Ebook: Distributions in the Physical and Engineering Sciences: Distributional and Fractal Calculus, Integral Transforms and Wavelets
- Tags: Applications of Mathematics, Fourier Analysis, Theoretical Mathematical and Computational Physics, Appl.Mathematics/Computational Methods of Engineering
- Series: Applied and Numerical Harmonic Analysis
- Year: 1996
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practioners and researchers. The goal of the book is to give the reader, specialist and non-specialist useable and modern mathematical tools in their research and analysis. This new text is intended for graduate students and researchers in applied mathematics, physical sciences and engineering. The careful explanations, accessible writing style, and many illustrations/examples also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.
Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practioners and researchers. The goal of the book is to give the reader, specialist and non-specialist useable and modern mathematical tools in their research and analysis. This new text is intended for graduate students and researchers in applied mathematics, physical sciences and engineering. The careful explanations, accessible writing style, and many illustrations/examples also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.
Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practioners and researchers. The goal of the book is to give the reader, specialist and non-specialist useable and modern mathematical tools in their research and analysis. This new text is intended for graduate students and researchers in applied mathematics, physical sciences and engineering. The careful explanations, accessible writing style, and many illustrations/examples also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.
Content:
Front Matter....Pages i-xviii
Front Matter....Pages 1-1
Basic Definitions and Operations....Pages 3-35
Basic Applications: Rigorous and Pragmatic....Pages 37-72
Front Matter....Pages 73-73
Fourier Transform....Pages 75-91
Asymptotics of Fourier Transforms....Pages 93-135
Stationary Phase and Related Methods....Pages 137-148
Singular Integrals and Fractal Calculus....Pages 149-182
Uncertainty Principle and Wavelet Transforms....Pages 183-244
Summation of Divergent Series and Integrals....Pages 245-285
Back Matter....Pages 287-336
Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practioners and researchers. The goal of the book is to give the reader, specialist and non-specialist useable and modern mathematical tools in their research and analysis. This new text is intended for graduate students and researchers in applied mathematics, physical sciences and engineering. The careful explanations, accessible writing style, and many illustrations/examples also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.
Content:
Front Matter....Pages i-xviii
Front Matter....Pages 1-1
Basic Definitions and Operations....Pages 3-35
Basic Applications: Rigorous and Pragmatic....Pages 37-72
Front Matter....Pages 73-73
Fourier Transform....Pages 75-91
Asymptotics of Fourier Transforms....Pages 93-135
Stationary Phase and Related Methods....Pages 137-148
Singular Integrals and Fractal Calculus....Pages 149-182
Uncertainty Principle and Wavelet Transforms....Pages 183-244
Summation of Divergent Series and Integrals....Pages 245-285
Back Matter....Pages 287-336
....