# an introduction to differential equations and their applications dover books on mathematics

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## An Introduction To Differential Equations And Their Applications

**Author :**Stanley J. Farlow

**ISBN :**9780486135137

**Genre :**Mathematics

**File Size :**39. 22 MB

**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

**ISBN :**9780486132174

**Genre :**Mathematics

**File Size :**87. 77 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.

## Differential Equations And Their Applications

**Author :**M. Braun

**ISBN :**9781475749694

**Genre :**Mathematics

**File Size :**77. 45 MB

**Format :**PDF, Docs

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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.

## Introduction To Nonlinear Differential And Integral Equations

**Author :**Harold Thayer Davis

**ISBN :**0486609715

**Genre :**Mathematics

**File Size :**70. 73 MB

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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

**Author :**Morris Tenenbaum

**ISBN :**9780486649405

**Genre :**Mathematics

**File Size :**88. 38 MB

**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.

## Ordinary Differential Equations And Their Solutions

**Author :**George Moseley Murphy

**ISBN :**9780486485911

**Genre :**Mathematics

**File Size :**84. 34 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.

## Introduction To Linear Algebra And Differential Equations

**Author :**John W. Dettman

**ISBN :**0486651916

**Genre :**Mathematics

**File Size :**50. 4 MB

**Format :**PDF

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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.

## Laplace Transforms And Their Applications To Differential Equations

**Author :**N.W. McLachlan

**ISBN :**9780486798233

**Genre :**Mathematics

**File Size :**44. 1 MB

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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.

## The Qualitative Theory Of Ordinary Differential Equations

**Author :**Fred Brauer

**ISBN :**0486658465

**Genre :**Mathematics

**File Size :**70. 15 MB

**Format :**PDF, Kindle

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"This is a very good book ... with many well-chosen examples and illustrations." — American Mathematical Monthly This highly regarded text presents a self-contained introduction to some important aspects of modern qualitative theory for ordinary differential equations. It is accessible to any student of physical sciences, mathematics or engineering who has a good knowledge of calculus and of the elements of linear algebra. In addition, algebraic results are stated as needed; the less familiar ones are proved either in the text or in appendixes. The topics covered in the first three chapters are the standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. The next three chapters, the heart of the book, deal with stability theory and some applications, such as oscillation phenomena, self-excited oscillations and the regulator problem of Lurie. One of the special features of this work is its abundance of exercises-routine computations, completions of mathematical arguments, extensions of theorems and applications to physical problems. Moreover, they are found in the body of the text where they naturally occur, offering students substantial aid in understanding the ideas and concepts discussed. The level is intended for students ranging from juniors to first-year graduate students in mathematics, physics or engineering; however, the book is also ideal for a one-semester undergraduate course in ordinary differential equations, or for engineers in need of a course in state space methods.

## Ordinary Differential Equations In The Complex Domain

**Author :**Einar Hille

**ISBN :**0486696200

**Genre :**Mathematics

**File Size :**90. 75 MB

**Format :**PDF, ePub

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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.