| | | 基礎代數(英文版) | 該商品所屬分類:自然科學 -> 數學 | 【市場價】 | 731-1060元 | 【優惠價】 | 457-663元 | 【介質】 | book | 【ISBN】 | 9787510094644 | 【折扣說明】 | 一次購物滿999元台幣免運費+贈品 一次購物滿2000元台幣95折+免運費+贈品 一次購物滿3000元台幣92折+免運費+贈品 一次購物滿4000元台幣88折+免運費+贈品
| 【本期贈品】 | ①優質無紡布環保袋,做工棒!②品牌簽字筆 ③品牌手帕紙巾
| |
版本 | 正版全新電子版PDF檔 | 您已选择: | 正版全新 | 溫馨提示:如果有多種選項,請先選擇再點擊加入購物車。*. 電子圖書價格是0.69折,例如了得網價格是100元,電子書pdf的價格則是69元。 *. 購買電子書不支持貨到付款,購買時選擇atm或者超商、PayPal付款。付款後1-24小時內通過郵件傳輸給您。 *. 如果收到的電子書不滿意,可以聯絡我們退款。謝謝。 | | | | 內容介紹 | |
-
出版社:世界圖書出版公司
-
ISBN:9787510094644
-
作者:(英)卡恩
-
頁數:465
-
出版日期:2015-05-01
-
印刷日期:2015-05-01
-
包裝:平裝
-
開本:24開
-
版次:1
-
印次:1
-
《基礎代數(英文版)》是P. M. Cohn(卡恩)的 經典的三卷集代數教材的修訂版第一卷,被廣大讀者 所追捧,公認為學習代數入門教材的傑出代表。本書 中涵蓋了代數的所有重要結果。讀者具備一定的線性 代數、群和域知識,對理解本書將更有益。本卷次的 目次:集合;群;格點和範疇;環和模;代數;多線 性代數;域論;二次型和有序域;賦值論;交換環; 無限域擴展。 讀者對像:數學專業的廣大師生。
-
Preface Conventions on Terminology 1.Sets 1.1 Finite, Countable and Uncountable Sets 1.2 Zom's Lemma and Well—ordered Sets 1.3 Graphs 2.Groups 2.1 Definition and Basic Properties 2.2 Permutation Groups 2.3 The Isomorphism Theorems 2.4 Soluble and Nilpotent Groups 2.5 Commutators 2.6 The Frattini Subgroup and the Fitting Subgroup 3.Lattices and Categories 3.1 Definitions; Modular and Distributive Lattices 3.2 Chain Conditions 3.3 Categories 3.4 Boolean Algebras 4.Rings and Modules 4.1 The Definitions Recalled 4.2 The Category of Modules over a Ring 4.3 Semisimple Modules 4.4 Matrix Rings 4.5 Direct Products of Rings 4.6 Free Modules 4.7 Projective and Injective Modules 4.8 The Tensor Product of Modules 4.9 Duality of Finite Abelian Groups 5.Algebras 5.1 Algebras; Definition and Examples 5.2 The Wedderbum Structure Theorems 5.3 The Radical 5.4 The Tensor Product of Algebras 5.5 The Regular Representation; Norm and Trace 5.6 M6bius Functions 6.Muhilinear Algebra 6.1 Graded Algebras 6.2 Free Algebras and Tensor Algebras 6.3 The Hilbert Series of a Graded Ring or Module 6.4 The Exterior Algebra on a Module 7.Field Theory 7.1 Fields and their Extensions 7.2 Splitting Fields 7.3 The Algebraic Closure of a Field 7.4 Separability 7.5 Automorphisms of Field Extensions 7.6 The Fundamental Theorem of Galois Theory 7.7 Roots of Unity 7.8 Finite Fields 7.9 Primitive Elements; Norm and Trace 7.10 Galois Theory of Equations 7.11 The Solution of Equations by Radicals 8.Quadratic Forms and Ordered Fields 8.1 Inner Product Spaces 8.2 Orthogonal Sums and Diagonalization 8.3 The Orthogonal Group of a Space 8.4 The Clifford Algebra and the Spinor Norm 8.5 Witt's Cancellation Theorem and the Witt Group of a Field 8.6 Ordered Fields 8.7 The Field of Real Numbers 8.8 Formally Real Fields 8.9 The Witt Ring of a Field 8.10 The Symplectic Group 8.11 Quadratic Forms in Characteristic Two 9.Valuation Theory 9.1 Divisibility and Valuations 9.2 Absolute Values 9.3 The p—adic Numbers 9.4 Integral Elements 9.5 Extension of Valuations 10.Commutative Rings 10.1 Operations on Ideals 10.2 Prime Ideals and Factorization 10.3 Localization 10.4 Noetherian Rings 10.5 Dedekind Domains 10.6 Modules over Dedekind Domains 10.7 Algebraic Equations 10.8 The Primary Decomposition 10.9 Dimension 10.10 The Hilbert Nullstellensatz 11.Infinite Field Extensions 11.1 Abstract Dependence Relations 11.2 Algebraic Dependence 11.3 Simple Transcendental Extensions 11.4 Separable and p—radical Extensions 11.5 Derivations 11.6 Linearly Disjoint Extensions 11.7 Composites of Fields 11.8 Infinite Algebraic Extensions 11.9 Galois Descent 11.10 Kummer Extensions Bibliography List of Notations Author Index Subject Index
| | | | | |