دانلود کتاب A first course in dynamics

فهرست مطالب :

Cover......Page 1
Abstract......Page 2
Title......Page 4
Copyright......Page 5
Contents......Page 6
Preface......Page 10
1 Introduction......Page 12
Part 1. A course in dynamics: from simple to complicated behavior......Page 40
2 Systems with Stable Asymptotic Behavior......Page 42
3 Linear Maps and Linear Differential Equations......Page 84
4 Recurrence and Equidistribution on the Circle......Page 107
5 Recurrence and Equidistribution in Higher Dimension......Page 154
6 Conservative Systems......Page 166
7 Simple Systems with Complicated\rOrbit Structure......Page 207
8 Entropy and Chaos......Page 253
Part 2. Panorama of dynamical systems......Page 268
9 Simple Dynamics as a Tool......Page 270
10 Hyperbolic Dynamics......Page 290
11 Quadratic Maps......Page 310
12 Homoclinic Tangles......Page 329
13 Strange Attractors......Page 342
14 Variational Methods, Twist Maps,\rand Closed Geodesics......Page 353
15 Dynamics, Number Theory, and Diophantine\rApproximation......Page 376
Reading......Page 397
Appendix......Page 400
Hints and Answers......Page 419
Solutions......Page 425
Index......Page 430