Advanced Mathematical Methods in Science and Engineering (2nd Ed.)
Auteur : Hayek S.I.
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.
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.
Date de parution : 06-2010
Ouvrage de 844 p.
17.8x25.4 cm
Thèmes d’Advanced Mathematical Methods in Science and Engineering :
Mots-clés :
Ordinary Differential Equations; Non-homogeneous Boundary Conditions; numerical methods; Laplace Transform; ordinary differential equation (ODE); Hankel Transform; partial differential equation (PDE); Recurrence Formula; Green’s functions; Generalized Fourier Series; self-adjoint systems; Helmholtz Equation; orthogonal series; RSP; boundary value problems; Dx2 Dx; wave mechanics; Green's Function; acoustics; Boundary Condition; heat flow in solids; Fourier Cosine Transform; diffusion of liquids and gases; Fourier Sine Transform; fluid flow; Steady State Temperature Distribution; integral transforms; Auxiliary Function; mathematical physics; Branch Cut; Irregular Singular Point; Asymptotic Series; Complex Fourier Transform; C1 JP; Neumann Boundary Condition; Dirichlet Boundary Condition; Helmholtz Operator; Closed Contour; Semi-infinite Rod
