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Introduction To Partial Differential Equations

Author: Donald Greenspan
Publisher: Courier Corporation
ISBN: 0486150933
Size: 71.91 MB
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Designed for use in a 1-semester course by seniors and beginning graduate students, this rigorous presentation explores practical methods of solving differential equations, plus the unifying theory underlying the mathematical superstructure. Topics include basic concepts, Fourier series, 2nd-order partial differential equations, wave equation, potential equation, heat equation, and more. Includes exercises. 1961 edition.

Basic Linear Partial Differential Equations

Author: Francois Treves
Publisher: Courier Corporation
ISBN: 0486150984
Size: 19.78 MB
Format: PDF
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Focusing on the archetypes of linear partial differential equations, this text for upper-level undergraduates and graduate students employs nontraditional methods to explain classical material. Nearly 400 exercises. 1975 edition.

Lectures On Partial Differential Equations

Author: I. G. Petrovsky
Publisher: Courier Corporation
ISBN: 0486155080
Size: 20.20 MB
Format: PDF, Kindle
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Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.

Partial Differential Equations Of Mathematical Physics

Author: S. L. Sobolev
Publisher: Courier Corporation
ISBN: 9780486659640
Size: 24.36 MB
Format: PDF, Kindle
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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.

Introduction To Partial Differential Equations With Applications

Author: E. C. Zachmanoglou
Publisher: Courier Corporation
ISBN: 048613217X
Size: 70.32 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.

Ordinary Differential Equations

Author: Morris Tenenbaum
Publisher: Courier Corporation
ISBN: 0486649407
Size: 41.44 MB
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.

Partial Differential Equations

Author: David Colton
Publisher: Courier Corporation
ISBN: 0486438341
Size: 64.77 MB
Format: PDF, ePub
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This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Classical topics presented in a modern context include coverage of integral equations and basic scattering theory. Includes examples of inverse problems arising from improperly posed applications as well as exercises, many with answers. 1988 edition.

Partial Differential Equations Of Parabolic Type

Author: Avner Friedman
Publisher: Courier Corporation
ISBN: 0486318265
Size: 22.77 MB
Format: PDF, ePub, Docs
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With this book, even readers unfamiliar with the field can acquire sufficient background to understand research literature related to the theory of parabolic and elliptic equations. 1964 edition.

Modern Methods In Partial Differential Equations

Author: Martin Schechter
Publisher: Courier Corporation
ISBN: 0486492966
Size: 73.53 MB
Format: PDF
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When first published in 1977, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Now it remains a permanent, much-cited contribution to the ever-expanding literature.

Generalized Functions And Partial Differential Equations

Author: Avner Friedman
Publisher: Courier Corporation
ISBN: 9780486152912
Size: 38.74 MB
Format: PDF, Docs
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This self-contained text details developments in the theory of generalized functions and the theory of distributions, and it systematically applies them to a variety of problems in partial differential equations. 1963 edition.