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The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.
The advent of high-speed computers has made it possible for the
first time to calculate values from models accurately and rapidly.
Researchers and engineers thus have a crucial means of using
numerical results to modify and adapt arguments and experiments
along the way. Every facet of technical and industrial activity has
been affected by these developments. The objective of the present
work is to compile the mathematical knowledge required by
researchers in mechanics, physics, engineering, chemistry and other
branches of application of mathematics for the theoretical and
numerical resolution of physical models on computers. Since the
publication in 1924 of the "Methoden der mathematischen Physik" by
Courant and Hilbert, there has been no other comprehensive and
up-to-date publication presenting the mathematical tools needed in
applications of mathematics in directly implementable form.
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