Advanced Engineering Mathematics with MATLAB

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CRC Press, 12 déc. 2016 - 1004 pages

Advanced Engineering Mathematics with MATLAB, Fourth Edition builds upon three successful previous editions. It is written for today’s STEM (science, technology, engineering, and mathematics) student.

Three assumptions under lie its structure: (1) All students need a firm grasp of the traditional disciplines of ordinary and partial differential equations, vector calculus and linear algebra. (2) The modern student must have a strong foundation in transform methods because they provide the mathematical basis for electrical and communication studies. (3) The biological revolution requires an understanding of stochastic (random) processes. The chapter on Complex Variables, positioned as the first chapter in previous editions, is now moved to Chapter 10.

The author employs MATLAB to reinforce concepts and solve problems that require heavy computation. Along with several updates and changes from the third edition, the text continues to evolve to meet the needs of today’s instructors and students.

Features:

  • Complex Variables, formerly Chapter 1, is now Chapter 10.

  • A new Chapter 18: Itô’s Stochastic Calculus.

  • Implements numerical methods using MATLAB, updated and expanded

  • Takes into account the increasing use of probabilistic methods in engineering and the physical sciences

  • Includes many updated examples, exercises, and projects drawn from the scientific and engineering literature

  • Draws on the author’s many years of experience as a practitioner and instructor

  • Gives answers to odd-numbered problems in the back of the book

  • Offers downloadable MATLAB code at www.crcpress.com
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    Pages sélectionnées

    Table des matières

    CLASSIC ENGINEERING MATHEMATICS
    		1
    TRANSFORM METHODS
    		441
    STOCHASTIC PROCESSES
    		803
    Answers to the OddNumbered Problems
    		945
    Index
    		971
    Droits d'auteur

    Autres éditions - Tout afficher

    Advanced Engineering Mathematics with MATLAB
    Dean G. Duffy
    Aperçu limité - 2016
    Advanced Engineering Mathematics with MATLAB
    Dean G. Duffy
    Aucun aperçu disponible - 2017

    Expressions et termes fréquents

    amplitude apply assume becomes begin boundary conditions called Chapter closed coefficients complex compute Consequently Consider constant continuous contour corresponding defined definition denotes depends derivative determine difference direction distribution eigenfunction elements equals evaluate Example expansion express Figure Finally finite forcing Fourier series Fourier transform frequency function given gives Green's function harmonic heat illustrate independent infinite initial condition integral interval introduce inverse Laplace transform linear MATLAB matrix mean method motion Note obtain ordinary differential equations partial particular phase plot positive probability problem properties random variable root satisfies separation side simple solution solve Step stochastic stochastic differential equation Substituting surface technique temperature theorem vector yields zero ди

    À propos de l'auteur (2016)

    Dean G. Duffy is a former mathematics instructor at the US Naval Academy and US Military Academy. He spent 25 years working on numerical weather prediction, oceanic wave modeling, and dynamical meteorology at NASA’s Goddard Space Flight Center. Prior to this, he was a numerical weather prediction officer in the US Air Force. He earned his Ph.D. in meteorology from MIT. Dr. Duffy has written several books on transform methods, engineering mathematics, Green’s functions, and mixed boundary value problems.

    Informations bibliographiques

    TitreAdvanced Engineering Mathematics with MATLAB
    Advances in Applied Mathematics
    AuteurDean G. Duffy
    Édition4, révisée
    ÉditeurCRC Press, 2016
    ISBN1498739679, 9781498739672
    Longueur1004 pages
      
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