《幾何·Ⅰ·微分幾何基本思想與概念》是2009年科學出版社出版的圖書，作者是R. V. Gamkrelidze。
基本介紹
- 中文名：幾何·Ⅰ·微分幾何基本思想與概念
- 作者：R. V. Gamkrelidze
- 出版社：科學出版社
- 出版時間：2009年1月
- ISBN：9787030234988
圖書目錄
- Preface
- Chapter 1 Introduction: A Metamathematical View of Differential Geometry
- Chapter 2 The Geometry of Surfaces
- Chapter 3 The Field Approach of Riemann
- Chapter 4 The Group Approach of Lie and Klein.The Geometry of Transformation Groups
- Chapter 5 The Geometry of DifferentialE quations
- Chapter 6 Geometric Structures
- Chapter 7 The Equivalence Problem, Differential Invariants and Pseudogroups
- Chapter 8 Global Aspects of Differential Geometry
- Commentary on the References
- References
- Author Index
- Subject Index
- 2.1. Contact Structure on J<sup>1</sup>
- 2.2. Generalized Solutions and Integral Manifolds of the Contact Structure
- 2.3. Contact Transformations
- 2.4. Contact Vector Fields
- 2.5. The Cauchy Problem
- 2.6. Symmetries.Local Equivalence
- 6.1. Polar Systems, Characters and Genres
