The Resource Basic Modern Algebra with Applications, by Mahima Ranjan Adhikari, Avishek Adhikari, (electronic resource)
Basic Modern Algebra with Applications, by Mahima Ranjan Adhikari, Avishek Adhikari, (electronic resource)
Resource Information
The item Basic Modern Algebra with Applications, by Mahima Ranjan Adhikari, Avishek Adhikari, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Basic Modern Algebra with Applications, by Mahima Ranjan Adhikari, Avishek Adhikari, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 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
 XIX, 637 pages 48 illustrations
 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
 by 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
 ITFiEUI
 http://library.link/vocab/creatorName
 Adhikari, Mahima Ranjan
 Image bit depth
 0
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Adhikari, Avishek.
 SpringerLink (Online service)
 Series statement
 Springer eBooks
 http://library.link/vocab/subjectName

 Mathematics
 Algebra
 Group theory
 Number theory
 Label
 Basic Modern Algebra with Applications, by Mahima Ranjan Adhikari, Avishek Adhikari, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 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
 Control code
 9788132215998
 Dimensions
 unknown
 Extent
 XIX, 637 pages 48 illustrations
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9788132215998
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9788132215998
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086428876
 Label
 Basic Modern Algebra with Applications, by Mahima Ranjan Adhikari, Avishek Adhikari, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 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
 Control code
 9788132215998
 Dimensions
 unknown
 Extent
 XIX, 637 pages 48 illustrations
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9788132215998
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9788132215998
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086428876
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/BasicModernAlgebrawithApplicationsbyMahima/lQ4pk1ucaw0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/BasicModernAlgebrawithApplicationsbyMahima/lQ4pk1ucaw0/">Basic Modern Algebra with Applications, by Mahima Ranjan Adhikari, Avishek Adhikari, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>