Advanced Mathematical Methods in Science and Engineering 2nd Edition by S.I. Hayek (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review 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 About the Author S.I. Hayek is a Distinguished Professor of Engineering Mechanics at Pennsylvania State University.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is a very high-level book, and the first few chapters are not helpful at teaching the subjects they cover. It may be more helpful for those needing a reference or refresher, but is not meant to teach the subjects.

⭐I gave them a rating of 5 out of 5, since the quality of the book was as advertised and it arrived as advertised. Very happy.

⭐This is indeed an excellent book on advanced mathematical topics that all graduate students in science and engineering need to master. The selection and number of problems solved and the thoroughness and clarity of presentation of difficult topics make it the best possible resource for both teachers and graduate level learners or the professionals who need to refresh their memory. Highly recommended!

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