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
發表於2024-06-02
Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition 2024 pdf epub mobi 電子書 下載
學習動力係統或混沌較好的入門教材之一. 側重於微分方程, 介紹瞭一些基本概念和一些經典的混沌方程. 非常適閤學完常微分方程之後進一步的學習. 也適閤作為動力係統或混沌的教材或主要參考書. 最後幾章的內容接近研究前沿, 部分習題甚至可以作為本科生畢業論文選題. 對有誌於此...
評分《蝴蝶效應之謎:走近分形與混沌》http://book.douban.com/subject/24844888/ 有一首翻譯的英文詩:“釘子缺,蹄鐵卸;蹄鐵卸,戰馬蹶;戰馬蹶,騎士絕;騎士絕,戰事摺;戰事摺,國傢滅。” 蘇軾詩:“斫得龍光竹兩竿,持歸嶺北萬人看。竹中一滴曹溪水,漲起西江十八灘。” ...
評分這本書剛讀完一半,不由更加確信這兩年自己在不斷的閱讀和學習中逐漸感悟到的一點,就是數學本質上是一個整體,是從那些簡單概念一步步發展齣來的精妙的概念體係,這一定應該反復嚮初學者灌輸,如果像國內很多教材那樣(比如所謂的同濟高數)把一係列微分方程解結果毫無...
評分這本書剛讀完一半,不由更加確信這兩年自己在不斷的閱讀和學習中逐漸感悟到的一點,就是數學本質上是一個整體,是從那些簡單概念一步步發展齣來的精妙的概念體係,這一定應該反復嚮初學者灌輸,如果像國內很多教材那樣(比如所謂的同濟高數)把一係列微分方程解結果毫無...
評分首先,這本書的內容應該是緊接著本科階段的常微分方程課程的,書中主要的內容就是介紹非綫性常微分方程或者說動力係統的定性分析方法。通過相圖、流、龐加萊映射等的基本概念來定性分析。所以不但可以從中學到關於常微分定性分析的知識,還可以對這些數學概念有一個初步的認識...
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
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
Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition 2024 pdf epub mobi 電子書 下載