The Resource Basic modern algebra with applications, Mahima Ranjan Adhikari, Avishek Adhikari

Basic modern algebra with applications, Mahima Ranjan Adhikari, Avishek Adhikari

Label
Basic modern algebra with applications
Title
Basic modern algebra with applications
Statement of responsibility
Mahima Ranjan Adhikari, Avishek Adhikari
Creator
Contributor
Subject
Genre
Language
eng
Summary
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
Cataloging source
DKDLA
http://library.link/vocab/creatorName
Adhikari, Mahima Ranjan
Dewey number
512
Illustrations
illustrations
Index
no index present
LC call number
  • QA152.3
  • QA150-272
Literary form
non fiction
Nature of contents
dictionaries
NLM call number
Online Book
http://library.link/vocab/relatedWorkOrContributorDate
1983-
http://library.link/vocab/relatedWorkOrContributorName
Adhikari, Avishek
http://library.link/vocab/subjectName
  • Algebra
  • Group theory
  • Number theory
  • Algebra
  • Group theory
  • Number theory
  • Mathematics
  • Mathematics
  • Physical Sciences & Mathematics
  • Algebra
  • Mathematics
  • Algebra
  • Commutative Rings and Algebras
  • Group Theory and Generalizations
  • Number Theory
  • Category Theory, Homological Algebra
  • Applications of Mathematics
Label
Basic modern algebra with applications, Mahima Ranjan Adhikari, Avishek Adhikari
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-81-322-1599-8
Instantiates
Publication
Antecedent source
unknown
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
1 online resource (XIX, 637 pages)
File format
unknown
Form of item
online
Isbn
9788132215998
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-81-322-1599-8
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)869793340
  • (OCoLC)ocn869793340
Label
Basic modern algebra with applications, Mahima Ranjan Adhikari, Avishek Adhikari
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-81-322-1599-8
Publication
Antecedent source
unknown
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
1 online resource (XIX, 637 pages)
File format
unknown
Form of item
online
Isbn
9788132215998
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-81-322-1599-8
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)869793340
  • (OCoLC)ocn869793340

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