Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Distributions in the Physical and Engineering Sciences, Volume 1

Distributional and Fractal Calculus, Integral Transforms and Wavelets

  • Textbook
  • © 2018

Overview

Authors:
  1. Alexander I. Saichev

    1. Mathematical Department, State University of Nizhny Novgorod, Nizhny Novgorod, Russia

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Wojbor Woyczynski

    1. Department of Mathematics, Applied Mathematics and Statistics, Case Western Reserve University, Cleveland, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Illustrates how the theory of distributions can be applied to solve problems in the physical and engineering sciences
  • Includes a robust selection of example problems that can arise in real-life industrial and scientific labs
  • Will be a valuable resource for researchers and graduate students who would like more exposure to probabilistic methods

Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages i-xx
    Download chapter PDF

  2. Distributions and Their Basic Applications

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Basic Definitions and Operations

      • Alexander I. Saichev, Wojbor Woyczynski
      Pages 3-35

    3. Basic Applications: Rigorous and Pragmatic

      • Alexander I. Saichev, Wojbor Woyczynski
      Pages 37-72

  3. Integral Transforms and Divergent Series

    1. Front Matter

      Pages 73-73
      Download chapter PDF

    2. Fourier Transform

      • Alexander I. Saichev, Wojbor Woyczynski
      Pages 75-91

    3. Asymptotics of Fourier Transforms

      • Alexander I. Saichev, Wojbor Woyczynski
      Pages 93-135

    4. Stationary Phase and Related Methods

      • Alexander I. Saichev, Wojbor Woyczynski
      Pages 137-148

    5. Singular Integrals and Fractal Calculus

      • Alexander I. Saichev, Wojbor Woyczynski
      Pages 149-182

    6. Uncertainty Principle and Wavelet Transforms

      • Alexander I. Saichev, Wojbor Woyczynski
      Pages 183-244

    7. Summation of Divergent Series and Integrals

      • Alexander I. Saichev, Wojbor Woyczynski
      Pages 245-285

  4. Back Matter

    Pages 287-336
    Download chapter PDF
Back to top

Keywords

About this book

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 practitioners and researchers. The goal of the book is to give the reader, specialist and non-specialist usable 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. The present, softcover reprint is designed to make this classic textbookavailable to a wider audience.

Authors and Affiliations

  • Mathematical Department, State University of Nizhny Novgorod, Nizhny Novgorod, Russia

    Alexander I. Saichev

  • Department of Mathematics, Applied Mathematics and Statistics, Case Western Reserve University, Cleveland, USA

    Wojbor Woyczynski

About the authors

​Alexander I. Saichev was Professor of Mathematics at the Radio Physics Faculty of the Nizhny Novgorod University and a Professor in the Department of Management, Technology, and Economics at the Swiss Federal Institute of Technology.

Wojbor A. Woyczynski is Professor of Mathematics and Director of the Center for Stochastic and Chaotic Processes in Science and Technology at Case Western University.


Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation