Partial Differential Equations With Fourier Series And Boundary Value Problems

Author : Mark A. Pinsky
Publisher : American Mathematical Soc.
Page : 545 pages
File Size : 51,9 Mb
Release : 2011
Category : Mathematics
ISBN : 9780821868898

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Partial Differential Equations and Boundary-Value Problems with Applications by Mark A. Pinsky Pdf

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 coordinate systems--rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. Bessel and Legendre functions are studied and used whenever appropriate throughout the text. The notions of steady-state solution of closely related stationary solutions are developed for the heat equation; applications to the study of heat flow in the earth are presented. The problem of the vibrating string is studied in detail both in the Fourier transform setting and from the viewpoint of the explicit representation (d'Alembert formula). Additional chapters include the numerical analysis of solutions and the method of Green's functions for solutions of partial differential equations. The exposition also includes asymptotic methods (Laplace transform and stationary phase). With more than 200 working examples and 700 exercises (more than 450 with answers), the book is suitable for an undergraduate course in partial differential equations.

Author : Nakhle H. Asmar
Publisher : Courier Dover Publications
Page : 818 pages
File Size : 41,5 Mb
Release : 2017-03-23
Category : Mathematics
ISBN : 9780486820835

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Partial Differential Equations with Fourier Series and Boundary Value Problems by Nakhle H. Asmar Pdf

Rich in proofs, examples, and exercises, this widely adopted text emphasizes physics and engineering applications. The Student Solutions Manual can be downloaded free from Dover's site; the Instructor Solutions Manual is available upon request. 2004 edition, with minor revisions.

Author : Arne Broman
Publisher : Courier Corporation
Page : 196 pages
File Size : 43,5 Mb
Release : 2012-04-27
Category : Mathematics
ISBN : 9780486153018

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Introduction to Partial Differential Equations by Arne Broman Pdf

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.

Author : Richard Haberman
Publisher : Pearson
Page : 784 pages
File Size : 51,8 Mb
Release : 2018-03-15
Category : Boundary value problems
ISBN : 0134995430

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Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Classic Version) by Richard Haberman Pdf

This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. Applied Partial Differential Equations with Fourier Series and Boundary Value Problems emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text is ideal for readers interested in science, engineering, and applied mathematics.

Author : Mark A. Pinsky
Publisher : New York : McGraw-Hill
Page : 498 pages
File Size : 53,7 Mb
Release : 1991
Category : Mathematics
ISBN : UOM:39015022350774

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Partial Differential Equations and Boundary-value Problems with Applications by Mark A. Pinsky Pdf

Written for advanced level courses in Partial Differential Equations (sometimes called Fourier Series or Boundary Value Problems) in departments of Maths, Physics, and Engineering. Both Calculus and Differential Equations are prerequisites for this course. Pinsky's text, while still covering more traditional material in early chapters, de-emphasizes the use of special functions and rigorous proofs while emphasizing the use of Green's function, approximation methods, numerical methods, and asymptotic methods.

Author : Ravi P. Agarwal,Donal O'Regan
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 46,7 Mb
Release : 2008-11-13
Category : Mathematics
ISBN : 9780387791463

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Ordinary and Partial Differential Equations by Ravi P. Agarwal,Donal O'Regan Pdf

In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided at the end of each chapter for practice. The treatment of ODEs is developed in conjunction with PDEs and is aimed mainly towards applications. The book covers important applications-oriented topics such as solutions of ODEs in form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of Fourier series. Undergraduate and graduate students in mathematics, physics and engineering will benefit from this book. The book assumes familiarity with calculus.

Author : David L. Powers
Publisher : Unknown
Page : 552 pages
File Size : 55,6 Mb
Release : 1999
Category : Mathematics
ISBN : STANFORD:36105022133354

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Boundary Value Problems by David L. Powers Pdf

Boundary Value Problems, Fourth Edition, continues to be the leading text on boundary value problems and Fourier series. The author, David Powers, has written a thorough, theoretical overview of solving partial differential equations by the methods of separation of variables. The text is comprised of five comprehensive parts which include: a prerequisite summary of ordinary differential equations, Fourier series, and solving linear partial differential equations by separation of variable methods, by Laplace transform methods, and by numerical methods. Professors and students agree that the author is a master at creating linear problems that adroitly illustrate the techniques of separation of variables used to solve science and engineering problems.

Author : Nakhlé H. Asmar
Publisher : Unknown
Page : 616 pages
File Size : 52,9 Mb
Release : 2000
Category : Mathematics
ISBN : STANFORD:36105119754997

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Partial Differential Equations and Boundary Value Problems by Nakhlé H. Asmar Pdf

For introductory courses in PDEs taken by majors in engineering, physics, and mathematics. Packed with examples, this text provides a smooth transition from a course in elementary ordinary differential equations to more advanced concepts in a first course in partial differential equations. Asmar's relaxed style and emphasis on applications make the material understandable even for students with limited exposure to topics beyond calculus. This computer-friendly text encourages the use of computer resources for illustrating results and applications, but it is also suitable for use without computer access. Additional specialized topics are included that are covered independently of each other and can be covered by instructors as desired.

Author : Nakhlé H. Asmar
Publisher : Prentice Hall
Page : 824 pages
File Size : 50,6 Mb
Release : 2005
Category : Boundary value problems
ISBN : UCSC:32106018961745

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Partial Differential Equations with Fourier Series and Boundary Value Problems by Nakhlé H. Asmar Pdf

This example-rich reference fosters a smooth transition from elementary ordinary differential equations to more advanced concepts. Asmar's relaxed style and emphasis on applications make the material accessible even to readers with limited exposure to topics beyond calculus. Encourages computer for illustrating results and applications, but is also suitable for use without computer access. Contains more engineering and physics applications, and more mathematical proofs and theory of partial differential equations, than the first edition. Offers a large number of exercises per section. Provides marginal comments and remarks throughout with insightful remarks, keys to following the material, and formulas recalled for the reader's convenience. Offers Mathematica files available for download from the author's website. A useful reference for engineers or anyone who needs to brush up on partial differential equations.

Author : Richard Haberman
Publisher : Prentice Hall
Page : 568 pages
File Size : 55,8 Mb
Release : 1987
Category : Mathematics
ISBN : UOM:39015047725059

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Elementary Applied Partial Differential Equations by Richard Haberman Pdf

This text is designed for engineers, scientists, and mathematicians with a background in elementary ordinary differential equations and calculus.

Author : David L. Powers
Publisher : Academic Press
Page : 152 pages
File Size : 45,5 Mb
Release : 2009-07-13
Category : Science
ISBN : 9780123756640

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Student Solutions Manual, Boundary Value Problems by David L. Powers Pdf

Student Solutions Manual, Boundary Value Problems

Author : Richard Bernatz
Publisher : John Wiley & Sons
Page : 336 pages
File Size : 45,8 Mb
Release : 2010-07-30
Category : Mathematics
ISBN : 9780470651377

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Fourier Series and Numerical Methods for Partial Differential Equations by Richard Bernatz Pdf

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 Methods for Partial Differential Equations presents an introduction to the analytical and numerical methods that are essential for working with partial differential equations. Combining methodologies from calculus, introductory linear algebra, and ordinary differential equations (ODEs), the book strengthens and extends readers' knowledge of the power of linear spaces and linear transformations for purposes of understanding and solving a wide range of PDEs. The book begins with an introduction to the general terminology and topics related to PDEs, including the notion of initial and boundary value problems and also various solution techniques. Subsequent chapters explore: The solution process for Sturm-Liouville boundary value ODE problems and a Fourier series representation of the solution of initial boundary value problems in PDEs The concept of completeness, which introduces readers to Hilbert spaces The application of Laplace transforms and Duhamel's theorem to solve time-dependent boundary conditions The finite element method, using finite dimensional subspaces The finite analytic method with applications of the Fourier series methodology to linear version of non-linear PDEs Throughout the book, the author incorporates his own class-tested material, ensuring an accessible and easy-to-follow presentation that helps readers connect presented objectives with relevant applications to their own work. Maple is used throughout to solve many exercises, and a related Web site features Maple worksheets for readers to use when working with the book's one- and multi-dimensional problems. Fourier Series and Numerical Methods for Partial Differential Equations is an ideal book for courses on applied mathematics and partial differential equations at the upper-undergraduate and graduate levels. It is also a reliable resource for researchers and practitioners in the fields of mathematics, science, and engineering who work with mathematical modeling of physical phenomena, including diffusion and wave aspects.

Author : David L. Powers
Publisher : Academic Press
Page : 516 pages
File Size : 42,7 Mb
Release : 2006
Category : Mathematics
ISBN : 9780125637381

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Boundary Value Problems by David L. Powers Pdf

Preface -- Chapter 0. Ordinary Differential Equations -- Chapter 1. Fourier Series and Integrals -- Chapter 2. The Heat Equation -- Chapter 3. The Wave Equation -- Chapter 4. The Potential Equation -- Chapter 5. Higher Dimensions & Other Coordinates.

Author : Larry C. Andrews
Publisher : Academic Press
Page : 546 pages
File Size : 45,6 Mb
Release : 1986
Category : Mathematics
ISBN : UOM:39015015703336

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Elementary Partial Differential Equations with Boundary Value Problems by Larry C. Andrews Pdf

Author : Richard Haberman
Publisher : Unknown
Page : 769 pages
File Size : 55,7 Mb
Release : 2004
Category : Boundary value problems
ISBN : 7111159101

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Applied Partial Differential Equations by Richard Haberman Pdf