Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition 在線電子書 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
發表於2024-12-23
Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
First half only
評分語言很直覺話,適閤作為動力係統入門。不怎麼像是麵嚮數學專業的書,很多證明和錶述不那麼嚴密,不過定義倒是給得很好。學到瞭很多有趣的東西。 中英文版交替著看的。
評分圖非常多,直觀
評分圖非常多,直觀
評分First half only
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
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...
評分《蝴蝶效应之谜:走近分形与混沌》http://book.douban.com/subject/24844888/ 有一首翻译的英文诗:“钉子缺,蹄铁卸;蹄铁卸,战马蹶;战马蹶,骑士绝;骑士绝,战事折;战事折,国家灭。” 苏轼诗:“斫得龙光竹两竿,持归岭北万人看。竹中一滴曹溪水,涨起西江十八滩。” ...
評分是书分三部分 第一至六章线性动力系统 第七到十三章非线性动力系统及各领域应用 第十四至十六章混沌系统 最后一章像附录 差不多三十年后,修订版引入新作者Denvery,由他撰写混沌部分。 习题是正文一部分,建议认真作大部分习题,对理解很有助益。在删改过程中,衔接的不好,有...
評分《蝴蝶效应之谜:走近分形与混沌》http://book.douban.com/subject/24844888/ 有一首翻译的英文诗:“钉子缺,蹄铁卸;蹄铁卸,战马蹶;战马蹶,骑士绝;骑士绝,战事折;战事折,国家灭。” 苏轼诗:“斫得龙光竹两竿,持归岭北万人看。竹中一滴曹溪水,涨起西江十八滩。” ...
評分这本书刚读完一半,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...
Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024