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.

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.

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: H. G. ter Morsche
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.

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.

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

Mathematical Methods in Physics and Engineering

Author: John W. Dettman
Publisher: Courier Corporation
ISBN: 9780486169361
Release Date: 2013-01-23
Genre: Technology & Engineering

Algebraically based approach to vectors, mapping, diffraction, and other topics covers generalized functions, analytic function theory, Hilbert spaces, calculus of variations, boundary value problems, integral equations, more. 1969 edition.

CRC Concise Encyclopedia of Mathematics Second Edition

Author: Eric W. Weisstein
Publisher: CRC Press
ISBN: 9781420035223
Release Date: 2002-12-12
Genre: Mathematics

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the dedication of author Eric Weisstein to collecting, cataloging, and referencing mathematical facts, formulas, and definitions. He has now updated most of the original entries and expanded the Encyclopedia to include 1000 additional pages of illustrated entries. The accessibility of the Encyclopedia along with its broad coverage and economical price make it attractive to the widest possible range of readers and certainly a must for libraries, from the secondary to the professional and research levels. For mathematical definitions, formulas, figures, tabulations, and references, this is simply the most impressive compendium available.

Fourier Series and Orthogonal Functions

Author: Harry F. Davis
Publisher: Courier Corporation
ISBN: 9780486140735
Release Date: 2012-09-05
Genre: Mathematics

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.

Introduction to Partial Differential Equations

Author: Donald Greenspan
Publisher: Courier Corporation
ISBN: 0486414507
Release Date: 2000
Genre: Mathematics

Rigorous presentation, designed for use in a 1-semester course, explores basics; Fourier series; 2nd-order partial differential equations; wave, potential, and heat equations; approximate solution of partial differential equations, more. Exercises. 1961 edition.

Fourier Series and Orthogonal Polynomials

Author: Dunham Jackson
Publisher: Courier Corporation
ISBN: 0486438082
Release Date: 2004-01-01
Genre: Mathematics

This text illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Begins with a definition and explanation of the elements of Fourier series, and examines Legendre polynomials and Bessel functions. Also includes Pearson frequency functions and chapters on orthogonal, Jacobi, Hermite, and Laguerre polynomials, more. 1941 edition.

Boundary and Eigenvalue Problems in Mathematical Physics

Author: Hans Sagan
Publisher: Courier Corporation
ISBN: 0486661326
Release Date: 1989-01-01
Genre: Science

This well-known advanced undergraduate- and graduate-level text uses a few basic concepts to solve and develop complete answers to linear homogeneous partial differential equations such as the problems of the vibrating string, the vibrating membrane, and heat conduction. With problems and solutions. 31 illustrations.