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This volume and its successor were conceived to advance the level
of mathematical sophistication in the engineering community. The
books particularly focus on material relevant to solving the kinds
of mathematical problems regularly confronted by engineers.
Suitable as a text for advanced undergraduate and graduate courses
as well as a reference for professionals, Volume One's three-part
treatment covers mathematical models, probabilistic problems, and
computational considerations.
Contributions include chapters on linear and nonlinear oscillations
by Solomon Lefschetz, on hyperbolic partial differential equations
and applications by Richard Courant, and on the theory of
prediction by Norbert Wiener. Additional topics include game
theory, applied mathematics in operations research, matrices,
conformal mapping methods, and other subjects involving the
intersection of engineering and mathematics.
This volume and its predecessor were conceived to advance the level
of mathematical sophistication in the engineering community. The
books particularly focus on material relevant to solving the kinds
of mathematical problems regularly confronted by engineers.
Suitable as a text for advanced undergraduate and graduate courses
as well as a reference for professionals, Volume Two's three-part
treatment covers mathematical methods, statistical and scheduling
studies, and physical phenomena.
Contributions include chapters on chance processes and fluctuations
by William Feller, Monte Carlo calculations in problems of
mathematical physics by Stanislaw M. Ulam, and circle, sphere,
symmetrization, and some classical physical problems by George
Polya. Additional topics include integral transforms, information
theory, the numerical solution of elliptic and parabolic partial
differential equations, and other subjects involving the
intersection of engineering and mathematics.
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