# ordinary differential equations dover books on mathematics

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## Ordinary Differential Equations

**Author :**Morris Tenenbaum

**ISBN :**9780486649405

**Genre :**Mathematics

**File Size :**31. 24 MB

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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.

## An Introduction To Ordinary Differential Equations

**Author :**Earl A. Coddington

**ISBN :**9780486131832

**Genre :**Mathematics

**File Size :**29. 14 MB

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A thorough, systematic first course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background. Includes many exercises and problems, with answers. Index.

## Ordinary Differential Equations And Their Solutions

**Author :**George Moseley Murphy

**ISBN :**9780486485911

**Genre :**Mathematics

**File Size :**45. 13 MB

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This treatment presents most of the methods for solving ordinary differential equations and systematic arrangements of more than 2,000 equations and their solutions. The material is organized so that standard equations can be easily found. Plus, the substantial number and variety of equations promises an exact equation or a sufficiently similar one. 1960 edition.

## Ordinary Differential Equations And Stability Theory

**Author :**David A. Sánchez

**ISBN :**9780486638287

**Genre :**Mathematics

**File Size :**53. 60 MB

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Beginning with a general discussion of the linear equation, topics developed include stability theory for autonomous and nonautonomous systems. Two appendices are also provided, and there are problems at the end of each chapter — 55 in all. Unabridged republication of the original (1968) edition. Appendices. Bibliography. Index. 55 problems.

## Ordinary Differential Equations

**Author :**Vladimir I. Arnold

**ISBN :**3540548130

**Genre :**Mathematics

**File Size :**68. 97 MB

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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

## Lectures On Ordinary Differential Equations

**Author :**Witold Hurewicz

**ISBN :**9780486797212

**Genre :**Mathematics

**File Size :**62. 41 MB

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Hailed by The American Mathematical Monthly as "a rigorous and lively introduction," this text explores a topic of perennial interest in mathematics. The author, a distinguished mathematician and formulator of the Hurewicz theorem, presents a clear and lucid treatment that emphasizes geometric methods. Topics include first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. Suitable for senior mathematics students, the text begins with an examination of differential equations of the first order in one unknown function. Subsequent chapters address systems of differential equations, linear systems of differential equations, singularities of an autonomous system, and solutions of an autonomous system in the large.

## Ordinary Differential Equations

**Author :**William Adkins

**ISBN :**9781461436188

**Genre :**Mathematics

**File Size :**65. 12 MB

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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 the same time learning the standard topics in differential equations. The text also includes proofs of several important theorems that are not usually given in introductory texts. These include a proof of the injectivity of the Laplace transform and a proof of the existence and uniqueness theorem for linear constant coefficient differential equations. Along with its unique traits, this text contains all the topics needed for a standard three- or four-hour, sophomore-level differential equations course for students majoring in science or engineering. These topics include: first order differential equations, general linear differential equations with constant coefficients, second order linear differential equations with variable coefficients, power series methods, and linear systems of differential equations. It is assumed that the reader has had the equivalent of a one-year course in college calculus.