ordinary differential equations dover books on mathematics

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Ordinary Differential Equations

Author : Morris Tenenbaum
ISBN : 9780486649405
Genre : Mathematics
File Size : 47. 92 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.

Ordinary Differential Equations

Author : Morris Tenenbaum
ISBN : 0486134644
Genre : Mathematics
File Size : 43. 7 MB
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This unusually well-written, skillfully organized introductory text provides an exhaustive survey of ordinary differential equations — equations which express the relationship between variables and their derivatives. In a disarmingly simple, step-by-step style that never sacrifices mathematical rigor, the authors — Morris Tenenbaum of Cornell University, and Harry Pollard of Purdue University — introduce and explain complex, critically-important concepts to undergraduate students of mathematics, engineering and the sciences. The book begins with a section that examines the origin of differential equations, defines basic terms and outlines the general solution of a differential equation-the solution that actually contains every solution of such an equation. Subsequent sections deal with such subjects as: integrating factors; dilution and accretion problems; the algebra of complex numbers; the linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas; and Picard's Method of Successive Approximations. The book contains two exceptional chapters: one on series methods of solving differential equations, the second on numerical methods of solving differential equations. The first includes a discussion of the Legendre Differential Equation, Legendre Functions, Legendre Polynomials, the Bessel Differential Equation, and the Laguerre Differential Equation. Throughout the book, every term is clearly defined and every theorem lucidly and thoroughly analyzed, and there is an admirable balance between the theory of differential equations and their application. An abundance of solved problems and practice exercises enhances the value of Ordinary Differential Equations as a classroom text for undergraduate students and teaching professionals. The book concludes with an in-depth examination of existence and uniqueness theorems about a variety of differential equations, as well as an introduction to the theory of determinants and theorems about Wronskians.

Ordinary Differential Equations

Author : Morris Tenenbaum
ISBN : UOM:39015058912083
Genre : Differential equations
File Size : 23. 42 MB
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Ordinary Differential Equations

Author : Jack K. Hale
ISBN : 9780486472119
Genre : Mathematics
File Size : 89. 62 MB
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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.

Ordinary Differential Equations And Stability Theory

Author : David A. Sánchez
ISBN : 9780486638287
Genre : Mathematics
File Size : 58. 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 In The Complex Domain

Author : Einar Hille
ISBN : 0486696200
Genre : Mathematics
File Size : 65. 79 MB
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Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography.

Ordinary Differential Equations And Their Solutions

Author : George Moseley Murphy
ISBN : 9780486485911
Genre : Mathematics
File Size : 20. 51 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.

An Introduction To Ordinary Differential Equations

Author : Earl A. Coddington
ISBN : 9780486131832
Genre : Mathematics
File Size : 34. 66 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.

The Qualitative Theory Of Ordinary Differential Equations

Author : Fred Brauer
ISBN : 9780486151519
Genre : Mathematics
File Size : 34. 53 MB
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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.

Lectures On Ordinary Differential Equations

Author : Witold Hurewicz
ISBN : 9780486797212
Genre : Mathematics
File Size : 43. 96 MB
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Introductory treatment explores existence theorems for first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. "A rigorous and lively introduction." — The American Mathematical Monthly. 1958 edition.

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