TY  - BOOK
AU  - Ramji Lal
TI  - Algebra 1 : groups, rings, fields and arithmetic 
SN  - 9789811350887
U1  - 512.2 
PY  - 2017///
CY  - Singapore: 
PB  - Springer, 
KW  - Group theory, Number system, Rings and fields, Permutation groups, Structure theory of groups
N1  - Front Matter-Pages i-xvii
Language of Mathematics 1 (Logic)
Pages 1-12
Language of Mathematics 2 (Set Theory)
Ramji Lal
Pages 13-53
Number System
Ramji Lal
Pages 55-91
Group Theory
Ramji Lal
Pages 93-143
Fundamental Theorems
Ramji Lal
Pages 145-177
Permutation Groups and Classical Groups
Ramji Lal
Pages 179-217
Elementary Theory of Rings and Fields
Ramji Lal
Pages 219-268
Number Theory 2
Ramji Lal
Pages 269-309
Structure Theory of Groups
Ramji Lal
Pages 311-351
Structure Theory Continued
Ramji Lal
Pages 353-386
Arithmetic in Rings
Ramji Lal
Pages 387-419
Back Matter
Pages 421-433
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
ER  -