産品展示 | 悅悅圖書 ● yueyuebook |悅淘好書·讀樂眾樂 |
基本信息 | 悅悅圖書 ● yueyuebook |悅淘好書·讀樂眾樂 |
商品名稱: | 代數 |
作 者: | [美] 亨格福德 |
定 價: | 49.00 |
重 量: | |
ISBN 號: | 9787506282291 |
齣 版 社: | 世界圖書齣版 |
開 本: | |
頁 數: | 502 |
字 數: | |
裝 幀: | |
齣版時間/版次: | 2006-10-01 |
印刷時間/印次: | 2006-10-01 |
編輯推薦 | 悅悅圖書 ● yueyuebook |悅淘好書·讀樂眾樂 |
內容介紹 | 悅悅圖書 ● yueyuebook |悅淘好書·讀樂眾樂 |
《代數》是Springer《數學研究生教材》第73捲,初版於1974年,30年來一直是美國及世界各國人學數學係采用的研究生代數教本。此書Springer已重印12次,由此證明這是一部經典的研究生教材。全書取材適中,論述清晰,自成體係。《代數》在一些問題的處理上有其獨到之處,如sylow定理的證明、伽羅瓦理論的處理、可分域的擴張,環的結構理論等。書中有大量的練習和精心挑選的例子。 |
作者介紹 | 悅悅圖書 ● yueyuebook |悅淘好書·讀樂眾樂 |
目錄 | 悅悅圖書 ● yueyuebook |悅淘好書·讀樂眾樂 |
Preface Acknowledgments Suggestions on the Use of This Book Introduction: Prerequisites and Preliminaries 1. Logic 2. Sets and Classes 3. Functions 4. Relations and Partitions 5. Products 6. The Integers 7. The Axiom of Choice, Order and Zorns Lemma 8. Cardinal Numbers Chapter I: Groups 1. Semigroups, Monoids and Groups 2. Homomorphisms and Subgroups 3. Cyclic.Groups 4. Cosets and Counting 5. Normality, Quotient Groups, and Homomorphisms 6. Symmetric, Alternating, and Dihedral Groups 7. Categories: Products, Coproducts, and Free Objects 8. Direct Products and Direct Sums 9, Free Groups, Free Products, Generators & Relations Chapter II: The Structure of Groups 1. Free Abelian Groups 2. Finitely Generated Abelian Groups 3. The Krull-Schmidt Theorem 4. The Action of a Group on a Set 5. The Sylow Theorems 6. Classification of Finite Groups 7. Nilpotent and Solvable Groups 8. Normal and Subnormal Series Chapter Ill: Rings 1. Rings and Homomorphisms 2. Ideals 3. Factorization in Commutative Rings 4. Rings of Quotients and Localization 5. Rings of Polynomials and Formal Power Series 6. Factorization in Polynomial Rings Chapter IV: Modules 1. Modules, Homomorphisms and Exact Sequences 2. Free Modules and Vector Spaces 3. Projective and Injective Modules 4. Hom and Duality 5. Tensor Products 6. Modules over a Principal Ideal Domain 7. Algebras. Chapter V: Fields and Galois Theory 1. Field Extensions Appendix: Ruler and Compass Constructions 2. The Fundamental Theorem Appendix: Symmetric Rational Functions 3. Splitting Fields, Algebraic Closure and Normality Appendix: The Fundamental Theorem of Algebra.. 4. The Galois Group of a Polynomial 5. Finite Fields 6. Separability: 7. Cyclic Extensions 8. Cyclotomic Extensions 9. Radical Extensions Appendix: The General Equation of Degree n Chapter VI: The Structure of Fields Chapter VII: Linear Algebra Chapter VIII: Commutative Rings and Modules Chapter IX: The Structure of Rings Chapter X: Categories List of Symbols Bibliography Index |
在綫試讀部分章節 | 悅悅圖書 ● yueyuebook |悅淘好書·讀樂眾樂 |
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