Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition 2024 pdf epub mobi 电子书

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发表于2024-05-19

Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition 2024 pdf epub mobi 电子书

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《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。” ...

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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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学习动力系统或混沌较好的入门教材之一. 侧重于微分方程, 介绍了一些基本概念和一些经典的混沌方程. 非常适合学完常微分方程之后进一步的学习. 也适合作为动力系统或混沌的教材或主要参考书. 最后几章的内容接近研究前沿, 部分习题甚至可以作为本科生毕业论文选题. 对有志于此...

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首先，这本书的内容应该是紧接着本科阶段的常微分方程课程的，书中主要的内容就是介绍非线性常微分方程或者说动力系统的定性分析方法。通过相图、流、庞加莱映射等的基本概念来定性分析。所以不但可以从中学到关于常微分定性分析的知识，还可以对这些数学概念有一个初步的认识...

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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

丛书系列:

图书标签: 数学微分方程动力系统 Mathematics 交叉学科動態系統 mathematics 金融

Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition 2024 pdf epub mobi 电子书图书描述

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

Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition 2024 pdf epub mobi 电子书

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Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition 2024 pdf epub mobi 用户评价

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语言很直觉话，适合作为动力系统入门。不怎么像是面向数学专业的书，很多证明和表述不那么严密，不过定义倒是给得很好。学到了很多有趣的东西。中英文版交替着看的。

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定性常微理论必读

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First half only

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定性常微理论必读

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Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition 2024 pdf epub mobi 电子书

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