Ordinary Differential Equations with Applications
Title | Ordinary Differential Equations with Applications PDF eBook |
Author | Sze-Bi Hsu |
Publisher | World Scientific |
Pages | 258 |
Release | 2006 |
Genre | Mathematics |
ISBN | 9812563199 |
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 around 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 or as a valuable resource for researchers.
Ordinary Differential Equations with Applications
Title | Ordinary Differential Equations with Applications PDF eBook |
Author | Carmen Chicone |
Publisher | Springer Science & Business Media |
Pages | 569 |
Release | 2008-04-08 |
Genre | Mathematics |
ISBN | 0387226230 |
Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second semester, these ideas can be expanded by introducing more advanced concepts and applications. A central theme in the book is the use of Implicit Function Theorem, while the latter sections of the book introduce the basic ideas of perturbation theory as applications of this Theorem. The book also contains material differing from standard treatments, for example, the Fiber Contraction Principle is used to prove the smoothness of functions that are obtained as fixed points of contractions. The ideas introduced in this section can be extended to infinite dimensions.
Differential Equations
Title | Differential Equations PDF eBook |
Author | George Finlay Simmons |
Publisher | |
Pages | 465 |
Release | 1972 |
Genre | Differential equations |
ISBN |
A Course in Ordinary Differential Equations
Title | A Course in Ordinary Differential Equations PDF eBook |
Author | Stephen A. Wirkus |
Publisher | CRC Press |
Pages | 689 |
Release | 2006-10-23 |
Genre | Mathematics |
ISBN | 1420010417 |
The first contemporary textbook on ordinary differential equations (ODEs) to include instructions on MATLAB, Mathematica, and Maple A Course in Ordinary Differential Equations focuses on applications and methods of analytical and numerical solutions, emphasizing approaches used in the typical engineering, physics, or mathematics student's field o
Modern Elementary Differential Equations
Title | Modern Elementary Differential Equations PDF eBook |
Author | Richard Bellman |
Publisher | Courier Corporation |
Pages | 260 |
Release | 1995-01-01 |
Genre | Mathematics |
ISBN | 9780486686431 |
Designed to introduce students to the theory and applications of differential equations and to help them formulate scientific problems in terms of such equations, this undergraduate-level text emphasizes applications to problems in biology, economics, engineering, and physics. This edition also includes material on discontinuous solutions, Riccati and Euler equations, and linear difference equations.
Differential Equations and Their Applications
Title | Differential Equations and Their Applications PDF eBook |
Author | M. Braun |
Publisher | Springer Science & Business Media |
Pages | 733 |
Release | 2013-06-29 |
Genre | Mathematics |
ISBN | 1475749694 |
For the past several years the Division of Applied Mathematics at Brown University has been teaching an extremely popular sophomore level differential equations course. The immense success of this course is due primarily to two fac tors. First, and foremost, the material is presented in a manner which is rigorous enough for our mathematics and ap plied mathematics majors, but yet intuitive and practical enough for our engineering, biology, economics, physics and geology majors. Secondly, numerous case histories are given of how researchers have used differential equations to solve real life problems. This book is the outgrowth of this course. It is a rigorous treatment of differential equations and their appli cations, and can be understood by anyone who has had a two semester course in Calculus. It contains all the material usually covered in a one or two semester course in differen tial equations. In addition, it possesses the following unique features which distinguish it from other textbooks on differential equations.
Handbook of Exact Solutions for Ordinary Differential Equations
Title | Handbook of Exact Solutions for Ordinary Differential Equations PDF eBook |
Author | Valentin F. Zaitsev |
Publisher | CRC Press |
Pages | 815 |
Release | 2002-10-28 |
Genre | Mathematics |
ISBN | 1420035339 |
Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handboo