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Algebra 1 groups, rings, fields and arithmetic

By:

Ramji Lal

Material type: Text

TextPublication details: Singapore: Springer, 2017.Description: xvii, 433pISBN:

9789811350887

Subject(s):

Group theory, Number system, Rings and fields, Permutation groups, Structure theory of groups

DDC classification:

512.2 LAL

Contents:

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

Summary: 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.

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Holdings
Item type	Current library	Collection	Call number	Status	Barcode
Books	IIITDM Kurnool SCIENCES	Non-fiction	512.2 LAL (Browse shelf(Opens below))	Available	0005873
Books	IIITDM Kurnool SCIENCES	Non-fiction	512.2 LAL (Browse shelf(Opens below))	Available	0005874
Books	IIITDM Kurnool SCIENCES	Non-fiction	512.2 LAL (Browse shelf(Opens below))	Available	0005875
Books	IIITDM Kurnool SCIENCES	Non-fiction	512.2 LAL (Browse shelf(Opens below))	Available	0005876
Books	IIITDM Kurnool SCIENCES	Non-fiction	512.2 LAL (Browse shelf(Opens below))	Available	0005877
Books	IIITDM Kurnool SCIENCES	Non-fiction	512.2 LAL (Browse shelf(Opens below))	Available	0005878
Books	IIITDM Kurnool SCIENCES	Non-fiction	512.2 LAL (Browse shelf(Opens below))	Available	0005879
Books	IIITDM Kurnool SCIENCES	Non-fiction	512.2 LAL (Browse shelf(Opens below))	Available	0005880
Books	IIITDM Kurnool SCIENCES	Non-fiction	512.2 LAL (Browse shelf(Opens below))	Available	0005881
Books	IIITDM Kurnool SCIENCES	Non-fiction	512.2 LAL (Browse shelf(Opens below))	Available	0005882
Books	IIITDM Kurnool SCIENCES	Non-fiction	512.2 LAL (Browse shelf(Opens below))	Available	0005883
Books	IIITDM Kurnool SCIENCES	Non-fiction	512.2 LAL (Browse shelf(Opens below))	Available	0005884
Books	IIITDM Kurnool SCIENCES	Non-fiction	512.2 LAL (Browse shelf(Opens below))	Available	0005885
Books	IIITDM Kurnool SCIENCES	Non-fiction	512.2 LAL (Browse shelf(Opens below))	Available	0005886
Reference	IIITDM Kurnool Reference	Reference	512.2 LAL (Browse shelf(Opens below))	Not For Loan	0005887

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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

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.

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