Fourier Series Transforms and Boundary Value Problems

Author: J. Ray Hanna
Publisher: Courier Corporation
ISBN: 9780486466736
Release Date: 2008-06-11
Genre: Mathematics

This volume introduces Fourier and transform methods for solutions to boundary value problems associated with natural phenomena. Unlike most treatments, it emphasizes basic concepts and techniques rather than theory. Many of the exercises include solutions, with detailed outlines that make it easy to follow the appropriate sequence of steps. 1990 edition.

Partial Differential Equations with Fourier Series and Boundary Value Problems

Author: Nakhle H. Asmar
Publisher: Courier Dover Publications
ISBN: 9780486820835
Release Date: 2017-03-23
Genre: Mathematics

This text provides an introduction to partial differential equations and boundary value problems, including Fourier series. The treatment offers students a smooth transition from a course in elementary ordinary differential equations to more advanced topics in a first course in partial differential equations. This widely adopted and successful book also serves as a valuable reference for engineers and other professionals. The approach emphasizes applications, with particular stress on physics and engineering applications. Rich in proofs and examples, the treatment features many exercises in each section. Relevant Mathematica files are available for download from author Nakhlé Asmar's website; however, the book is completely usable without computer access. The Students' Solutions Manual can be downloaded for free from the Dover website, and the Instructor's Solutions Manual is available upon request for professors and potential teachers. The text is suitable for undergraduates in mathematics, physics, engineering, and other fields who have completed a course in ordinary differential equations.

Fourier Transforms

Author: Ian Naismith Sneddon
Publisher: Courier Corporation
ISBN: 0486685225
Release Date: 1995
Genre: Mathematics

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.

Boundary Value Problems of Applied Mathematics

Author: John L. Troutman
Publisher: Courier Dover Publications
ISBN: 9780486812229
Release Date: 2017-06-21
Genre: Mathematics

This text is geared toward advanced undergraduates and graduate students in mathematics who have some familiarity with multidimensional calculus and ordinary differential equations. Includes a substantial number of answers to selected problems. 1994 edition.

Introduction to Partial Differential Equations

Author: Arne Broman
Publisher: Courier Corporation
ISBN: 9780486153018
Release Date: 2012-04-27
Genre: Mathematics

The self-contained treatment covers Fourier series, orthogonal systems, Fourier and Laplace transforms, Bessel functions, and partial differential equations of the first and second orders. 266 exercises with solutions. 1970 edition.

Fourier and Laplace Transforms

Author: R. J. Beerends
Publisher: Cambridge University Press
ISBN: 0521534410
Release Date: 2003-08-07
Genre: Mathematics

This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science.

A First Course in Partial Differential Equations

Author: H. F. Weinberger
Publisher: Courier Corporation
ISBN: 9780486132044
Release Date: 2012-04-20
Genre: Mathematics

Suitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the elementary theory of complex variables. Solutions. 1965 edition.

Applied Partial Differential Equations

Author: Paul DuChateau
Publisher: Courier Corporation
ISBN: 9780486141879
Release Date: 2012-10-30
Genre: Mathematics

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

Partielle Differentialgleichungen

Author: Walter A. Strauss
Publisher: Springer-Verlag
ISBN: 9783663124863
Release Date: 2013-08-13
Genre: Mathematics

Dieses Buch ist eine umfassende Einführung in die klassischen Lösungsmethoden partieller Differentialgleichungen. Es wendet sich an Leser mit Kenntnissen aus einem viersemestrigen Grundstudium der Mathematik (und Physik) und legt seinen Schwerpunkt auf die explizite Darstellung der Lösungen. Es ist deshalb besonders auch für Anwender (Physiker, Ingenieure) sowie für Nichtspezialisten, die die Methoden der mathematischen Physik kennenlernen wollen, interessant. Durch die große Anzahl von Beispielen und Übungsaufgaben eignet es sich gut zum Gebrauch neben Vorlesungen sowie zum Selbststudium.

Boundary Value Problems of Heat Conduction

Author: M. Necati Ozisik
Publisher: Courier Corporation
ISBN: 9780486782867
Release Date: 2013-11-26
Genre: Technology & Engineering

Intended for first-year graduate courses in heat transfer, this volume includes topics relevant to chemical and nuclear engineering and aerospace engineering. The systematic and comprehensive treatment employs modern mathematical methods of solving problems in heat conduction and diffusion. Starting with precise coverage of heat flux as a vector, derivation of the conduction equations, integral-transform technique, and coordinate transformations, the text advances to problem characteristics peculiar to Cartesian, cylindrical, and spherical coordinates; application of Duhamel's method; solution of heat-conduction problems; and the integral method of solution of nonlinear conduction problems. Additional topics include useful transformations in the solution of nonlinear boundary value problems of heat conduction; numerical techniques such as the finite differences and the Monte Carlo method; and anisotropic solids in relation to resistivity and conductivity tensors. Illustrative examples and problems amplify the text, which is supplemented by helpful appendixes.

Fourier Series

Author: Georgi P. Tolstov
Publisher: Courier Corporation
ISBN: 9780486141749
Release Date: 2012-03-14
Genre: Mathematics

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, and more. Over 100 problems. 1962 edition.

Boundary and Eigenvalue Problems in Mathematical Physics

Author: Hans Sagan
Publisher: Courier Corporation
ISBN: 9780486150925
Release Date: 2012-04-26
Genre: Science

Well-known text uses a few basic concepts to solve such problems as the vibrating string, vibrating membrane, and heat conduction. Problems and solutions. 31 illustrations.

Partial Differential Equations for Scientists and Engineers

Author: Stanley J. Farlow
Publisher: Courier Corporation
ISBN: 9780486134734
Release Date: 2012-03-08
Genre: Mathematics

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

Author: Donald Greenspan
Publisher: Courier Corporation
ISBN: 9780486150932
Release Date: 2012-05-04
Genre: Mathematics

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.

Harmonic Analysis and the Theory of Probability

Author: Salomon Bochner
Publisher: Courier Corporation
ISBN: 9780486154800
Release Date: 2013-11-07
Genre: Mathematics

Written by a distinguished mathematician and educator, this classic text emphasizes stochastic processes and the interchange of stimuli between probability and analysis. It also introduces the author's innovative concept of the characteristic functional. 1955 edition.