|Generalized Functions and Partial Differential Equations |
by Avner Friedman
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.
|Boundary Value Problems and Fourier Expansions |
by Charles R. MacCluer
Based on modern Sobolev methods, this text integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. 2004 edition. Includes 64 figures. Exercises.
|Complex Variables and the Laplace Transform for Engineers |
by Wilbur R. LePage
Acclaimed text on engineering math for graduate students covers theory of complex variables, Cauchy-Riemann equations, Fourier and Laplace transform theory, Z-transform, and much more. Many excellent problems.
|An Introduction to Orthogonal Polynomials |
by Theodore S Chihara
Concise introduction covers general elementary theory, including the representation theorem and distribution functions, continued fractions and chain sequences, the recurrence formula, special functions, and some specific systems. 1978 edition.
|The Laplace Transform |
by David V. Widder
This volume focuses on the Laplace and Stieltjes transforms, offering a highly theoretical treatment. Topics include fundamental formulas, the moment problem, monotonic functions, and Tauberian theorems. 1941 edition.
|Introduction to Difference Equations |
by Samuel Goldberg
Exceptionally clear exposition of an important mathematical discipline and its applications to sociology, economics, and psychology. Topics include calculus of finite differences, difference equations, matrix methods, and more. 1958 edition.
|Fourier Transforms |
by Ian N. Sneddon
Focusing on applications of Fourier transforms and related topics rather than theory, this accessible treatment is suitable for students and researchers interested in boundary value problems of physics and engineering. 1951 edition.
|Partial Differential Equations |
by Avner Friedman
Largely self-contained, this three-part treatment focuses on elliptic and evolution equations, concluding with a series of independent topics directly related to the methods and results of the preceding sections. 1969 edition.
|An Introduction to Fourier Series and Integrals |
by Robert T. Seeley
This compact guide emphasizes the relationship between physics and mathematics, introducing Fourier series in the way that Fourier himself used them: as solutions of the heat equation in a disk. 1966 edition.
|Elements of Partial Differential Equations |
by Ian N. Sneddon
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.
|Fourier Analysis in Several Complex Variables |
by Leon Ehrenpreis
Suitable for advanced undergraduates and graduate students, this text develops comparison theorems to establish the fundamentals of Fourier analysis and to illustrate their applications to partial differential equations. 1970 edition.
|An Introduction to Differential Equations and Their Applications |
by Stanley J. Farlow
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.
|Fourier Series and Orthogonal Polynomials |
by Dunham Jackson
This text for undergraduate and graduate students illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Includes Pearson frequency functions, Jacobi, Hermite, and Laguerre polynomials, more.1941 edition.
|Applied Partial Differential Equations |
by Paul DuChateau, David Zachmann
Book 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.
|Chebyshev and Fourier Spectral Methods: Second Revised Edition |
by John P. Boyd
Completely revised text applies spectral methods to boundary value, eigenvalue, and time-dependent problems, but also covers cardinal functions, matrix-solving methods, coordinate transformations, much more. Includes 7 appendices and over 160 text figures.
|Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review |
by Granino A. Korn, Theresa M. Korn
Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.
|An Introduction to Lebesgue Integration and Fourier Series |
by Howard J. Wilcox, David L. Myers
Clear and concise introductory treatment for undergraduates covers Riemann integral, measurable sets and their properties, measurable functions, Lebesgue integral and convergence, pointwise conversion of Fourier series, other subjects. 1978 edition.
|Partial Differential Equations for Scientists and Engineers |
by Stanley J. Farlow
Practical text shows how to formulate and solve partial differential equations. Coverage includes diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Solution guide available upon request. 1982 edition.
|Fourier Series and Orthogonal Functions |
by Harry F. Davis
An incisive text combining theory and practical example to introduce Fourier series, orthogonal functions and applications of the Fourier method to boundary-value problems. Includes 570 exercises. Answers and notes.
|Ordinary Differential Equations |
by Morris Tenenbaum, Harry Pollard
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Explores integrating factors; dilution and accretion problems; Laplace Transforms; Newton's Interpolation Formulas, more.
|Fourier Series |
by Georgi P. Tolstov
This reputable translation covers trigonometric Fourier series, orthogonal systems, double Fourier series, Bessel functions, the Eigenfunction method and its applications to mathematical physics, operations on Fourier series, more. Over 100 problems. 1962 edition.