Advanced Engineering Mathematics with MATLAB
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Table of contents:Introduction. Complex Variables. First-Order Ordinary Differential Equations. Higher-Order Ordinary Differential Equations. Fourier Series. The Fourier Transform. The Laplace Transform. The Z-Transform. The Hilbert Transform. The Sturm-Liouville Problem. The Wave Equation. The Heat Equation. Laplace's Equation. Vector Analysis. Linear Algebra. Answers to the Odd-Numbered Problems. Index.Updated and expanded, the second edition of this popular text provides solid background in the mathematics required throughout the engineering disciplines. The author has added three new chapt...
Table of contents:
Introduction. Complex Variables. First-Order Ordinary Differential Equations. Higher-Order Ordinary Differential Equations. Fourier Series. The Fourier Transform. The Laplace Transform. The Z-Transform. The Hilbert Transform. The Sturm-Liouville Problem. The Wave Equation. The Heat Equation. Laplace's Equation. Vector Analysis. Linear Algebra. Answers to the Odd-Numbered Problems. Index.
Updated and expanded, the second edition of this popular text provides solid background in the mathematics required throughout the engineering disciplines. The author has added three new chapters on differential equations and Hilbert transforms and many new examples, problems, and projects that help build problem-solving skills and make the book even better suited to a wide variety of differential equations and engineering mathematics courses. Most importantly, the book now incorporates the use of MATLAB to reinforce the concepts presented. MATLAB code is included so that readers can take an analytic result and fully explore it graphically.
Introduction. Complex Variables. First-Order Ordinary Differential Equations. Higher-Order Ordinary Differential Equations. Fourier Series. The Fourier Transform. The Laplace Transform. The Z-Transform. The Hilbert Transform. The Sturm-Liouville Problem. The Wave Equation. The Heat Equation. Laplace's Equation. Vector Analysis. Linear Algebra. Answers to the Odd-Numbered Problems. Index.
Updated and expanded, the second edition of this popular text provides solid background in the mathematics required throughout the engineering disciplines. The author has added three new chapters on differential equations and Hilbert transforms and many new examples, problems, and projects that help build problem-solving skills and make the book even better suited to a wide variety of differential equations and engineering mathematics courses. Most importantly, the book now incorporates the use of MATLAB to reinforce the concepts presented. MATLAB code is included so that readers can take an analytic result and fully explore it graphically.