A comprehensive exposition on analytic methods for solving science and engineering problems, written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practioners and researchers. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.
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Editorial Reviews
From the Inside Flap
"In the book under review, the mathematical rigor, the modern level of the material and its accessibility to students of physical and engineering specialties are reached due to very accurate explanations which use associations and examples more suitable for that kind of audience. Very nice models, e.g., 'the camel passing through a needle's eye' and 'the beetle on a rubber string' for the explanation of asymptotic notations and ideas...adorn this work and make it a good textbook.... Each chapter contains a section of exercises well chosen for the themes developed in the main text. The reviewer has...made use already of this book in his seminar work with students of different levels of preparation in engineering specialties and...congratulates the authors on this good and useful textbook.... Strongly recommended to graduate students almost independently of their concrete physical or engineering specialty as well as to seminar or curricular work with undergraduate students."
--Zeitschrift für Analysis und ihre Anwendungen
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Most Helpful Customer Reviews
1 of 2 people found the following review helpful:
5.0 out of 5 stars
Excellent Introduction,
By Edward Qubain (Austin TX USA) - See all my reviews
This review is from: Distributions in the Physical and Engineering Sciences, Volume 1: Distributional and Fractal Calculus, Integral Transforms and Wavelets (Applied and Numerical Harmonic Analysis) (Hardcover)
This book provides a simple, example-based discussion of its subtle subject matter which will have you conversant in the material in no time. It gets to the ideas of the subject without making you wade through pages of formalism and abstraction first. This is science writing at its best.
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Inside This Book
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First Sentence:
The notion of a distribution (or a generalized function-the term often used in other languages) is a comparatively recent invention, although the concept is one of the most important in mathematical areas with physical applications. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
windowing shape, infinitesimal relaxation, principal asymptotics, fractal calculus, probing property, simplest tune, composite arguments, main asymptotics, singular density, analytic signal, dyadic points, generalized sum, mother wavelet, continuous wavelet transform, tune signal, delta distribution, incompressible medium, singular distributions, causality principle, passive tracer, rectangular function, mass conservation law, divergent series, linear topological space, frequency localization Key Phrases - Capitalized Phrases (CAPs): (learn more)
Riemann-Lebesgue Lemma, Find the Hilbert, Riemann Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The notion of a distribution (or a generalized function-the term often used in other languages) is a comparatively recent invention, although the concept is one of the most important in mathematical areas with physical applications. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
windowing shape, infinitesimal relaxation, principal asymptotics, fractal calculus, probing property, simplest tune, composite arguments, main asymptotics, singular density, analytic signal, dyadic points, generalized sum, mother wavelet, continuous wavelet transform, tune signal, delta distribution, incompressible medium, singular distributions, causality principle, passive tracer, rectangular function, mass conservation law, divergent series, linear topological space, frequency localization Key Phrases - Capitalized Phrases (CAPs): (learn more)
Riemann-Lebesgue Lemma, Find the Hilbert, Riemann Theorem 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 15
books:
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20
books
cite this book:
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- The Analysis of Linear Partial Differential Operators I by Lars Hormander in Back Matter
- Divergent Series (AMS Chelsea Publishing) by G. H. Hardy in Back Matter
- Fourier Transforms. (AM-19) (Annals of Mathematics Studies) by Salomon Bochner in Back Matter
- Infinite matrices of operators (Lecture notes in mathematics) by I. J Maddox in Back Matter
- Distributions, Fourier Transforms And Some Of Their Applications To Physics (World Scientific Lecture Notes in Physics) by Thomas Schücker in Back Matter
See all 15 books this book cites
- Introductory Statistics and Random Phenomena: Uncertainty, Complexity and Chaotic Behavior in Engineering and Science (Statistics for Industry and Technology) by Manfred Denker on page 239, page 279, and Back Matter
- Levy Processes by Ole Eiler Barndorff-Nielsen on page 265
- An Introduction to Frames and Riesz Bases by Ole Christensen in Front Matter
- Time Frequency and Time-Scale Methodes by Jeffrey A. Hogan in Front Matter
- Stochastic Processes and Related Topics: In Memory of Stamatis Cambanis 1943-1995 (Trends in Mathematics) by Ioannis Karatzas on page 165
See all 20 books citing this book
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