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Ordinary Differential Equations

Author: Morris Tenenbaum
Publisher: Courier Corporation
ISBN: 0486649407
Size: 24.81 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
Publisher: Courier Corporation
ISBN: 0486131831
Size: 47.68 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 Stability Theory

Author: David A. Sánchez
Publisher: Courier Corporation
ISBN: 0486638286
Size: 23.40 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.

The Qualitative Theory Of Ordinary Differential Equations

Author: Fred Brauer
Publisher: Courier Corporation
ISBN: 0486151514
Size: 11.79 MB
Format: PDF, Docs
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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.

Ordinary Differential Equations

Author: Jack K. Hale
Publisher: Courier Corporation
ISBN: 0486472116
Size: 17.83 MB
Format: PDF, ePub, Mobi
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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.

Introduction To Linear Algebra And Differential Equations

Author: John W. Dettman
Publisher: Courier Corporation
ISBN: 0486158314
Size: 17.45 MB
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Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.

Lectures On Ordinary Differential Equations

Author: Witold Hurewicz
Publisher: Courier Corporation
ISBN: 048679721X
Size: 73.65 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.

Introduction To Partial Differential Equations With Applications

Author: E. C. Zachmanoglou
Publisher: Courier Corporation
ISBN: 048613217X
Size: 64.38 MB
Format: PDF, Docs
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This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.

Ordinary Differential Equations In The Complex Domain

Author: Einar Hille
Publisher: Courier Corporation
ISBN: 9780486696201
Size: 32.28 MB
Format: PDF, Mobi
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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.

An Introduction To Ordinary Differential Equations

Author: James C. Robinson
Publisher: Cambridge University Press
ISBN: 1139450026
Size: 11.45 MB
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This refreshing, introductory textbook covers both standard techniques for solving ordinary differential equations, as well as introducing students to qualitative methods such as phase-plane analysis. The presentation is concise, informal yet rigorous; it can be used either for 1-term or 1-semester courses. Topics such as Euler's method, difference equations, the dynamics of the logistic map, and the Lorenz equations, demonstrate the vitality of the subject, and provide pointers to further study. The author also encourages a graphical approach to the equations and their solutions, and to that end the book is profusely illustrated. The files to produce the figures using MATLAB are all provided in an accompanying website. Numerous worked examples provide motivation for and illustration of key ideas and show how to make the transition from theory to practice. Exercises are also provided to test and extend understanding: solutions for these are available for teachers.