TY  - BOOK
AU  - Lal,Ramji
TI  - Algebra 1: Groups, Rings, Fields and Arithmetic 
T2  - Infosys Science Foundation Series in Mathematical Sciences,
SN  - 9789811042539
AV  - QA174-183 
U1  - 512.2 23
PY  - 2017///
CY  - Singapore
PB  - Springer Singapore, Imprint: Springer
KW  - Group theory
KW  - Associative rings
KW  - Rings (Algebra)
KW  - Nonassociative rings
KW  - Commutative algebra
KW  - Commutative rings
KW  - Algebra
KW  - Field theory (Physics)
KW  - Number theory
KW  - Group Theory and Generalizations
KW  - Associative Rings and Algebras
KW  - Non-associative Rings and Algebras
KW  - Commutative Rings and Algebras
KW  - Field Theory and Polynomials
KW  - Number Theory
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-981-10-4253-9
ER  -