Modern Mathematical Methods for Computational Sciences and Engineering: A Street-smart Introduction
Language: English
Published by World Scientific Pub Co Inc, 2022
- Hardcover
- New
Seller: Revaluation Books, Exeter, United KingdomRevaluation Books
AbeBooks seller since January 6, 2003
Condition: New
£ 235.21
Quantity: 2 available
Add to basketItem description from seller
512 pages. 11.22x8.82x0.83 inches. In Stock.
Seller Inventory # __1800611803
- Title
- Modern Mathematical Methods for Computational Sciences and Engineering: A Street-smart Introduction
- Author
- Fokas, Athanassios S./ Kaxiras, Efthimios
- Publisher
- World Scientific Pub Co Inc
- Publication year
- 2022
- Condition
- Brand New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 1800611803
- ISBN 13
- 9781800611801
- Item weight
- 1.34 kilograms
A unique and novel feature of the book is the introduction of a recently developed method for solving partial differential equations (PDEs), called the unified transform. PDEs are the mathematical cornerstone for describing an astonishingly wide range of phenomena, from quantum mechanics to ocean waves, to the diffusion of heat in matter and the behavior of financial markets. Despite the efforts of many famous mathematicians, physicists and engineers, the solution of partial differential equations remains a challenge.
The unified transform greatly facilitates this task. For example, two and a half centuries after Jean d'Alembert formulated the wave equation and presented a solution for solving a simple problem for this equation, the unified transform derives in a simple manner a generalization of the d'Alembert solution, valid for general boundary value problems. Moreover, two centuries after Joseph Fourier introduced the classical tool of the Fourier series for solving the heat equation, the unified transform constructs a new solution to this ubiquitous PDE, with important analytical and numerical advantages in comparison to the classical solutions. The authors present the unified transform pedagogically, building all the necessary background, including functions of real and of complex variables and the Fourier transform, illustrating the method with numerous examples.
Broad in scope, but pedagogical in style and content, the book is an introduction to powerful mathematical concepts and modern tools for students in science and engineering.
"Synopsis" may belong to another edition of this title.
Revaluation Books
Exeter, United Kingdom
AbeBooks seller since January 6, 2003
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Edward Bowditch Ltd
Exstowe, Exton
Exeter, United Kingdom EX3 0PP
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