Advanced Mathematical Methods in Science and Engineering

S.I. Hayek

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English

Chapman & Hall/CRC
14 October 2024

Differential calculus & equations; Applied mathematics; Mathematical physics; Environmental science, engineering & technology

Classroom-tested, Advanced Mathematical Methods in Science and Engineering, Second Edition presents methods of applied mathematics that are particularly suited to address physical problems in science and engineering. Numerous examples illustrate the various methods of solution and answers to the end-of-chapter problems are included at the back of the book.

After introducing integration and solution methods of ordinary differential equations (ODEs), the book presents Bessel and Legendre functions as well as the derivation and methods of solution of linear boundary value problems for physical systems in one spatial dimension governed by ODEs. It also covers complex variables, calculus, and integrals; linear partial differential equations (PDEs) in classical physics and engineering; the derivation of integral transforms; Green’s functions for ODEs and PDEs; asymptotic methods for evaluating integrals; and the asymptotic solution of ODEs. New to this edition, the final chapter offers an extensive treatment of numerical methods for solving non-linear equations, finite difference differentiation and integration, initial value and boundary value ODEs, and PDEs in mathematical physics. Chapters that cover boundary value problems and PDEs contain derivations of the governing differential equations in many fields of applied physics and engineering, such as wave mechanics, acoustics, heat flow in solids, diffusion of liquids and gases, and fluid flow.

An update of a bestseller, this second edition continues to give students the strong foundation needed to apply mathematical techniques to the physical phenomena encountered in scientific and engineering applications.

By: S.I. Hayek
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Edition: 2nd edition
Dimensions: Height: 254mm, Width: 178mm,
Weight: 1.596kg
ISBN: 9781032917429
ISBN 10: 1032917423
Pages: 866
Publication Date: 14 October 2024
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

Ordinary Differential Equations. Series Solutions of Ordinary Differential Equations. Special Functions. Boundary Value Problems and Eigenvalue Problems. Functions of a Complex Variable. Partial Differential Equations of Mathematical Physics. Integral Transforms. Green’s Functions. Asymptotic Methods. Numerical Methods. Appendices. References. Answers. Index.

S.I. Hayek is a Distinguished Professor of Engineering Mechanics at Pennsylvania State University.

Reviews for Advanced Mathematical Methods in Science and Engineering

S.I. Hayek’s Advanced Mathematical Methods in Science and Engineering covers a wide range of applied mathematics centered around differential equations. … Hayek’s book contains a great deal of useful information … —MAA Reviews, October 2010