Ordinary Differential Equations with Applications

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book Ordinary Differential Equations with Applications by Sze-Bi Hsu, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Sze-Bi Hsu ISBN: 9789814452922
Publisher: World Scientific Publishing Company Publication: June 7, 2013
Imprint: WSPC Language: English
Author: Sze-Bi Hsu
ISBN: 9789814452922
Publisher: World Scientific Publishing Company
Publication: June 7, 2013
Imprint: WSPC
Language: English

During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE).

This useful book, which is based on the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and biology to illustrate the application of ODE theory and techniques.

Written in a straightforward and easily accessible style, this volume presents dynamical systems in the spirit of nonlinear analysis to readers at a graduate level and serves both as a textbook and as a valuable resource for researchers.

This new edition contains corrections and suggestions from the various readers and users. A new chapter on Monotone Dynamical Systems is added to take into account the new developments in ordinary differential equations and dynamical systems.

Contents:

  • Introduction
  • Fundamental Theory
  • Linear Systems
  • Stability of Nonlinear Systems
  • Method of Lyapunov Functions
  • Two-Dimensional Systems
  • Second Order Linear Equations
  • The Index Theory and Brouwer Degree
  • Perturbation Methods
  • Introduction to Monotone Dynamical Systems

Readership: Graduate students in mathematics, applied mathematics, and engineering.
Key Features:

  • Comprehensively presents the theory of ordinary differential equations
  • Many examples from mathematical models in physics and biology are presented to help the readers to understand the content of the theory and the applications in real world
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE).

This useful book, which is based on the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and biology to illustrate the application of ODE theory and techniques.

Written in a straightforward and easily accessible style, this volume presents dynamical systems in the spirit of nonlinear analysis to readers at a graduate level and serves both as a textbook and as a valuable resource for researchers.

This new edition contains corrections and suggestions from the various readers and users. A new chapter on Monotone Dynamical Systems is added to take into account the new developments in ordinary differential equations and dynamical systems.

Contents:

Readership: Graduate students in mathematics, applied mathematics, and engineering.
Key Features:

More books from World Scientific Publishing Company

Cover of the book 2030 Vision for ASEAN-China Strategic Partnership by Sze-Bi Hsu
Cover of the book An Introduction to Mathematical Billiards by Sze-Bi Hsu
Cover of the book Using Animal Models in Biomedical Research by Sze-Bi Hsu
Cover of the book Wireless Sensor and Robot Networks by Sze-Bi Hsu
Cover of the book Why Are You Always on the Phone? by Sze-Bi Hsu
Cover of the book Stock Markets, Investments and Corporate Behavior by Sze-Bi Hsu
Cover of the book Benoit Mandelbrot by Sze-Bi Hsu
Cover of the book Advanced Mathematical and Computational Tools in Metrology and Testing XI by Sze-Bi Hsu
Cover of the book Concepts for Molecular Machines by Sze-Bi Hsu
Cover of the book Erythrocytes by Sze-Bi Hsu
Cover of the book Our Lives to Live by Sze-Bi Hsu
Cover of the book Developing Life Skills Through Math and Science Games by Sze-Bi Hsu
Cover of the book Mathematics, Poetry and Beauty by Sze-Bi Hsu
Cover of the book Statistical Tests of Nonparametric Hypotheses by Sze-Bi Hsu
Cover of the book Physics Olympiad — Basic to Advanced Exercises by Sze-Bi Hsu
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy