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The Resource Basic modern algebra with applications, Mahima Ranjan Adhikari, Avishek Adhikari
Basic modern algebra with applications, Mahima Ranjan Adhikari, Avishek Adhikari
Resource Information
The item Basic modern algebra with applications, Mahima Ranjan Adhikari, Avishek Adhikari represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Basic modern algebra with applications, Mahima Ranjan Adhikari, Avishek Adhikari represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 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
 Language
 eng
 Extent
 1 online resource (XIX, 637 pages)
 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
 Isbn
 9788132215998
 Label
 Basic modern algebra with applications
 Title
 Basic modern algebra with applications
 Statement of responsibility
 Mahima Ranjan Adhikari, Avishek Adhikari
 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
 QA150272
 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
 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
 10.1007/9788132215998
 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
 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
 10.1007/9788132215998
 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
Subject
 Algebra
 Algebra
 Algebra
 Applications of Mathematics
 Category Theory, Homological Algebra
 Commutative Rings and Algebras
 Electronic books
 Group Theory and Generalizations
 Group theory
 Group theory
 Mathematics
 Mathematics
 Number Theory
 Number theory
 Number theory
 Physical Sciences & Mathematics
Genre
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/BasicmodernalgebrawithapplicationsMahima/jfyvPm0kbM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/BasicmodernalgebrawithapplicationsMahima/jfyvPm0kbM/">Basic modern algebra with applications, Mahima Ranjan Adhikari, Avishek Adhikari</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>