An Introduction to Differential Equations and Their Applications

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

An Introduction to Differential Equations and Their Applications

Author: Stanley J. Farlow
Publisher: Courier Corporation
ISBN: 048644595X
Format: PDF, ePub, Mobi
Download Now
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.

An Introduction to Differential Equations and Their Applications

Author: Stanley J. Farlow
Publisher: Dover Publications
ISBN:
Format: PDF, Docs
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Intended for use in a beginning one-semester course in differential equations, this text is designed for students of pure and applied mathematics with a working knowledge of algebra, trigonometry, and elementary calculus. Its mathematical rigor is balanced by complete but simple explanations that appeal to readers' physical and geometric intuition. Starting with an introduction to differential equations, the text proceeds to examinations of first- and second-order differential equations, series solutions, the Laplace transform, systems of differential equations, difference equations, nonlinear differential equations and chaos, and partial differential equations. Numerous figures, problems with solutions, and historical notes clarify the text.

Introduction to Partial Differential Equations with Applications

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

Introduction to Nonlinear Differential and Integral Equations

Author: Harold Thayer Davis
Publisher: Courier Corporation
ISBN: 9780486609713
Format: PDF, Mobi
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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.

Differential Equations and Their Applications

Author: M. Braun
Publisher: Springer Science & Business Media
ISBN: 1475749694
Format: PDF, ePub, 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, Mobi
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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 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, ePub, 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.

Stochastic Differential Equations and Applications

Author: Avner Friedman
Publisher: Academic Press
ISBN: 1483217876
Format: PDF, Mobi
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Stochastic Differential Equations and Applications, Volume 1 covers the development of the basic theory of stochastic differential equation systems. This volume is divided into nine chapters. Chapters 1 to 5 deal with the basic theory of stochastic differential equations, including discussions of the Markov processes, Brownian motion, and the stochastic integral. Chapter 6 examines the connections between solutions of partial differential equations and stochastic differential equations, while Chapter 7 describes the Girsanov’s formula that is useful in the stochastic control theory. Chapters 8 and 9 evaluate the behavior of sample paths of the solution of a stochastic differential system, as time increases to infinity. This book is intended primarily for undergraduate and graduate mathematics students.