Ordinary Differential Equations with Applications, 3/e (Hardcover)
暫譯: 應用普通微分方程(第三版)(精裝本)

Sze-Bi Hsu, Kuo-Chang Chen

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商品描述

Written in a straightforward and easily accessible style, this volume is suitable as a textbook for advanced undergraduate or first-year graduate students in mathematics, physical sciences, and engineering. The aim is to provide students with a strong background in the theories of Ordinary Differential Equations, Dynamical Systems and Boundary Value Problems, including regular and singular perturbations. It is also a valuable resource for researchers.This volume presents an abundance of examples in physical and biological sciences, and engineering to illustrate the applications of the theorems in the text. Readers are introduced to some important theorems in Nonlinear Analysis, for example, Brouwer fixed point theorem and fundamental theorem of algebras. A chapter on Monotone Dynamical Systems takes care of the new developments in Ordinary Differential Equations and Dynamical Systems.In this third edition, an introduction to Hamiltonian Systems is included to enhance and complete its coverage on Ordinary Differential Equations with applications in Mathematical Biology and Classical Mechanics.

商品描述(中文翻譯)

本書以簡單易懂的風格撰寫,適合作為數學、物理科學和工程領域的高年級本科生或一年級研究生的教科書。其目的是為學生提供關於常微分方程、動力系統和邊值問題的理論的堅實基礎,包括常規和奇異擾動。這本書對研究人員來說也是一個寶貴的資源。本書提供了大量來自物理和生物科學以及工程的例子,以說明文本中定理的應用。讀者將接觸到一些非線性分析中的重要定理,例如布勞威固定點定理(Brouwer fixed point theorem)和代數基本定理(fundamental theorem of algebras)。有關單調動力系統的章節涵蓋了常微分方程和動力系統的新發展。在第三版中,新增了哈密頓系統(Hamiltonian Systems)的介紹,以增強和完善其在數學生物學和經典力學中應用的常微分方程的涵蓋範圍。