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Engineering mathematics with MATLAB / Won Y. Yang, Young K. Choi, Jaekwon Kim, Man Cheol Kim, H. Jin Kim, Taeho Im.

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Boca Raton : CRC Press, c2018.Description: xiv, 741 pages : illustrations ; 29 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9781138059337 (hardback)
Subject(s): LOC classification:
  • TA330 Y1 2018
Online resources:
Contents:
Chapter 1: Vectors and matrices -- Vectors -- Matrices -- Systems of linear equations -- Chapter 2: Vector calculus -- Derivatives -- Vector functions -- Velocity and acceleration -- Divergence and curl -- Lien integrals and path independence -- Double integrals -- Green’s theorem -- Surface integrals -- Stokes’ theorem -- Triple integrals -- Divergence theorem -- Chapter 3: Ordinary differential equations -- First-order differential equations -- Higher-order differential equations -- Special second-order linear ODEs -- Boundary value problems -- Chapter 4: The Laplace transform -- Definition of the Laplace transform -- Properties of the Laplace transform -- The inverse Laplace transform -- Using the Laplace Transform -- Transfer function of a continuous-time system -- Chapter 5: The Z-transform -- Definition of the-transform -- Properties of the Z-transform -- The inverse Z-transform -- Using the Z-transform -- Transfer function of a discrete-time system -- Differential equation and difference equation -- Chapter 6: Fourier series and Fourier transform -- Continuous-time Fourier transform (CTFS) -- Continuous-time Fourier transform (CTFT) -- Discrete-time Fourier transform (DTFT) -- Discrete Fourier transform (DFT) -- Fast Fourier transform (FFT) -- Fourier – Bessel/Legendre/chebyshev/cosine/sine series -- Chapter 7: Partial differential equation -- Elliptic PDE -- Parabolic PDE -- Hyperbolic PDES -- PDES in other coordinate systems -- Laplace/Fourier transforms for solving PDES -- Chapter 8: Complex analysis -- Functions of complex variable -- Conformal mapping -- Integration of complex functions -- Series and residues -- Chapter 9: Optimization -- Unconstrained optimization -- Constrained optimization -- MATLAB built-in functions for optimization -- Chapter 10: Probability -- Probability -- Random variables -- MC estimator and MAP estimator -- Appendix A: Tables of various transforms -- Appendix B: Differentiation w.r.t. vector -- Appendix C: Useful formulas -- Appendix D: Gamma function -- Appendix E: MATLAB -- Appendix F: Simulink.
Summary: "Engineering mathematics with MATLAB aims to bridge the gap between MATLAB software and theory, and equations appearing in the field of engineering mathematics. Thus, readers can feel free to utilize the MATLAB software for the study of mathematical content and become much more interested in engineering mathematics than ever before."--Back cover
List(s) this item appears in: Print Books 2022
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Item type Current library Collection Call number Materials specified URL Status Notes Date due Barcode
Books Books Ladislao N. Diwa Memorial Library Reserve Section Non-fiction RUS TA330 Y1 2018 (Browse shelf(Opens below)) Link to resource Room use only 77845 00077794

Includes bibliographical references and index.

Chapter 1: Vectors and matrices -- Vectors -- Matrices -- Systems of linear equations -- Chapter 2: Vector calculus -- Derivatives -- Vector functions -- Velocity and acceleration -- Divergence and curl -- Lien integrals and path independence -- Double integrals -- Green’s theorem -- Surface integrals -- Stokes’ theorem
-- Triple integrals -- Divergence theorem -- Chapter 3: Ordinary differential equations -- First-order differential equations -- Higher-order differential equations -- Special second-order linear ODEs -- Boundary value problems -- Chapter 4: The Laplace transform -- Definition of the Laplace transform -- Properties of the Laplace transform -- The inverse Laplace transform -- Using the Laplace Transform -- Transfer function of a continuous-time system -- Chapter 5: The Z-transform -- Definition of the-transform -- Properties of the Z-transform -- The inverse Z-transform -- Using the Z-transform -- Transfer function of a discrete-time system -- Differential equation and difference equation -- Chapter 6: Fourier series and Fourier transform -- Continuous-time Fourier transform (CTFS) --
Continuous-time Fourier transform (CTFT) -- Discrete-time Fourier transform (DTFT) -- Discrete Fourier transform (DFT) -- Fast Fourier transform (FFT) -- Fourier – Bessel/Legendre/chebyshev/cosine/sine series -- Chapter 7: Partial differential equation -- Elliptic PDE -- Parabolic PDE -- Hyperbolic PDES -- PDES in other coordinate systems -- Laplace/Fourier transforms for solving PDES -- Chapter 8: Complex analysis -- Functions of complex variable -- Conformal mapping --
Integration of complex functions -- Series and residues -- Chapter 9: Optimization -- Unconstrained optimization -- Constrained optimization -- MATLAB built-in functions for optimization -- Chapter 10: Probability -- Probability -- Random variables -- MC estimator and MAP estimator -- Appendix A: Tables of various transforms -- Appendix B: Differentiation w.r.t. vector -- Appendix C: Useful formulas -- Appendix D: Gamma function -- Appendix E: MATLAB -- Appendix F: Simulink.



"Engineering mathematics with MATLAB aims to bridge the gap between MATLAB software and theory, and equations appearing in the field of engineering mathematics. Thus, readers can feel free to utilize the MATLAB software for the study of mathematical content and become much more interested in engineering mathematics than ever before."--Back cover

Fund 164 Linar Educational Materials, Inc. Purchased 11-09-2016 77845 NEJ PHP 8272.80 2019-11-900 2019-1-0739

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