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  • © 2017

Algebra 1

Groups, Rings, Fields and Arithmetic

Authors:

  • Presents an accessible introduction to the major theorems of modern algebra
  • Provides a clear and motivating exposition with numerous examples and exercises
  • Is written by an expert with over 43 years of teaching experience of the subject
  • Includes supplementary material: sn.pub/extras

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

Part of the book sub series: Infosys Science Foundation Series in Mathematical Sciences (ISFM)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xvii
  2. Language of Mathematics 1 (Logic)

    • Ramji Lal
    Pages 1-12
  3. Number System

    • Ramji Lal
    Pages 55-91
  4. Group Theory

    • Ramji Lal
    Pages 93-143
  5. Fundamental Theorems

    • Ramji Lal
    Pages 145-177
  6. Permutation Groups and Classical Groups

    • Ramji Lal
    Pages 179-217
  7. Elementary Theory of Rings and Fields

    • Ramji Lal
    Pages 219-268
  8. Number Theory 2

    • Ramji Lal
    Pages 269-309
  9. Structure Theory of Groups

    • Ramji Lal
    Pages 311-351
  10. Structure Theory Continued

    • Ramji Lal
    Pages 353-386
  11. Arithmetic in Rings

    • Ramji Lal
    Pages 387-419
  12. Back Matter

    Pages 421-433

About this book

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.

Reviews

“The rich material is explaind in a very lucid, detailed and rigorous style. Together with the unique wealth of instructive illustrations, examples, and exercises, the main text makes an excellent source for both teaching and self-study of the subject. Certainly, this new textbook is a very useful and valuable enrichment of the plenty of existing primers in the field of higher algebra.” (Werner Kleinert, zbMATH 1369.00002, 2017)

Authors and Affiliations

  • Harish Chandra Research Institute (HRI), Allahabad, India

    Ramji Lal

About the author

RAMJI LAL is an adjunct professor at the Harish-Chandra Research Institute (HRI), Allahabad, Uttar Pradesh. He started his research career at the Tata Institute of Fundamental Research (TIFR), Mumbai, and served the University of Allahabad in different capacities for over 43 years: as a professor, head of the department and the coordinator of the DSA program. He was associated with HRI, where he initiated a postgraduate (PG) program in mathematics and coordinated the Nurture Program of National Board for Higher Mathematics (NBHM) from 1996 to 2000. After his retirement from the University of Allahabad, he was an advisor cum adjunct professor at the Indian Institute of Information Technology (IIIT), Allahabad for over three years. His areas of interest include group theory, algebraic K-theory and representation theory

Bibliographic Information

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 89.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access