| 词条 | 国外数学名著系列55:几何1 |
| 释义 | 图书信息出版社: 科学出版社; 第1版 (2009年1月1日) 丛书名: 国外数学名著系列（续一）（影印版）55 精装: 264页 正文语种: 简体中文 开本: 16 ISBN: 9787030234988 条形码: 9787030234988 尺寸: 24 x 17 x 1.8 cm 重量: 581 g 作者简介作者：(俄罗斯)加姆克列利泽 (Gamkrelidze R.V.) 内容简介《国外数学名著系列(续1)(影印版)55:几何1(微分几何基本思想与概念)》主要内容：Since the early work of Gauss and Riemann, differential geometry has grown into a vast network of ideas and approaches, encompassing local considerations such as differential invariants and jets as well as global ideas, such as Morse theory and characteristic classes. In this volume of the Encyclopaedia, the authors give a tour of the principal areas and methods of modern differential geometry. The book is structured so that the reader may choose parts of the text to read and still take away a completed picture of some area of differential geometry Beginning at the introductory level with curves in Euclidean space, the sections become more challenging, arriving finally at the advanced topics which form the greatest part of the book:transformation groups, the geometry of differential equations,geometric structures, the equivalence problem the geometry of elliptic operators, G-structures and contact geometry. As an overview of the major current methods of differential geometry, EMS 28 is a map of these different ideas which explains the interesting points at every stop. The authors' intention is that the reader should gain a new understanding of geometry from the process of reading this survey. 目录Preface Chapter1.Introduction:AMetamathematicalViewofDifferentialGeometry 1.AlgebraandGeometry-theDualityoftheIntellect 2.TwoExamples:AlgebraicGeometry,PropositionalLogicandSetTheory 3.OntheHistoryofGeometry 4.DifferentialCalculusandCommutativeAlgebra 5.WhatisDifferentialGeometry? Chapter2.TheGeometryofSurfaces Chapter3.TheFieldApproachofRiemann Chapter4.TheGroupApproachofLieandKlein.TheGeometryofTransformationGroups Chapter5.TheGeometryofDifferentialEquations Chapter6.GeometricStructures Chapter7.TheEquivalenceProblem,DifferentialInvariantsandPseudogroups Chapter8.GlobalAspectsofDifferentialGeometry CommentaryontheReferences References AuthorIndex SubjectIndex |
| 随便看 |
百科全书收录4421916条中文百科知识，基本涵盖了大多数领域的百科知识，是一部内容开放、自由的电子版百科全书。