《ORDINARY DIFFERENTIAL EQUATIONS》求取 ⇩

作者 V.I.ARNOLD 编者
出版 THE MASSACHUSETTS INSTITUTE OF TECHNOLOGY
参考页数 280   ✅ 真实服务 非骗流量  ❤️
出版时间 1973（求助前请核对）  目录预览
ISBN号 0262010372 — 违规投诉 / 求助条款
PDF编号 813666368（学习资料 勿作它用）
求助格式 扫描PDF（若分多册发行，每次仅能受理1册）
ORDINARY DIFFERENTIAL EQUATIONS 1973 PDF电子版封面 0262010372 V.I.ARNOLD

1 Basic Concepts1

1 Phase Spaces and Phase Flows1

2 Vector Fields on the Line11

3 Phase Flows on the Line19

4 Vector Fields and Phase Flows in the Plane24

5 Nonautonomous Equations28

6 The Tangent Space33

2 Basic Theorems48

7 The Vector Field near a Nonsingular Point48

8 Applications to the Nonautonomous Case56

9 Applications to Equations of Higher Order59

10 Phase Curves of Autonomous Systems68

11 The Directional Derivative.First Integrals72

12 Conservative Systems with One Degree of Freedom79

3 Linear Systems95

13 Linear Problems95

14 The Exponential of an Operator97

15 Properties of the Exponential104

16 The Determinant of the Exponential111

17 The Case of Distinct Real Eigenvalues115

18 Complexification and Decomplexification119

19 Linear Equations with a Complex Phase Space124

20 Complexification of a Real Linear Equation129

21 Classification of Singular Points of Linear Systems139

22 Topological Classification of Singular Points143

23 Stability of Equilibrium Positions154

24 The Case of Purely Imaginary Eigenvalues160

25 The Case of Multiple Eigenvalues167

26 More on Quasi-Polynomials176

27 Nonautonomous Linear Equations188

28 Linear Equations with Periodic Coefficients199

29 Variation of Constants208

4 Proofs of the Basic Theorems211

30 Contraction Mappings211

31 The Existence, Uniqueness, and Continuity Theorems213

32 The Differentiability Theorem223

5 Differential Equationson Manifolds233

33 Differentiable Manifolds233

34 The Tangent Bundle.Vector Fields on a Manifold243

35 The Phase Flow Determined by a Vector Field250

36 The Index of a Singular Point of a Vector Field254

Sample Examination Problems269

Bibliography273

Index275

1973《ORDINARY DIFFERENTIAL EQUATIONS》由于是年代较久的资料都绝版了，几乎不可能购买到实物。如果大家为了学习确实需要，可向博主求助其电子版PDF文件（由V.I.ARNOLD 1973 THE MASSACHUSETTS INSTITUTE OF TECHNOLOGY 出版的版本） 。对合法合规的求助，我会当即受理并将下载地址发送给你。

高度相关资料

Ordinary differential equations（1998 PDF版）
Ordinary differential equations
1998 World Pub.Corp.
ORDINARY DIFFERENTIAL EQUATIONS（1969年第2版 PDF版）
ORDINARY DIFFERENTIAL EQUATIONS
1969年第2版 JOHN WILEY & SONS NEW YORK
ORDINARY DIFFERENTIAL EQUATIONS（1969 PDF版）
ORDINARY DIFFERENTIAL EQUATIONS
1969 JOHN WILEY & SONS NEW YORK
INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS（1980 PDF版）
INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS
1980 JOHN WILEY SONS
SONATE FUR VIOLONCELLO SOLO=仁契：大提琴奏鸣曲（7 PDF版）
SONATE FUR VIOLONCELLO SOLO=仁契：大提琴奏鸣曲
7 COLLECTION LITOLFF
Nonlinear ordinary differential equations（1977 PDF版）
Nonlinear ordinary differential equations
1977 Clarendon Press
Ordinary differential equations（1971 PDF版）
Ordinary differential equations
1971 Holden-Day
Introduction to ordinary differential equations /（1982 PDF版）
Introduction to ordinary differential equations /
1982 Harcourt Brace Jovanovich
Ordinary differential equations Second Edition（1980 PDF版）
Ordinary differential equations Second Edition
1980 R.E.Krieger Pub.Co.
Ordinary differential equations（1926 PDF版）
Ordinary differential equations
1926 Dover Publications
Ordinary differential equations（1978 PDF版）
Ordinary differential equations
1978 Elsevier North-Holland
Ordinary and delay differential equations（1977 PDF版）
Ordinary and delay differential equations
1977 Springer-Verlag
Ordinary differential equations and stability theory（1980 PDF版）
Ordinary differential equations and stability theory
1980 Tata McGraw-Hill
ORDINARY DIFFERENTIAL EQUATIONS（1973 PDF版）
ORDINARY DIFFERENTIAL EQUATIONS
1973 THE MASSACHUSETTS INSTITUTE OF TECHNOLOGY
LECTURES ON ORDINARY DIFFERENTIAL EQUATIONS（1970 PDF版）
LECTURES ON ORDINARY DIFFERENTIAL EQUATIONS
1970 ACADEMIC PRESS

提示：百度云已更名为百度网盘（百度盘），天翼云盘、微盘下载地址……暂未提供。➥ PDF文字可复制化或转WORD