Algebraic Number Theory
Seiten
2016
|
2nd Revised edition
Alpha Science International Ltd (Verlag)
978-1-78332-208-4 (ISBN)
Alpha Science International Ltd (Verlag)
978-1-78332-208-4 (ISBN)
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Algebraic Number Theory
ALGEBRAIC NUMBER THEORY gives concisely both the fundamental and deepgoing theory, starting from the succinct ideal theory (Chapt. 1-3), turning then to valuation theory and local completion field (Chapt.4-5) which is the base of modern approach. Then after specific discussions on class numbers, units, quadratic and cyclotomic fields, and analytical theory (Chapt.6-8), the important class field theory (Chap.9) is expounded and algebraic function field (Chapt.10) is sketched. This book is based on the study and lectures of the author at several universities.
ALGEBRAIC NUMBER THEORY gives concisely both the fundamental and deepgoing theory, starting from the succinct ideal theory (Chapt. 1-3), turning then to valuation theory and local completion field (Chapt.4-5) which is the base of modern approach. Then after specific discussions on class numbers, units, quadratic and cyclotomic fields, and analytical theory (Chapt.6-8), the important class field theory (Chap.9) is expounded and algebraic function field (Chapt.10) is sketched. This book is based on the study and lectures of the author at several universities.
Foreword / Prerequisites / Fields and Rings / Noetherian Rings and Dedekind Domains / Prime Decompositions in Extensions / Valuation Theory and Completions / Local Fields and Applications / Global Fields: Class Numbers and Units / Quadratic Fields and Cyclotomic Fields / Analytical Theory and Characters / Idele and Class Field Theory / Algebraic Function Fields / Forms / Bibiography / Index
| Erscheint lt. Verlag | 30.6.2016 |
|---|---|
| Verlagsort | Oxford |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| ISBN-10 | 1-78332-208-X / 178332208X |
| ISBN-13 | 978-1-78332-208-4 / 9781783322084 |
| Zustand | Neuware |
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