partial differential equations dover books on mathematics

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Elements Of Partial Differential Equations

Author : Ian N. Sneddon
ISBN : 9780486162997
Genre : Mathematics
File Size : 87. 59 MB
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This text features numerous worked examples in its presentation of elements from the theory of partial differential equations, emphasizing forms suitable for solving equations. Solutions to odd-numbered problems appear at the end. 1957 edition.

Partial Differential Equations Of Mathematical Physics

Author : S. L. Sobolev
ISBN : 048665964X
Genre : Science
File Size : 37. 28 MB
Format : PDF, ePub
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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

Author : Donald Greenspan
ISBN : 9780486150932
Genre : Mathematics
File Size : 74. 33 MB
Format : PDF
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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.

Partial Differential Equations For Scientists And Engineers

Author : Stanley J. Farlow
ISBN : 9780486134734
Genre : Mathematics
File Size : 59. 72 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.

Partial Differential Equations Of Mathematical Physics And Integral Equations

Author : Ronald B. Guenther
ISBN : 9780486137629
Genre : Mathematics
File Size : 35. 10 MB
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Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more. 1988 edition.

Introduction To Partial Differential Equations With Applications

Author : E. C. Zachmanoglou
ISBN : 9780486132174
Genre : Mathematics
File Size : 41. 78 MB
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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.

Partial Differential Equations

Author : David Colton
ISBN : 9780486138435
Genre : Mathematics
File Size : 54. 7 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. Features coverage of integral equations and basic scattering theory. Includes exercises, many with answers. 1988 edition.

Applied Partial Differential Equations

Author : Paul DuChateau
ISBN : 9780486141879
Genre : Mathematics
File Size : 74. 75 MB
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DIVBook focuses mainly on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included. /div

Abstract Methods In Partial Differential Equations

Author : Robert W. Carroll
ISBN : 9780486263281
Genre : Mathematics
File Size : 67. 22 MB
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Detailed, self-contained treatment examines modern abstract methods in partial differential equations, especially abstract evolution equations. Suitable for graduate students with some previous exposure to classical partial differential equations. 1969 edition.

Partial Differential Equations Of Mathematical Physics

Author : Arthur Godon Webster
ISBN : 9780486805153
Genre : Mathematics
File Size : 36. 86 MB
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A classic treatise on partial differential equations, this comprehensive work by one of America's greatest early mathematical physicists covers the basic method, theory, and application of partial differential equations. In addition to its value as an introductory and supplementary text for students, this volume constitutes a fine reference for mathematicians, physicists, and research engineers. Detailed coverage includes Fourier series; integral and elliptic equations; spherical, cylindrical, and ellipsoidal harmonics; Cauchy's method; boundary problems; the Riemann-Volterra method; and many other basic topics. The self-contained treatment fully develops the theory and application of partial differential equations to virtually every relevant field: vibration, elasticity, potential theory, the theory of sound, wave propagation, heat conduction, and many more. A helpful Appendix provides background on Jacobians, double limits, uniform convergence, definite integrals, complex variables, and linear differential equations.

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