Brown J.W., Churchill R.V. Fourier Series and Boundary Value Problems

11.12.2010 в 15:37 2.1 МБ djvu 100 раз
McGraw-Hill, 1993. - 348 pages.
Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are two main objectives of this text. The first is to introduce the concept of orthogonal sets of functions and representations of arbitrary functions in series of functions from such sets. The second is a clear presentation of the classical method of separation of variables used in solving boundary value problems with the aid of those representations.

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Powers D.L. Boundary Value Problems and Partial Differential Equations

разное
Academic Press, 2005. - 520 Pages.

Boundary Value Problems is the leading text on boundary value problems and Fourier series. The author, David Powers, has written a thorough, theoretical overview of solving boundary value problems involving partial differential equations by the methods of separation of variables. Profe...
02.02.2011 в 23:31 2.37 МБ 52 раза

Haberman R. Elementary Applied Partial Differential Equations: With Fourier Series and Boundary Value Problems

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Prentice Hall, 1987. - 532 p.
This text discusses elementary partial differential equations in the engineering and physical sciences. It is suited for courses whose titles include Fourier series, orthogonal functions, or boundary value problems. It may also be used in courses on Green's functions or transform methods.
Si...
04.12.2010 в 21:53 3.88 МБ 20 раз

Weinberger H.F. A First Course in Partial Differential Equations: with Complex Variables and Transform Methods

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New York: Dover Publications, 1995. - 480 pages
It has become customary at many colleges and universities to teach undergraduate courses in boundary value problems, Fourier series, and integral transforms. These courses usually emphasize the Fourier series or Laplace transforms, and then treat some problems in partial diffe...
10.12.2010 в 00:12 4.11 МБ 23 раза

Byerly W.E. An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics with Applications to Problems in Mathematical Physics

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BiblioBazaar, 2009. - 300 pages.

Development in Trigonometric Series; Convergence of Fourier's Series; Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series; Zonal Harmonics; Spherical Harmonics; Cylindrical Harmonics; Laplace's Equation in Curviline...
27.06.2011 в 20:19 1.33 МБ 4 раза

Bernatz R. Fourier Series and Numerical Methods for Partial Differential Equations

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Wiley, 2010. - 318 pages.

The importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well known by students and practitioners in these fields. Striking a balance between theory and applications, Fourier Series and Numerical Me...
12.12.2010 в 17:13 3.66 МБ 35 раз

Pinsky M.A. Partial Differential Equations and Boundary-value Problems With Applications

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American Mathematical Society, 2011. - 526 pages.

Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coo...
28.01.2012 в 01:47 4.39 МБ 48 раз

Hanna J.R., Rowland J.H. Fourier Series, Transforms and Boundary Value Problems

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Wiley-Interscience, 1990. - 368 Pages.

The basic philosophy remains the same as in the first edition. The primary changes consist of the addition of new material on integral transforms, discrete and fast Fourier transforms, series solutions, harmonic analysis, spherical harmonics, and a glance at some of the numerical t...
28.06.2011 в 01:09 4.47 МБ 12 раз

Olver P.J., Shakiban C. Applied Mathematics

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2003. - 1165 pages.
Chapters:
Linear Algebra, Vector Spaces, Inner Products and Norms, Minimization and Least Squares Approximation, Orthogonality, Equilibrium, Linear Functions, Linear Transformations,
Eigenvalues, Linear Dynamical Systems, Iteration of Linear Systems, Boundary Value Problems in One Dimension, Four...
02.02.2011 в 02:04 7.98 МБ 12 раз

Articolo G.A. Partial Differential Equations and Boundary Value Problems with Maple V

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Academic Press, 2009. - 744 pages.

Integrating Maple V animation software and traditional topics of partial differential equations, this text discusses first and second-order differential equations, Sturm-Liouville eigenvalue problems, generalized Fourier series, the diffusion or heat equation and the wave equation in o...
22.04.2011 в 20:24 5.07 МБ 25 раз

Kazuaki Taira. Boundary Value Problems and Markov Processes

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Springer, 2009. - 198 pages.

Focussing on the interrelations of the subjects of Markov processes, analytic semigroups and elliptic boundary value problems, this monograph provides a careful and accessible exposition of functional methods in stochastic analysis. The author studies a class of boundary value problems for s...
18.12.2010 в 23:21 2.06 МБ 17 раз