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)
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Front Matter
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Back Matter
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.
Keywords
- Algebra
- Number System
- Group Theory
- Arithmetic in Rings
- Equivalence Relations
- Elementary Theory of rings
Reviews
Authors and Affiliations
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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
Book Title: Algebra 1
Book Subtitle: Groups, Rings, Fields and Arithmetic
Authors: Ramji Lal
Series Title: Infosys Science Foundation Series
DOI: https://doi.org/10.1007/978-981-10-4253-9
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2017
Hardcover ISBN: 978-981-10-4252-2Published: 16 May 2017
Softcover ISBN: 978-981-13-5088-7Published: 12 December 2018
eBook ISBN: 978-981-10-4253-9Published: 07 May 2017
Series ISSN: 2363-6149
Series E-ISSN: 2363-6157
Edition Number: 1
Number of Pages: XVII, 433
Topics: Group Theory and Generalizations, Associative Rings and Algebras, Non-associative Rings and Algebras, Commutative Rings and Algebras, Field Theory and Polynomials, Number Theory