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An Introduction To Differential Equations And Their Applications

Author: Stanley J. Farlow
Publisher: Courier Corporation
ISBN: 0486135136
Size: 19.40 MB
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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
Size: 43.94 MB
Format: PDF, ePub
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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.

Partial Differential Equations For Scientists And Engineers

Author: Stanley J. Farlow
Publisher: Courier Corporation
ISBN: 0486134733
Size: 79.84 MB
Format: PDF, Kindle
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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.

Introduction To Partial Differential Equations With Applications

Author: E. C. Zachmanoglou
Publisher: Courier Corporation
ISBN: 048613217X
Size: 11.85 MB
Format: PDF, ePub, 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.

Introduction To Linear Algebra And Differential Equations

Author: John W. Dettman
Publisher: Courier Corporation
ISBN: 9780486651910
Size: 10.37 MB
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.

Essential Calculus With Applications

Author: Richard A. Silverman
Publisher: Courier Corporation
ISBN: 0486318591
Size: 49.85 MB
Format: PDF
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Calculus is an extremely powerful tool for solving a host of practical problems in fields as diverse as physics, biology, and economics, to mention just a few. In this rigorous but accessible text, a noted mathematician introduces undergraduate-level students to the problem-solving techniques that make a working knowledge of calculus indispensable for any mathematician. The author first applies the necessary mathematical background, including sets, inequalities, absolute value, mathematical induction, and other "precalculus" material. Chapter Two begins the actual study of differential calculus with a discussion of the key concept of function, and a thorough treatment of derivatives and limits. In Chapter Three differentiation is used as a tool; among the topics covered here are velocity, continuous and differentiable functions, the indefinite integral, local extrema, and concrete optimization problems. Chapter Four treats integral calculus, employing the standard definition of the Riemann integral, and deals with the mean value theorem for integrals, the main techniques of integration, and improper integrals. Chapter Five offers a brief introduction to differential equations and their applications, including problems of growth, decay, and motion. The final chapter is devoted to the differential calculus of functions of several variables. Numerous problems and answers, and a newly added section of "Supplementary Hints and Answers," enable the student to test his grasp of the material before going on. Concise and well written, this text is ideal as a primary text or as a refresher for anyone wishing to review the fundamentals of this crucial discipline.

Partial Differential Equations Of Mathematical Physics

Author: S. L. Sobolev
Publisher: Courier Corporation
ISBN: 9780486659640
Size: 78.43 MB
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.

The Qualitative Theory Of Ordinary Differential Equations

Author: Fred Brauer
Publisher: Courier Corporation
ISBN: 0486151514
Size: 32.15 MB
Format: PDF, ePub, 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.

Laplace Transforms And Their Applications To Differential Equations

Author: N.W. McLachlan
Publisher: Courier Corporation
ISBN: 0486798232
Size: 59.18 MB
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.