Multiplication of distributions : a tool in mathematics, numerical engineering, and theoretical physics
Author(s)
Bibliographic Information
Multiplication of distributions : a tool in mathematics, numerical engineering, and theoretical physics
（Lecture notes in mathematics, 1532）
Springer-Verlag, c1992
- : gw
- : us
Available at / 81 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: gwL/N||LNM||1532RM930232
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University of Toyama Library, Central Library図
: gw410.8||L49||153221019657,
: us410.8||L49||153220111001389 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: gwdc20:515/c7162070250674
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Note
Bibliography: p. [172]-183
Includes index
Description and Table of Contents
Description
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
to generalized functions and distributions.- Multiplications of distributions in classical physics.- Elementary introduction.- Jump formulas for systems in nonconservative form. New numerical methods.- The case of several constitutive equations.- Linear wave propagation in a medium with piecewise C? characteristics.- The canonical Hamiltonian formalism of interacting quantum fields.- The abstract theory of generalized functions.
by "Nielsen BookData"
