Numerical Methods for Scientific Computing

Numerical Methods for Scientific Computing is an introducion to numer-
ical methods and analysis techniques that can be used to solve a variety of
complicated engineering and scientific problems. The material is suitable for
upper level college undergraduates or beginning graduate students. There is
more than enough material for a two semester course in numerical methods
and analysis for mathematicians, engineers, physicists, chemistry and science
majors.
Chapter one reviews necessary background prerequisite material. The
chapter two illustrates techniques for finding roots of equations. Chapter
three studies solution methods applicable for handling linear and nonlinear
systems of equations. Chapter four introduces interpolation and approxima-
tion techniques. The chapter five investigates curve fitting using least squares
and linear reqression. The chapter six presents the topics of difference equa-
tions and Z-transforms. The chapter seven concentrates on numerical differ-
entiation and integration methods. Chapter eight examines numerical solu-
tion techniques for solving ordinary differential equations and chapter nine
considers numerical solution techniques for solving linear partial differential
equations. The chapter ten develops Monte Carlo techniques for simulating
and analyzing complex systems. The final chapter eleven presents parallel
computing considerations together with selected miscellaneous topics. 507pp.
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× 10.