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Sprache:
Englisch
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Beschreibung
This textbook focuses on the basics and complex themes of group theory taught to senior undergraduate mathematics students across universities. The contents focus on the properties of groups, subgroups, cyclic groups, permutation groups, cosets and Lagrange's theorem, normal subgroups and factor groups, group homomorphisms and isomorphisms, automorphisms, direct products, group actions and Sylow theorems. Pedagogical elements such as end of chapter exercises and solved problems are included to help understand abstract notions. Intermediate lemmas are also carefully designed so that they not only serve the theorems but are also valuable independently. The book is a useful reference to undergraduate and graduate students besides academics.
This textbook focuses on the basics and complex themes of group theory taught to senior undergraduate mathematics students across universities. The contents focus on the properties of groups, subgroups, cyclic groups, permutation groups, cosets and Lagrange's theorem, normal subgroups and factor groups, group homomorphisms and isomorphisms, automorphisms, direct products, group actions and Sylow theorems. Pedagogical elements such as end of chapter exercises and solved problems are included to help understand abstract notions. Intermediate lemmas are also carefully designed so that they not only serve the theorems but are also valuable independently. The book is a useful reference to undergraduate and graduate students besides academics.
Über den Autor
Prof. Dinesh Khattar is currently principal of Kirori Mal College, University of Delhi. He topped (Gold Medalist) both in his [...]. and [...]. exams of Delhi University. He received Dr. S. Radhakrishnan Memorial National Teacher's Award 2015 for his contribution in the field of education. He was also awarded the prestigious Commonwealth Scholarship for pursuing research in the UK. He is actively involved in research and has presented papers in prestigious international conferences across the globe. Dr. Khattar has been a member of curriculum development committee for [...]. and [...]. programs at various universities including the University of Delhi. He is also an author of many books on Mathematics.
Dr. Neha Agrawal completed her education from Kirori Mal College, University of Delhi, and pursued her [...]. and Ph.D. from University of Delhi. Her areas of interest are nonlinear dynamical systems and chaos theory. She is working as an assistant professor at the Department ofMathematics, Kirori Mal College, University of Delhi. She has a rich teaching experience of over 13 years. She has published several research papers in reputed international journals.
Dr. Neha Agrawal completed her education from Kirori Mal College, University of Delhi, and pursued her [...]. and Ph.D. from University of Delhi. Her areas of interest are nonlinear dynamical systems and chaos theory. She is working as an assistant professor at the Department ofMathematics, Kirori Mal College, University of Delhi. She has a rich teaching experience of over 13 years. She has published several research papers in reputed international journals.
Inhaltsverzeichnis
Group.- Finite Groups and Subgroups.- Cyclic Groups.- Permutation Groups.- Cosets and Lagrange's Theorem.- Normal Subgroups and Factor Groups.- Group Homomorphism and Isomorphism.- Automorphisms.- Direct Products.- Group Actions.- Sylow Theorems.
Details
| Erscheinungsjahr: | 2025 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Thema: | Lexika |
| Medium: | Taschenbuch |
| Inhalt: |
xiii
329 S. 1 s/w Illustr. 329 p. 1 illus. |
| ISBN-13: | 9783031213090 |
| ISBN-10: | 3031213092 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Khattar, Dinesh
Agrawal, Neha |
| Hersteller: |
Springer
Springer International Publishing AG |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 240 x 168 x 19 mm |
| Von/Mit: | Dinesh Khattar (u. a.) |
| Erscheinungsdatum: | 02.04.2025 |
| Gewicht: | 0,578 kg |