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Basic Modern Algebra with Applications
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New Delhi :
Springer India : Imprint: Springer,
2014.
|
| Edición: | 1st ed. 2014. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-81-322-1599-8 | ||
| 003 | DE-He213 | ||
| 005 | 20220118004103.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 131206s2014 ii | s |||| 0|eng d | ||
| 020 | |a 9788132215998 |9 978-81-322-1599-8 | ||
| 024 | 7 | |a 10.1007/978-81-322-1599-8 |2 doi | |
| 050 | 4 | |a QA150-272 | |
| 072 | 7 | |a PBF |2 bicssc | |
| 072 | 7 | |a MAT002000 |2 bisacsh | |
| 072 | 7 | |a PBF |2 thema | |
| 082 | 0 | 4 | |a 512 |2 23 |
| 100 | 1 | |a Adhikari, Mahima Ranjan. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Basic Modern Algebra with Applications |h [electronic resource] / |c by Mahima Ranjan Adhikari, Avishek Adhikari. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a New Delhi : |b Springer India : |b Imprint: Springer, |c 2014. | |
| 300 | |a XIX, 637 p. 48 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a 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. . | |
| 520 | |a 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. . | ||
| 650 | 0 | |a Algebra. | |
| 650 | 0 | |a Commutative algebra. | |
| 650 | 0 | |a Commutative rings. | |
| 650 | 0 | |a Group theory. | |
| 650 | 0 | |a Number theory. | |
| 650 | 0 | |a Algebra, Homological. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 1 | 4 | |a Algebra. |
| 650 | 2 | 4 | |a Commutative Rings and Algebras. |
| 650 | 2 | 4 | |a Group Theory and Generalizations. |
| 650 | 2 | 4 | |a Number Theory. |
| 650 | 2 | 4 | |a Category Theory, Homological Algebra. |
| 650 | 2 | 4 | |a Applications of Mathematics. |
| 700 | 1 | |a Adhikari, Avishek. |e author. |0 (orcid)0000-0002-7768-4629 |1 https://orcid.org/0000-0002-7768-4629 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9788132215981 |
| 776 | 0 | 8 | |i Printed edition: |z 9788132216001 |
| 776 | 0 | 8 | |i Printed edition: |z 9788132234982 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-81-322-1599-8 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||