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- Ordinary Differential Equations

- Author : Vladimir I. Arnold
- Publsiher : Springer Science & Business Media
- Release : 08 May 1992
- ISBN : 9783540548133
- Pages : 338 pages
- Rating : 4.5/5 from 5 reviews

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Download or read book entitled *Ordinary Differential Equations* by author: *Vladimir I. Arnold* which was release on *08 May 1992* and published by *Springer Science & Business Media* with total page 338 pages . This book available in PDF, EPUB and Kindle Format. 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

- Author : Vladimir I. Arnold
- Publisher : Springer Science & Business Media
- Release Date : 1992-05-08
- Total pages : 338
- ISBN : 9783540548133

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**Summary :** 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 ...

- Author : Philip Hartman
- Publisher : SIAM
- Release Date : 2002-01-01
- Total pages : 612
- ISBN : 9783540548133

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**Summary :** Covers the fundamentals of the theory of ordinary differential equations....

- Author : Jack K. Hale
- Publisher : Courier Corporation
- Release Date : 2009-01-01
- Total pages : 361
- ISBN : 9783540548133

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**Summary :** This rigorous treatment prepares readers for the study of differential equations and shows them how to research current literature. It emphasizes nonlinear problems and specific analytical methods. 1969 edition....

- Author : Morris Tenenbaum,Harry Pollard
- Publisher : Courier Corporation
- Release Date : 1963
- Total pages : 808
- ISBN : 9783540548133

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**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....

- Author : V. DHARMAIAH
- Publisher : PHI Learning Pvt. Ltd.
- Release Date : 2012-09-19
- Total pages : 420
- ISBN : 9783540548133

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**Summary :** This systematically-organized text on the theory of differential equations deals with the basic concepts and the methods of solving ordinary differential equations. Various existence theorems, properties of uniqueness, oscillation and stability theories, have all been explained with suitable examples to enhance students’ understanding of the subject. The book also discusses ...

- Author : Carmen Charles Chicone
- Publisher : Springer Science & Business Media
- Release Date : 1999
- Total pages : 561
- ISBN : 9783540548133

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**Summary :** This fast-paced introduction to the language of ODEs includes consideration of its origins and applications in science and engineering. Supplementary material provides connections between the theory and other advanced mathematical topics. Mastery of the material this book will provide a solid background for research in ODEs and applications of the ...

- Author : Charles Roberts
- Publisher : CRC Press
- Release Date : 2010-04-05
- Total pages : 600
- ISBN : 9783540548133

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**Summary :** In the traditional curriculum, students rarely study nonlinear differential equations and nonlinear systems due to the difficulty or impossibility of computing explicit solutions manually. Although the theory associated with nonlinear systems is advanced, generating a numerical solution with a computer and interpreting that solution are fairly elementary. Bringing the computer ...

- Author : D. Somasundaram
- Publisher : CRC Press
- Release Date : 2001
- Total pages : 295
- ISBN : 9783540548133

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**Summary :** Though ordinary differential equations is taught as a core course to students in mathematics and applied mathematics, detailed coverage of the topics with sufficient examples is unique. Written by a mathematics professor and intended as a textbook for third- and fourth-year undergraduates, the five chapters of this publication give a ...

- Author : Michael D. Greenberg
- Publisher : John Wiley & Sons
- Release Date : 2014-05-29
- Total pages : 544
- ISBN : 9783540548133

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**Summary :** Features a balance between theory, proofs, and examples and provides applications across diverse fields of study Ordinary Differential Equations presents a thorough discussion of first-order differential equations and progresses to equations of higher order. The book transitions smoothly from first-order to higher-order equations, allowing readers to develop a complete understanding ...

- Author : Raza Tahir-Kheli
- Publisher : Springer
- Release Date : 2019-02-05
- Total pages : 408
- ISBN : 9783540548133

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**Summary :** This textbook describes rules and procedures for the use of Differential Operators (DO) in Ordinary Differential Equations (ODE). The book provides a detailed theoretical and numerical description of ODE. It presents a large variety of ODE and the chosen groups are used to solve a host of physical problems. Solving ...

- Author : David A. Sanchez
- Publisher : American Mathematical Soc.
- Release Date : 2002-12-31
- Total pages : 132
- ISBN : 9783540548133

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**Summary :** For the instructor or student confronting an introductory course in ordinary differential equations there is a need for a brief guide to the key concepts in the subject. Important topics like stability, resonance, existence of periodic solutions, and the essential role of continuation of solutions are often engulfed in a ...

- Author : Bernd J. Schroers
- Publisher : Cambridge University Press
- Release Date : 2011-09-29
- Total pages : 212
- ISBN : 9783540548133

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**Summary :** Ordinary Differential Equations introduces key concepts and techniques in the field and shows how they are used in current mathematical research and modelling. It deals specifically with initial value problems, which play a fundamental role in a wide range of scientific disciplines, including mathematics, physics, computer science, statistics and biology. ...

- Author : Ernst Hairer,Syvert P. Nørsett,Gerhard Wanner
- Publisher : Springer Science & Business Media
- Release Date : 2008-04-16
- Total pages : 528
- ISBN : 9783540548133

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**Summary :** 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 ...

- Author : Wolfgang Walter
- Publisher : Springer Science & Business Media
- Release Date : 2013-03-11
- Total pages : 384
- ISBN : 9783540548133

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**Summary :** 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 ...

- Author : John H. Hubbard,Beverly H. West
- Publisher : Springer Science & Business Media
- Release Date : 1997-10-17
- Total pages : 350
- ISBN : 9783540548133

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**Summary :** This corrected third printing retains the authors'main emphasis on ordinary differential equations. It is most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as the life sciences, physics and economics. The authors have taken the view that a differential ...