04068nam 22008295 450 991025427510332120200706075323.0981-10-4253-510.1007/978-981-10-4253-9(CKB)4340000000062069(DE-He213)978-981-10-4253-9(MiAaPQ)EBC6313023(MiAaPQ)EBC5578912(Au-PeEL)EBL5578912(OCoLC)987437850(PPN)201469855(EXLCZ)99434000000006206920170509d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierAlgebra 1 Groups, Rings, Fields and Arithmetic /by Ramji Lal1st ed. 2017.Singapore :Springer Singapore :Imprint: Springer,2017.1 online resource (XVII, 433 p.) Infosys Science Foundation Series in Mathematical Sciences,2364-4036Includes index.981-10-4252-7 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.Infosys Science Foundation Series in Mathematical Sciences,2364-4036Group theoryAssociative ringsRings (Algebra)Nonassociative ringsCommutative algebraCommutative ringsAlgebraField theory (Physics)Number theoryGroup Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Associative Rings and Algebrashttps://scigraph.springernature.com/ontologies/product-market-codes/M11027Non-associative Rings and Algebrashttps://scigraph.springernature.com/ontologies/product-market-codes/M11116Commutative Rings and Algebrashttps://scigraph.springernature.com/ontologies/product-market-codes/M11043Field Theory and Polynomialshttps://scigraph.springernature.com/ontologies/product-market-codes/M11051Number Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M25001Group theory.Associative rings.Rings (Algebra).Nonassociative rings.Commutative algebra.Commutative rings.Algebra.Field theory (Physics).Number theory.Group Theory and Generalizations.Associative Rings and Algebras.Non-associative Rings and Algebras.Commutative Rings and Algebras.Field Theory and Polynomials.Number Theory.512.2Lal Ramjiauthttp://id.loc.gov/vocabulary/relators/aut767330MiAaPQMiAaPQMiAaPQBOOK9910254275103321Algebra 11984159UNINA