000			01740nam a22001817a 4500
005			20240731094033.0
008			240731b |||||||| |||| 00| 0 eng d
020			_a9789811350887
082			_a512.2 _bLAL
100			_aRamji Lal
245			_aAlgebra 1 _bgroups, rings, fields and arithmetic
260			_aSingapore: _bSpringer, _c2017.
300			_a xvii, 433p
505			_tFront 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
520			_aThis 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.
650			_aGroup theory, Number system, Rings and fields, Permutation groups, Structure theory of groups
942			_2ddc _cBK
999			_c2349 _d2349