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Mathematical methods with applications / M. Rahman.

By: Rahman, M. (Matiur), 1940-.
Material type: materialTypeLabelBookPublisher: Southampton, UK ; Boston : WIT Press, ©2000Description: 436, [2] pages : illustrations ; 25 cm + 1 computer optical disc (4 3/4 in.).ISBN: 1853128473; 9781853128479.Subject(s): MATHEMATICS | ANALYSIS (MATHEMATICAL) | DIFFERENTIAL EQUATIONS | METHODS | PHYSICAL SCIENCES | METHODSHoldings: GRETA POINT: 517.4 RAH
Contents:
1. Ordinary differential equations -- 2. Fourier series and Fourier transform -- 3. Laplace transforms -- 4. Series solution: method of Frobenius -- 5. Partial differential equations -- 6. Bessel functions and Legendre polynomials -- 7. Applications -- 8. Green's function -- 9. Integral transforms -- Bibliography -- Index.
Summary: A clear and well-organized description of the mathematical methods required for solving physical problems. Fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions of differential equations are provided. The author focuses in particular on differential equations applied to physical problems. Emphasis is placed on ordinary differential equations, operator methods, Fourier series, the convolution integral, periodic signals, energy and power spectra, the Frobenius method, Fourier and Laplace Transforms, Hankel and Z-Transforms, Green's function method, similarity techniques, method of characteristics, separation of variables method, Bessel functions and Legendre polynomials. Many practical examples are used and an accompanying CD-ROM features exercises, selected answers and an appendix with short tables of Z-transforms, Fourier, Hankel and Laplace transforms.
Holdings
Item type Current library Call number Copy number Status Date due Barcode
BOOK BOOK WELLINGTON BOOKS 517.4 RAH 1 Available B021393

Includes bibliographical references (pages 437-438) and index.

1. Ordinary differential equations -- 2. Fourier series and Fourier transform -- 3. Laplace transforms -- 4. Series solution: method of Frobenius -- 5. Partial differential equations -- 6. Bessel functions and Legendre polynomials -- 7. Applications -- 8. Green's function -- 9. Integral transforms -- Bibliography -- Index.

A clear and well-organized description of the mathematical methods required for solving physical problems. Fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions of differential equations are provided. The author focuses in particular on differential equations applied to physical problems. Emphasis is placed on ordinary differential equations, operator methods, Fourier series, the convolution integral, periodic signals, energy and power spectra, the Frobenius method, Fourier and Laplace Transforms, Hankel and Z-Transforms, Green's function method, similarity techniques, method of characteristics, separation of variables method, Bessel functions and Legendre polynomials. Many practical examples are used and an accompanying CD-ROM features exercises, selected answers and an appendix with short tables of Z-transforms, Fourier, Hankel and Laplace transforms.

System requirements for accompanying computer disc (PC): 486 or Pentium processor; 10-16 MB RAM (16 MB recommended), 10 MB hard disk space; Windows 95/98/NT; Adobe Acrobat reader 4. System requirements for accompanying computer disc (Macintosh): Apple PowerMacintosh (or compatible); 4.5 MB RAM (6.5 MB recommended), 8 MB available hard disk space; Adobe Acrobat reader 4. Can also be used on UNIX platforms.

GRETA POINT: 517.4 RAH

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