Holdings: Basic modern algebra with applications

Basic modern algebra with applications:

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Bibliographic Details
Main Authors:	Adhikari, Mahima Ranjan (Author), Adhikari, Avishek (Author)
Format:	Electronic eBook
Language:	English
Published:	New Delhi [u.a.] Springer 2014
Subjects:	Algebra Lehrbuch
Online Access:	BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource (XIX, 637 S.) graph. Darst.
ISBN:	9788132215981 9788132215998
DOI:	10.1007/978-81-322-1599-8

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MARC


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adam_text	BASIC MODERN ALGEBRA WITH APPLICATIONS / ADHIKARI, MAHIMA RANJAN : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS PREREQUISITES: BASICS OF SET THEORY AND INTEGERS GROUPS: INTRODUCTORY CONCEPTS ACTIONS OF GROUPS, TOPOLOGICAL GROUPS AND SEMIGROUPS RINGS: INTRODUCTORY CONCEPTS IDEALS OF RINGS: INTRODUCTORY CONCEPTS FACTORIZATION IN INTEGRAL DOMAINS AND IN POLYNOMIAL RINGS RINGS WITH CHAIN CONDITIONS VECTOR SPACES MODULES ALGEBRAIC ASPECTS OF NUMBER THEORY ALGEBRAIC NUMBERS INTRODUCTION TO MATHEMATICAL CRYPTOGRAPHY APPENDIX A: SOME ASPECTS OF SEMIRINGS APPENDIX B: CATEGORY THEORY APPENDIX C: A BRIEF HISTORICAL NOTE. DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. BASIC MODERN ALGEBRA WITH APPLICATIONS / ADHIKARI, MAHIMA RANJAN : 2014 ABSTRACT / INHALTSTEXT THE BOOK IS PRIMARILY INTENDED AS A TEXTBOOK ON MODERN ALGEBRA FOR UNDERGRADUATE MATHEMATICS STUDENTS. IT IS ALSO USEFUL FOR THOSE WHO ARE INTERESTED IN SUPPLEMENTARY READING AT A HIGHER LEVEL. THE TEXT IS DESIGNED IN SUCH A WAY THAT IT ENCOURAGES INDEPENDENT THINKING AND MOTIVATES STUDENTS TOWARDS FURTHER STUDY. THE BOOK COVERS ALL MAJOR TOPICS IN GROUP, RING, VECTOR SPACE AND MODULE THEORY THAT ARE USUALLY CONTAINED IN A STANDARD MODERN ALGEBRA TEXT. IN ADDITION, IT STUDIES SEMIGROUP, GROUP ACTION, HOPF S GROUP, TOPOLOGICAL GROUPS AND LIE GROUPS WITH THEIR ACTIONS, APPLICATIONS OF RING THEORY TO ALGEBRAIC GEOMETRY, AND DEFINES ZARISKI TOPOLOGY, AS WELL AS APPLICATIONS OF MODULE THEORY TO STRUCTURE THEORY OF RINGS AND HOMOLOGICAL ALGEBRA. ALGEBRAIC ASPECTS OF CLASSICAL NUMBER THEORY AND ALGEBRAIC NUMBER THEORY ARE ALSO DISCUSSED WITH AN EYE TO DEVELOPING MODERN CRYPTOGRAPHY. TOPICS ON APPLICATIONS TO ALGEBRAIC TOPOLOGY, CATEGORY THEORY, ALGEBRAIC GEOMETRY, ALGEBRAIC NUMBER THEORY, CRYPTOGRAPHY AND THEORETICAL COMPUTER SCIENCE INTERLINK THE SUBJECT WITH DIFFERENT AREAS. EACH CHAPTER DISCUSSES INDIVIDUAL TOPICS, STARTING FROM THE BASICS, WITH THE HELP OF ILLUSTRATIVE EXAMPLES. THIS COMPREHENSIVE TEXT WITH A BROAD VARIETY OF CONCEPTS, APPLICATIONS, EXAMPLES, EXERCISES AND HISTORICAL NOTES REPRESENTS A VALUABLE AND UNIQUE RESOURCE. DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spelling	Adhikari, Mahima Ranjan Verfasser (DE-588)1116306131 aut Basic modern algebra with applications Mahima Ranjan Adhikari ; Avishek Adhikari New Delhi [u.a.] Springer 2014 1 Online-Ressource (XIX, 637 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier Algebra (DE-588)4001156-2 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Algebra (DE-588)4001156-2 s 2\p DE-604 Adhikari, Avishek Verfasser aut https://doi.org/10.1007/978-81-322-1599-8 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027085921&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027085921&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Adhikari, Mahima Ranjan Adhikari, Avishek Basic modern algebra with applications Algebra (DE-588)4001156-2 gnd
subject_GND	(DE-588)4001156-2 (DE-588)4123623-3
title	Basic modern algebra with applications
title_auth	Basic modern algebra with applications
title_exact_search	Basic modern algebra with applications
title_full	Basic modern algebra with applications Mahima Ranjan Adhikari ; Avishek Adhikari
title_fullStr	Basic modern algebra with applications Mahima Ranjan Adhikari ; Avishek Adhikari
title_full_unstemmed	Basic modern algebra with applications Mahima Ranjan Adhikari ; Avishek Adhikari
title_short	Basic modern algebra with applications
title_sort	basic modern algebra with applications
topic	Algebra (DE-588)4001156-2 gnd
topic_facet	Algebra Lehrbuch
url	https://doi.org/10.1007/978-81-322-1599-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027085921&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027085921&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
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