Introduction to Abstract Algebra:
Abstract algebra is an essential tool in algebra, number theory, geometry, topology, and, to a lesser extent, analysis. It is therefore a core requirement for all mathematics majors. Outside of mathematics, abstract algebra also has many applications in cryptography, coding theory, quantum chemistry...
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| Hauptverfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Les Ulis
EDP Sciences
[2022]
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| Schriftenreihe: | Current Natural Sciences
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| Schlagworte: | |
| Online-Zugang: | DE-1043 DE-1046 DE-858 DE-Aug4 DE-898 DE-859 DE-860 DE-91 DE-706 DE-739 URL des Erstveröffentlichers |
| Zusammenfassung: | Abstract algebra is an essential tool in algebra, number theory, geometry, topology, and, to a lesser extent, analysis. It is therefore a core requirement for all mathematics majors. Outside of mathematics, abstract algebra also has many applications in cryptography, coding theory, quantum chemistry, and physics.This book is intended as a textbook for a one-term senior undergraduate or gradate course in abstract algebra to prepare students for further readings on relevant subjects such as Group Theory and Galois Theory. Abstract algebra being the field of mathematics that studies algebraic structures such as groups, rings, fields, and modules, we will primarily study groups, rings, and fields in this book. The authors invite readers to experience the beauty of mathematics by studying Abstract algebra which offers not only opportunities to work on complex concepts and to develop one's abstract reasoning abilities, but also a preliminary understanding of what it is like to do research in mathematics.Libin LI is professor at School of Mathematics, Yangzhou University in China. His research interests include Representation theory in Hopf algebras and Tensor category, Decoding theory and Ring theory, Weyl algebras and isomorphism problems, etc |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2022) |
| Beschreibung: | 1 Online-Ressource (184 pages) |
| ISBN: | 9782759829163 |
| DOI: | 10.1051/978-2-7598-2916-3 |
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| 520 | |a Abstract algebra is an essential tool in algebra, number theory, geometry, topology, and, to a lesser extent, analysis. It is therefore a core requirement for all mathematics majors. Outside of mathematics, abstract algebra also has many applications in cryptography, coding theory, quantum chemistry, and physics.This book is intended as a textbook for a one-term senior undergraduate or gradate course in abstract algebra to prepare students for further readings on relevant subjects such as Group Theory and Galois Theory. Abstract algebra being the field of mathematics that studies algebraic structures such as groups, rings, fields, and modules, we will primarily study groups, rings, and fields in this book. The authors invite readers to experience the beauty of mathematics by studying Abstract algebra which offers not only opportunities to work on complex concepts and to develop one's abstract reasoning abilities, but also a preliminary understanding of what it is like to do research in mathematics.Libin LI is professor at School of Mathematics, Yangzhou University in China. His research interests include Representation theory in Hopf algebras and Tensor category, Decoding theory and Ring theory, Weyl algebras and isomorphism problems, etc | ||
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| isbn | 9782759829163 |
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| spelling | Li, Libin Verfasser aut Introduction to Abstract Algebra Libin Li, Kaiming Zhao Les Ulis EDP Sciences [2022] © 2022 1 Online-Ressource (184 pages) txt rdacontent c rdamedia cr rdacarrier Current Natural Sciences Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2022) Abstract algebra is an essential tool in algebra, number theory, geometry, topology, and, to a lesser extent, analysis. It is therefore a core requirement for all mathematics majors. Outside of mathematics, abstract algebra also has many applications in cryptography, coding theory, quantum chemistry, and physics.This book is intended as a textbook for a one-term senior undergraduate or gradate course in abstract algebra to prepare students for further readings on relevant subjects such as Group Theory and Galois Theory. Abstract algebra being the field of mathematics that studies algebraic structures such as groups, rings, fields, and modules, we will primarily study groups, rings, and fields in this book. The authors invite readers to experience the beauty of mathematics by studying Abstract algebra which offers not only opportunities to work on complex concepts and to develop one's abstract reasoning abilities, but also a preliminary understanding of what it is like to do research in mathematics.Libin LI is professor at School of Mathematics, Yangzhou University in China. His research interests include Representation theory in Hopf algebras and Tensor category, Decoding theory and Ring theory, Weyl algebras and isomorphism problems, etc In English MATHEMATICS / Algebra / Abstract bisacsh Zhao, Kaiming aut https://doi.org/10.1051/978-2-7598-2916-3 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Li, Libin Zhao, Kaiming Introduction to Abstract Algebra MATHEMATICS / Algebra / Abstract bisacsh |
| title | Introduction to Abstract Algebra |
| title_auth | Introduction to Abstract Algebra |
| title_exact_search | Introduction to Abstract Algebra |
| title_exact_search_txtP | Introduction to Abstract Algebra |
| title_full | Introduction to Abstract Algebra Libin Li, Kaiming Zhao |
| title_fullStr | Introduction to Abstract Algebra Libin Li, Kaiming Zhao |
| title_full_unstemmed | Introduction to Abstract Algebra Libin Li, Kaiming Zhao |
| title_short | Introduction to Abstract Algebra |
| title_sort | introduction to abstract algebra |
| topic | MATHEMATICS / Algebra / Abstract bisacsh |
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