《Differential Equations, Dynamical Systems, and an Introduction to Chaos, Third Edition》

Differential Equations, Dynamical Systems, and an Introduction to Chaos, Third Editiontxt，chm，pdf，epub，mobi下载
作者: Morris W. Hirsch / Stephen Smale / Robert L. Devaney
出版社: Academic Press
出版年: 2012-3-26
页数: 432
定价: USD 99.95
装帧: Hardcover
ISBN: 9780123820105

内容简介  · · · · · ·

Hirsch, Devaney, and Smale's classic Differential Equations, Dynamical Systems,and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations. It provides a theoretical approach to dynamical systems and chaos written for a diverse student population among the fields of mathematics, scie...

Hirsch, Devaney, and Smale's classic Differential Equations, Dynamical Systems,and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations. It provides a theoretical approach to dynamical systems and chaos written for a diverse student population among the fields of mathematics, science, and engineering. Prominent experts provide everything students need to know about dynamical systems as students seek to develop sufficient mathematical skills to analyze the types of differential equations that arise in their area of study. The authors provide rigorous exercises and examples clearly and easily by slowly introducing linear systems of differential equations. Calculus is required as specialized advanced topics not usually found in elementary differential equations courses are included, such as exploring the world of discrete dynamical systems and describing chaotic systems. Classic text bythree of the world's most prominent mathematicians Continues the tradition of expository excellence Contains updated material and expanded applications for use in applied studies

目录  · · · · · ·

Front Matter, Page i
Copyright, Page ii
Preface to Third Edition, Page ix
Preface, Pages xi-xiv
1 - First-Order Equations, Pages 1-19
2 - Planar Linear Systems, Pages 21-38
· · · · · · ()
Front Matter, Page i
Copyright, Page ii
Preface to Third Edition, Page ix
Preface, Pages xi-xiv
1 - First-Order Equations, Pages 1-19
2 - Planar Linear Systems, Pages 21-38
3 - Phase Portraits for Planar Systems, Pages 39-59
4 - Classification of Planar Systems, Pages 61-72
5 - Higher-Dimensional Linear Algebra, Pages 73-105
6 - Higher-Dimensional Linear Systems, Pages 107-138
7 - Nonlinear Systems, Pages 139-157
8 - Equilibria in Nonlinear Systems, Pages 159-186
9 - Global Nonlinear Techniques, Pages 187-212
10 - Closed Orbits and Limit Sets, Pages 213-232
11 - Applications in Biology, Pages 233-255
12 - Applications in Circuit Theory, Pages 257-276
13 - Applications in Mechanics, Pages 277-303
14 - The Lorenz System, Pages 305-328
15 - Discrete Dynamical Systems, Pages 329-359
16 - Homoclinic Phenomena, Pages 361-384
17 - Existence and Uniqueness Revisited, Pages 385-409
Bibliography, Pages 411-413
Index, Pages 415-418
· · · · · · ()