Basic modern algebra with applications:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Delhi [u.a.]
Springer
2014
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XIX, 637 S.) graph. Darst. |
| ISBN: | 9788132215981 9788132215998 |
| DOI: | 10.1007/978-81-322-1599-8 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804151870195761152 |
|---|---|
| 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.
|
| any_adam_object | 1 |
| author | Adhikari, Mahima Ranjan Adhikari, Avishek |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-81-322-1599-8 |
| format | Electronic eBook |
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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 |
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| 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 |
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