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Computational Methods for Linear Integral Equations (Hardcover, 2002 ed.): Prem Kythe, Pratap Puri Computational Methods for Linear Integral Equations (Hardcover, 2002 ed.)
Prem Kythe, Pratap Puri
R1,782 Discovery Miles 17 820 Ships in 12 - 19 working days

Integral equations have wide applications in various fields, including continuum mechanics, potential theory, geophysics, electricity and magnetism, kinetic theory of gases, hereditary phenomena in physics and biology, renewal theory, quantum mechanics, radiation, optimization, optimal control systems, communication theory, mathematical economics, population genetics, queueing theory, and medicine.

Computational Methods for Linear Integral Equations presents basic theoretical material that deals with numerical analysis, convergence, error estimates, and accuracy. The unique computational aspect leads the reader from theoretical and practical problems all the way through to computation with hands-on guidance for input files and the execution of computer programs.

Features:

* Offers all supporting MathematicaA(R) files related to the book via the Internet at the authors' Web sites: www.math.uno.edu/fac/pkythe.html or www.math.uno.edu/fac/ppuri.html

* Contains identification codes for problems, related methods, and computer programs that are cross-referenced throughout the book to make the connections easy to understand

* Illustrates a how-to approach to computational work in the development of algorithms, construction of input files, timing, and accuracy analysis

* Covers linear integral equations of Fredholm and Volterra types of the first and second kinds as well as associated singular integral equations, integro-differential equations, and eigenvalue problems

* Provides clear, step-by-step guidelines for solving difficult and complex computational problems

This book is an essential reference and authoritative resource for all professionals, graduate students, and researchers in mathematics, physical sciences, and engineering. Researchers interested in the numerical solution of integral equations will find its practical problem-solving style both accessible and useful for their work.

Partial Differential Equations and Mathematica (Hardcover, 2nd edition): Prem K. Kythe, Michael R. Schaferkotter, Pratap Puri Partial Differential Equations and Mathematica (Hardcover, 2nd edition)
Prem K. Kythe, Michael R. Schaferkotter, Pratap Puri
R4,509 Discovery Miles 45 090 Ships in 12 - 19 working days

Early training in the elementary techniques of partial differential equations is invaluable to students in engineering and the sciences as well as mathematics. However, to be effective, an undergraduate introduction must be carefully designed to be challenging, yet still reasonable in its demands. Judging from the first edition's popularity, instructors and students agree that despite the subject's complexity, it can be made fairly easy to understand.

Revised and updated to reflect the latest version of Mathematica, Partial Differential Equations and Boundary Value Problems with Mathematica, Second Edition meets the needs of mathematics, science, and engineering students even better. While retaining systematic coverage of theory and applications, the authors have made extensive changes that improve the text's accessibility, thoroughness, and practicality.

New in this edition:

· Upgraded and expanded Mathematica sections that include more exercises
· An entire chapter on boundary value problems
· More on inverse operators, Legendre functions, and Bessel functions
· Simplified treatment of Green's functions that make it more accessible to undergraduates
· A section on the numerical computation of Green's functions
· Mathemcatica codes for solving most of the problems discussed
· Boundary value problems from continuum mechanics, particularly on boundary layers and fluctuating flows
· Wave propagation and dispersion

With its emphasis firmly on solution methods, this book is ideal for any mathematics curricula. It succeeds not only in preparing readers to meet the challenge of PDEs, but also in imparting the inherent beauty and applicability of the subject.

Computational Methods for Linear Integral Equations (Paperback, Softcover reprint of the original 1st ed. 2002): Prem Kythe,... Computational Methods for Linear Integral Equations (Paperback, Softcover reprint of the original 1st ed. 2002)
Prem Kythe, Pratap Puri
R1,591 Discovery Miles 15 910 Ships in 10 - 15 working days

Integral equations have wide applications in various fields, including continuum mechanics, potential theory, geophysics, electricity and magnetism, kinetic theory of gases, hereditary phenomena in physics and biology, renewal theory, quantum mechanics, radiation, optimization, optimal control systems, communication theory, mathematical economics, population genetics, queueing theory, and medicine. Computational Methods for Linear Integral Equations presents basic theoretical material that deals with numerical analysis, convergence, error estimates, and accuracy. The unique computational aspect leads the reader from theoretical and practical problems all the way through to computation with hands-on guidance for input files and the execution of computer programs. Features: * Offers all supporting Mathematica(R) files related to the book via the Internet at the authors' Web sites: www.math.uno.edu/fac/pkythe.html or www.math.uno.edu/fac/ppuri.html * Contains identification codes for problems, related methods, and computer programs that are cross-referenced throughout the book to make the connections easy to understand * Illustrates a how-to approach to computational work in the development of algorithms, construction of input files, timing, and accuracy analysis * Covers linear integral equations of Fredholm and Volterra types of the first and second kinds as well as associated singular integral equations, integro-differential equations, and eigenvalue problems * Provides clear, step-by-step guidelines for solving difficult and complex computational problems This book is an essential reference and authoritative resource for all professionals, graduate students, and researchers in mathematics, physical sciences, and engineering.Researchers interested in the numerical solution of integral equations will find its practical problem-solving style both accessible and useful for their work.

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