Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition pdf epub mobi txt 电子书下载 2025

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出版者:Academic Press

作者:Morris W. Hirsch

出品人:

页数:425

译者:

出版时间:2003-11-5

价格:USD 109.00

装帧:Hardcover

isbn号码:9780123497031

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数学
微分方程
动力系统
Mathematics
交叉学科
動態系統
mathematics
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Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra.

The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of the Field's Medal for his work in dynamical systems.

* Developed by award-winning researchers and authors

* Provides a rigorous yet accessible introduction to differential equations and dynamical systems

* Includes bifurcation theory throughout

* Contains numerous explorations for students to embark upon

NEW IN THIS EDITION

* New contemporary material and updated applications

* Revisions throughout the text, including simplification of many theorem hypotheses

* Many new figures and illustrations

* Simplified treatment of linear algebra

* Detailed discussion of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor

* Increased coverage of discrete dynamical systems

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这本书刚读完一半，不由更加确信这两年自己在不断的阅读和学习中逐渐感悟到的一点，就是数学本质上是一个整体，是从那些简单概念一步步发展出来的精妙的概念体系，这一定应该反复向初学者灌输，如果像国内很多教材那样（比如所谓的同济高数）把一系列微分方程解结果毫无...

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评分☆☆☆☆☆

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