllahabadIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-4253-9
  • Copyright Information Springer Nature Singapore Pte Ltd. 2017
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-10-4252-2
  • Online ISBN 978-981-10-4253-9
  • Series Print ISSN 2363-6149
  • Series Online ISSN 2363-6157
  • Buy this book on publisher's site