Lecture Notes in Mathematics

Multiplication of Distributions

A tool in mathematics, numerical engineering and theoretical physics

Authors: Colombeau, Jean F.

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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).

Table of contents (8 chapters)

Table of contents (8 chapters)
  • Introduction to generalized functions and distributions

    Pages 1-12

    Colombeau, Jean François

  • Multiplications of distributions in classical physics

    Pages 13-29

    Colombeau, Jean François

  • Elementary introduction

    Pages 30-61

    Colombeau, Jean François

  • Jump formulas for systems in nonconservative form. New numerical methods

    Pages 62-96

    Colombeau, Jean François

  • The case of several constitutive equations

    Pages 97-123

    Colombeau, Jean François

Buy this book

eBook 18,18 €
price for Spain (gross)
  • ISBN 978-3-540-47510-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 25,95 €
price for Spain (gross)
  • ISBN 978-3-540-56288-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Multiplication of Distributions
Book Subtitle
A tool in mathematics, numerical engineering and theoretical physics
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1532
Copyright
1992
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-47510-1
DOI
10.1007/BFb0088952
Softcover ISBN
978-3-540-56288-7
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 186
Topics