# Ordinary Differential Equations

Download book entitled Ordinary Differential Equations by Morris Tenenbaum and published by Courier Corporation in PDF, EPUB and Kindle. Read Ordinary Differential Equations book directly from your devices anywhere anytime. Click Download Book button to get book file. Read some info about this book below.

- Author : Morris Tenenbaum
- Publisher : Courier Corporation
- Release : 15 August 1963
- ISBN : 9780486649405
- Page : 808 pages
- Rating : 5/5 from 2 voters

## Ordinary Differential Equations Book PDF summary

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

### Ordinary Differential Equations

- Author : Morris Tenenbaum,Harry Pollard
- Publisher : Courier Corporation
- Release Date : 1963
- ISBN : 9780486649405

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

### Solving Ordinary Differential Equations I

- Author : Ernst Hairer,Syvert P. Nørsett,Gerhard Wanner
- Publisher : Springer Science & Business Media
- Release Date : 2008-04-03
- ISBN : 9783540788621

This book deals with methods for solving nonstiff ordinary differential equations. The first chapter describes the historical development of the classical theory, and the second chapter includes a modern treatment of Runge-Kutta and extrapolation methods. Chapter three begins with the classical theory of multistep methods, and concludes with the theory of general linear methods. The reader will benefit from many illustrations, a historical and didactic approach, and computer programs which help him/her learn to solve all kinds of ordinary

### Ordinary Differential Equations

- Author : William A. Adkins,Mark G. Davidson
- Publisher : Springer Science & Business Media
- Release Date : 2012-07-01
- ISBN : 9781461436188

Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods for constant coefficient systems are streamlined. By introducing the Laplace transform early in the text, students become proficient in its use while at

### A Textbook on Ordinary Differential Equations

- Author : Shair Ahmad,Antonio Ambrosetti
- Publisher : Springer
- Release Date : 2015-06-05
- ISBN : 9783319164083

This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace

### Handbook of Ordinary Differential Equations

- Author : Andrei D. Polyanin,Valentin F. Zaitsev
- Publisher : CRC Press
- Release Date : 2017-11-15
- ISBN : 9781351643917

The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction

### Ordinary Differential Equations

- Author : Wolfgang Walter
- Publisher : Springer Science & Business Media
- Release Date : 2013-03-11
- ISBN : 9781461206019

Based on a translation of the 6th edition of Gewöhnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional treatments of important subjects not found in the German text as well as material that is seldom found in textbooks, such as new proofs for basic theorems. This unique feature of the book calls for a closer look at contents and methods with an emphasis on subjects outside the mainstream. Exercises, which range from routine to demanding, are dispersed throughout the

### Ordinary Differential Equations in Rn

- Author : Livio C. Piccinini,Guido Stampacchia,Giovanni Vidossich
- Publisher : Springer Science & Business Media
- Release Date : 2012-12-06
- ISBN : 9781461251880

During the fifties, one of the authors, G. Stampacchia, had prepared some lecture notes on ordinary differential equations for a course in ad analysis. These remained for a long time unused because he was no vanced longer very interested in the study of such equations. We now see, though, that numerous applications to biology, chemistry, economics, and medicine have recently been added to the traditional ones in mechanics; also, there has been in these last years a reemergence of interest

### Nonlinear Ordinary Differential Equations

- Author : Dominic Jordan,Peter Smith
- Publisher : OUP Oxford
- Release Date : 2007-08-24
- ISBN : 9780191525995

This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back of the book. Topics include phase plane analysis, nonlinear damping, small parameter expansions and singular perturbations, stability, Liapunov methods, Poincare sequences, homoclinic bifurcation and Liapunov exponents. Over 500 end-of-chapter problems are also included and as an additional

### Linear Ordinary Differential Equations

- Author : Earl A. Coddington,Robert Carlson
- Publisher : SIAM
- Release Date : 1997-01-01
- ISBN : 1611971438

Linear Ordinary Differential Equations, a text for advanced undergraduate or beginning graduate students, presents a thorough development of the main topics in linear differential equations. A rich collection of applications, examples, and exercises illustrates each topic. The authors reinforce students' understanding of calculus, linear algebra, and analysis while introducing the many applications of differential equations in science and engineering. Three recurrent themes run through the book. The methods of linear algebra are applied directly to the analysis of systems with

### A Short Course in Ordinary Differential Equations

- Author : Qingkai Kong
- Publisher : Springer
- Release Date : 2014-10-21
- ISBN : 9783319112398

This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré—Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm—Liouville problems. The presentation is clear and easy-to-understand, with figures

### The Qualitative Theory of Ordinary Differential Equations

- Author : Fred Brauer,John A. Nohel
- Publisher : Courier Corporation
- Release Date : 2012-12-11
- ISBN : 9780486151519

Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises.

### Ordinary Differential Equations

- Author : Vladimir I. Arnold
- Publisher : Springer Science & Business Media
- Release Date : 1992-05-08
- ISBN : 3540548130

Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms. From the reviews: "Professor Arnold has expanded his classic book to include new material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation." --SIAM REVIEW

### Ordinary Differential Equations

- Author : Hartmut Logemann,Eugene P. Ryan
- Publisher : Springer
- Release Date : 2014-07-08
- ISBN : 9781447163985

The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature. The following topics are particularly emphasised: • existence, uniqueness and continuation of solutions, • continuous dependence on initial data, • flows, • qualitative behaviour of solutions, • limit sets, • stability theory, • invariance principles, • introductory control theory, • feedback and stabilization. The last two items cover classical control theoretic material such as linear control theory

### Basic Theory of Ordinary Differential Equations

- Author : Po-Fang Hsieh,Yasutaka Sibuya
- Publisher : Springer Science & Business Media
- Release Date : 2012-12-06
- ISBN : 9781461215066

Providing readers with the very basic knowledge necessary to begin research on differential equations with professional ability, the selection of topics here covers the methods and results that are applicable in a variety of different fields. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, while the third deals with nonlinear equations. In the last part the authors

### Scientific Computing with Ordinary Differential Equations

- Author : Peter Deuflhard,Folkmar Bornemann
- Publisher : Springer Science & Business Media
- Release Date : 2012-12-06
- ISBN : 9780387215822

Well-known authors; Includes topics and results that have previously not been covered in a book; Uses many interesting examples from science and engineering; Contains numerous homework exercises; Scientific computing is a hot and topical area