*完成訂單後正常情形下約兩周可抵台。 *本賣場提供之資訊僅供參考,以到貨標的為正確資訊。 印行年月:202307*若逾兩年請先於私訊洽詢存貨情況,謝謝。 台灣(台北市)在地出版社,每筆交易均開具統一發票,祝您中獎最高1000萬元。 書名:俄羅斯數學經典-沙法列維奇代數幾何基礎教程 (第1卷) (第3版) ISBN:9787519296636 出版社:世界圖書出版公司 著編譯者:(俄)I.R.Shafarevich 頁數:310 所在地:中國大陸 *此為代購商品 書號:1556490 可大量預訂,請先連絡。 【台灣高等教育出版社簡體書】 俄羅斯數學經典-沙法列維奇代數幾何基礎教程 (第1卷) (第3版) 787519296636 (俄)I.R.Shafarevich 內容簡介 本書是沙法列維奇代數幾何基礎教程的第1卷。本書作者沙法列維奇是當代著名數學家,被譽為蘇聯數學三巨頭之一,他建立了為世人矚目的蘇聯代數幾何和代數數論學派。他的代數幾何基礎教程(俄文版1972年初版,英文版1977年初版)問世五十多年來,歷經三版修訂,一直被視為一部重要的代數幾何經典名著。與同類教材相比,該教程內容全面詳盡,注重給出抽象理論的幾何背景和起源,並配有充分反映幾何本質的實例和圖解。本書所需預備知識僅限於代數基礎,是高年級本科生和研究生學習代數幾何的首選教材。該教程的第3版分為兩卷,第1卷討論射影空間中的簇,第2卷討論概形和複流形。目錄 Book 1: Varieties in Projective Space1 Basic Notions 1 Algebraic Curves in the Plane 1 1 Plane Curves 1 2 Rational Curves 1 3 Relation with Field Theory 1 4 Rational Maps 1 5 Singular and Nonsingular Points 1 6 The Projective Plane 1 7 Exercises to Section 1 2 Closed Subsets of Affine Space 2 1 Definition of Closed Subsets 2 2 Regular Functions on a Closed Subset 2 3 Regular Maps 2 4 Exercises to Section 2 3 Rational Functions 3 1 Irreducible Algebraic Subsets 3 2 Rational Functions 3 3 Rational Maps 3 4 Exercises to Section 3 4 Quasiprojective Varieties 4 1 Closed Subsets of Projective Space 4 2 Regular Functions 4 3 Rational Functions 4 4 Examples of Regular Maps 4 5 Exercises to Section 4 5 Products and Maps of Quasiprojective Varieties 5 1 Products 5 2 The Image of a Projective Variety is Closed 5 3 Finite Maps 5 4 Noether Normalisation 5 5 Exercises to Section 5 6 Dimension 6 1 Definition of Dimension 6 2 Dimension of Intersection with a Hypersurface 6 3 The Theorem on the Dimension of Fibres 6 4 Lines on Surfaces 6 5 Exercises to Section 6 2 Local Properties 1 Singular and Nonsingular Points 1 1 The Local Ring of a Point 1 2 The Tangent Space 1 3 Intrinsic Nature of the Tangent Space 1 4 Singular Points 1 5 The Tangent Cone 1 6 Exercises to Section 1 2 Power Series Expansions 2 1 Local Parameters at a Point 2 2 Power Series Expansions 2 3 Varieties over the Reals and the Complexes 2 4 Exercises to Section 2 3 Properties of Nonsingular Points 3 1 Codimension 1 Subvarieties 3 2 Nonsingular Subvarieties 3 3 Exercises to Section 3 4 The Structure of Birational Maps 4 1 Blowup in Projective Space 4 2 Local Blowup 4 3 Behaviour of a Subvariety Under a Blowup 4 4 Exceptional Subvarieties 4 5 Isomorphism and Birational Equivalence 4 6 Exercises to Section 4 5 Normal Varieties 5 1 Normal Varieties 5 2 Normalisation of an Affine Variety 5 3 Normalisation of a Curve 5 4 Projective Embedding of Nonsingular Varieties 5 5 Exercises to Section 5 6 Singularities of a Map 6 1 Irreducibility 6 2 Nonsingularity 6 3 Ramification 6 4 Examples 6 5 Exercises to Section 6 Book 2: Schemes and Varieties Book 3: Complex Algebraic Varieties and Complex Manifolds 詳細資料或其他書籍請至台灣高等教育出版社查詢,查後請於PChome商店街私訊告知ISBN或書號,我們即儘速上架。 |