Working with Dynamical Systems: A Toolbox for Scientists and Engineers
暫譯: 動態系統的應用:科學家與工程師的工具箱

Pismen, Len

  • 出版商: CRC
  • 出版日期: 2020-12-16
  • 售價: $5,510
  • 貴賓價: 9.5$5,235
  • 語言: 英文
  • 頁數: 236
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1138591718
  • ISBN-13: 9781138591714
  • 海外代購書籍(需單獨結帳)

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商品描述

This book provides working tools for the study and design of nonlinear dynamical systems applicable in physics and engineering. It offers a broad-based introduction to this challenging area of study, taking an applications-oriented approach that emphasizes qualitative analysis and approximations rather than formal mathematics or simulation. The author, an internationally recognized authority in the field, makes extensive use of examples and includes executable Mathematica notebooks that may be used to generate new examples as hands-on exercises. The coverage includes discussion of mechanical models, chemical and ecological interactions, nonlinear oscillations and chaos, forcing and synchronization, spatial patterns and waves.

Key Features:

- Written for a broad audience, avoiding dependence on mathematical formulations in favor of qualitative, constructive treatment.

- Extensive use of physical and engineering applications.

- Incorporates Mathematica notebooks for simulations and hands-on self-study.

- Provides a gentle but rigorous introduction to real-world nonlinear problems.

- Features a final chapter dedicated to applications of dynamical systems to spatial patterns.

The book is aimed at student and researchers in applied mathematics and mathematical modelling of physical and engineering problems. It teaches to see common features in systems of different origins, and to apply common methods of study without losing sight of complications and uncertainties related to their physical origin.

商品描述(中文翻譯)

這本書提供了研究和設計非線性動態系統的實用工具,適用於物理學和工程學。它對這一具有挑戰性的研究領域提供了廣泛的介紹,採取以應用為導向的方法,強調定性分析和近似,而非正式的數學或模擬。作者是該領域的國際知名權威,廣泛使用範例,並包含可執行的Mathematica筆記本,這些筆記本可用於生成新的範例作為實作練習。內容涵蓋了機械模型、化學和生態互動、非線性振盪和混沌、強迫和同步、空間模式和波動的討論。

主要特點:

- 針對廣泛的讀者群撰寫,避免依賴數學公式,而是採用定性和建設性的處理方式。
- 廣泛使用物理和工程應用。
- 包含Mathematica筆記本以進行模擬和實作自學。
- 提供對現實世界非線性問題的溫和但嚴謹的介紹。
- 最後一章專門討論動態系統在空間模式中的應用。

本書旨在針對應用數學及物理和工程問題的數學建模的學生和研究人員。它教導讀者在不同來源的系統中看到共同特徵,並應用共同的研究方法,同時不忽視與其物理來源相關的複雜性和不確定性。

作者簡介

Len Pismen is Emeritus Professor of Fluid Mechanics at the Technion - Israel Institute of Technology. His other books include Vortices in Nonlinear Fields (1999), Patterns and Interfaces in Dissipative Dynamics (2006), and general audience books The Swings of Science (2018) and Morphogenesis Deconstructed (2020).

作者簡介(中文翻譯)

Len Pismen 是以色列科技學院(Technion - Israel Institute of Technology)流體力學的名譽教授。他的其他著作包括《非線性場中的渦旋》(Vortices in Nonlinear Fields,1999年)、《耗散動力學中的模式與介面》(Patterns and Interfaces in Dissipative Dynamics,2006年),以及面向一般讀者的書籍《科學的擺動》(The Swings of Science,2018年)和《形態生成解構》(Morphogenesis Deconstructed,2020年)。