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  • Book
  • © 1992

Multiplication of Distributions

A tool in mathematics, numerical engineering and theoretical physics

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1532)

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Table of contents (8 chapters)

  1. Front Matter

    Pages I-X
  2. Introduction to generalized functions and distributions

    • Jean François Colombeau
    Pages 1-12
  3. Multiplications of distributions in classical physics

    • Jean François Colombeau
    Pages 13-29
  4. Elementary introduction

    • Jean François Colombeau
    Pages 30-61
  5. The case of several constitutive equations

    • Jean François Colombeau
    Pages 97-123
  6. The abstract theory of generalized functions

    • Jean François Colombeau
    Pages 158-171
  7. Back Matter

    Pages 172-184

About this book

This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of systems of PDEs of physics (nonlinear elasticity, elastoplasticity, hydrodynamics, multifluid flows, acoustics). The prerequisites are kept to introductory calculus level so that the book remains accessible at the same time to pure mathematicians (as a smoothand somewhat heuristic introdcution to this theory) and to applied mathematicians, numerical engineers and theoretical physicists (as a tool to treat problems involving products of distributions).

Bibliographic Information

  • Book Title: Multiplication of Distributions

  • Book Subtitle: A tool in mathematics, numerical engineering and theoretical physics

  • Authors: Jean François Colombeau

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0088952

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1992

  • Softcover ISBN: 978-3-540-56288-7Published: 14 December 1992

  • eBook ISBN: 978-3-540-47510-1Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 186

  • Topics: Applications of Mathematics, Analysis

Buy it now

Buying options

eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access