Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition pdf epub mobi txt 電子書下載2025

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出版者:Academic Press

作者:Morris W. Hirsch

出品人:

頁數:425

译者:

出版時間:2003-11-5

價格:USD 109.00

裝幀:Hardcover

isbn號碼:9780123497031

叢書系列:

圖書標籤:

數學
微分方程
動力係統
Mathematics
交叉學科
動態係統
mathematics
金融

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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