Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.
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"Das vorliegende Werk entstand aus einem Semesterkurs über Methoden der Angewandten Mathematik für Ingenieure. Die Erweiterung des Materials deckt nun Stoff für einen Jahreskurs ab und richtet sich an Mathematiker und Anwender. … Das behandelte Material gibt dem Leser ein Gefühl für die Vielfalt an Problemstellungen, die in der Besprechung spezifischer Probleme vor allem der mathematischen Physik und der Ingenieurmathematik näher gebracht werden … Die Darlegung bringt auch die Grenzen und die zugrunde liegenden Annahmen der einzelnen Ansätze näher …"
(G. Haring, in: Internationale Mathematische Nachrichten, April 2006)
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First Sentence:
This text is intended to provide an introduction to certain methods of applied mathematics, especially those arising from the area of Fourier analysis. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
uniform flow past, transformable function, inversion integral, approximate delta function, differentiation law, partial fractions method, inversion theorem, complex variable methods, indicial equation, weighting pattern, inverse transforming, shift formula, pointwise convergent, separated solutions, transform calculations, transform case, delay law, transform inversion, walsh functions Key Phrases - Capitalized Phrases (CAPs): (learn more)
Example Let, Repeat Problem, Cauchy Criterion, Example Suppose, Green's Theorem, Academic Press, Englewood Cliffs, Example Define, New Jersey, Cambridge University Press, Oxford University Press, Theorem Suppose, Wavelet Toolbox, San Francisco, Use Problem, Definition Let, Gauss's Theorem, Mathworks Incorporated, Theorem Let, Theoretical Hydrodynamics New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
This text is intended to provide an introduction to certain methods of applied mathematics, especially those arising from the area of Fourier analysis. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
uniform flow past, transformable function, inversion integral, approximate delta function, differentiation law, partial fractions method, inversion theorem, complex variable methods, indicial equation, weighting pattern, inverse transforming, shift formula, pointwise convergent, separated solutions, transform calculations, transform case, delay law, transform inversion, walsh functions Key Phrases - Capitalized Phrases (CAPs): (learn more)
Example Let, Repeat Problem, Cauchy Criterion, Example Suppose, Green's Theorem, Academic Press, Englewood Cliffs, Example Define, New Jersey, Cambridge University Press, Oxford University Press, Theorem Suppose, Wavelet Toolbox, San Francisco, Use Problem, Definition Let, Gauss's Theorem, Mathworks Incorporated, Theorem Let, Theoretical Hydrodynamics New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 68
books:
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9
books
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- Mechanics of Deformable Bodies (Lectures on Theoretical Physics) by Arnold Sommerfeld on page 161, and page 278
- Partial Differential Equations (Applied Mathematical Sciences) (v. 1) by Fritz John on page 161, and page 278
- Mathematics Applied to Deterministic Problems in the Natural Sciences (Classics in Applied Mathematics) by C. C. Lin on page 161, and page 278
- Introduction to Digital Signal Processing by Johnny R. Johnson on page 4, and page 634
- Laplace Transform (Mathematics Series) by D. V. Widder on page 409, and Back Matter
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- Multiscale Potential Theory by Willi Freeden in Front Matter
- Sampling, Wavelets, and Tomography (Applied and Numerical Harmonic Analysis) by John J. Benedetto in Front Matter
- Nonlinear Modulation Theory (Detection, Estimation, and Modulation Theory, Part II) by Harry L. Van Trees on page 327
- The Evolution of Applied Harmonic Analysis: Models of the Real World by Elena Prestini in Front Matter
- Approximation Theory: From Taylor Polynomials to Wavelets (Applied and Numerical Harmonic Analysis) by Ole Christensen in Front Matter
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