An Introduction to Differential Equations and Their Applications

Author: Stanley J. Farlow
Publisher: Courier Corporation
ISBN: 0486135136
Format: PDF, ePub
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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.

Introduction to Partial Differential Equations with Applications

Author: E. C. Zachmanoglou
Publisher: Courier Corporation
ISBN: 048613217X
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.

Differential Equations and Their Applications

Author: M. Braun
Publisher: Springer Science & Business Media
ISBN: 1475749694
Format: PDF, Mobi
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For the past several years the Division of Applied Mathematics at Brown University has been teaching an extremely popular sophomore level differential equations course. The immense success of this course is due primarily to two fac tors. First, and foremost, the material is presented in a manner which is rigorous enough for our mathematics and ap plied mathematics majors, but yet intuitive and practical enough for our engineering, biology, economics, physics and geology majors. Secondly, numerous case histories are given of how researchers have used differential equations to solve real life problems. This book is the outgrowth of this course. It is a rigorous treatment of differential equations and their appli cations, and can be understood by anyone who has had a two semester course in Calculus. It contains all the material usually covered in a one or two semester course in differen tial equations. In addition, it possesses the following unique features which distinguish it from other textbooks on differential equations.

Ordinary Differential Equations

Author: Morris Tenenbaum
Publisher: Courier Corporation
ISBN: 0486649407
Format: PDF, Docs
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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 Nonlinear Differential and Integral Equations

Author: Harold Thayer Davis
Publisher: Courier Corporation
ISBN: 9780486609713
Format: PDF
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Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.

Ordinary Differential Equations in the Complex Domain

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

The Qualitative Theory of Ordinary Differential Equations

Author: Fred Brauer
Publisher: Courier Corporation
ISBN: 0486151514
Format: PDF, Mobi
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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.

Laplace Transforms and Their Applications to Differential Equations

Author: N.W. McLachlan
Publisher: Courier Corporation
ISBN: 0486798232
Format: PDF, Kindle
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Classic graduate-level exposition covers theory and applications to ordinary and partial differential equations. Includes derivation of Laplace transforms of various functions, Laplace transform for a finite interval, and more. 1948 edition.

Ordinary Differential Equations and Their Solutions

Author: George Moseley Murphy
Publisher: Courier Corporation
ISBN: 0486485919
Format: PDF, Docs
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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.