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＜E-Book＞
Algebra 1 : Groups, Rings, Fields and Arithmetic / by Ramji Lal
(Infosys Science Foundation Series in Mathematical Sciences. ISSN:23644044)

Edition	1st ed. 2017.
Publisher	(Singapore : Springer Nature Singapore : Imprint: Springer)
Year	2017
Size	XVII, 433 p : online resource
Authors	*Lal, Ramji author SpringerLink (Online service)
Subjects	LCSH:Group theory LCSH:Associative rings LCSH:Associative algebras LCSH:Nonassociative rings LCSH:Commutative algebra LCSH:Commutative rings LCSH:Algebraic fields LCSH:Polynomials LCSH:Number theory FREE:Group Theory and Generalizations FREE:Associative Rings and Algebras FREE:Non-associative Rings and Algebras FREE:Commutative Rings and Algebras FREE:Field Theory and Polynomials FREE:Number Theory
Notes	Chapter 1. Language of mathematics 1 (Logic) -- Chapter 2. Language Of Mathematics 2 (Set Theory) -- Chapter 3. Number System -- Chapter 4. Group Theory -- Chapter 5. Fundamental Theorems -- Chapter 6. Permutation groups and Classical Groups -- Chapter 7. Elementary Theory of Rings and Fields -- Chapter 8. Number Theory 2 -- Chapter 9. Structure theory of groups -- Chapter 10. Structure theory continued -- Chapter 11. Arithmetic in Rings 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 HTTP:URL=https://doi.org/10.1007/978-981-10-4253-9

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