An Introduction to Differential Equations and Their Applications

Author: Stanley J. Farlow
Publisher: Courier Corporation
ISBN: 0486135136
Format: PDF, Docs
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This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.

Ordinary Differential Equations

Author: Morris Tenenbaum
Publisher: Courier Corporation
ISBN: 0486649407
Format: PDF
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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.

Introduction to Partial Differential Equations with Applications

Author: E. C. Zachmanoglou
Publisher: Courier Corporation
ISBN: 048613217X
Format: PDF, Mobi
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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.

Partial Differential Equations for Scientists and Engineers

Author: Stanley J. Farlow
Publisher: Courier Corporation
ISBN: 0486134733
Format: PDF
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Practical text shows how to formulate and solve partial differential equations. Coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, numerical and approximate methods. Solution guide available upon request. 1982 edition.

Partial Differential Equations of Mathematical Physics

Author: S. L. Sobolev
Publisher: Courier Corporation
ISBN: 9780486659640
Format: PDF, ePub, Mobi
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This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.

Essential Calculus with Applications

Author: Richard A. Silverman
Publisher: Courier Corporation
ISBN: 9780486660974
Format: PDF
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Rigorous but accessible text introduces undergraduate-level students to necessary background math, then clear coverage of differential calculus, differentiation as a tool, integral calculus, integration as a tool, and functions of several variables. Numerous problems and a supplementary section of "Hints and Answers." 1977 edition.

Partial Differential Equations of Mathematical Physics and Integral Equations

Author: Ronald B. Guenther
Publisher: Courier Corporation
ISBN: 0486137627
Format: PDF, Mobi
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Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more. 1988 edition.

Ordinary Differential Equations in the Complex Domain

Author: Einar Hille
Publisher: Courier Corporation
ISBN: 9780486696201
Format: PDF, ePub, 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.

Introduction to Linear Algebra and Differential Equations

Author: John W. Dettman
Publisher: Courier Corporation
ISBN: 9780486651910
Format: PDF, Mobi
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Excellent introductory text for students with one year of calculus. Topics include complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions and boundary-value problems. Includes 48 black-and-white illustrations. Exercises with solutions. Index.