By David M. Young, Robert Todd Gregory, Mathematics
Evaluation of effortless functions
Solution of a unmarried nonlinear equation with particular connection with polynomial equations
Interpolation and approximation
Numerical differentiation and quadrature
Ordinary differential equations
Computational difficulties in linear algebra
Numerical answer of elliptic and parabolic partial differential equations through finite distinction methods
Solution of huge linear structures by way of iterative methods
In addition to thorough insurance of the basics, those wide-ranging volumes include such particular gains as an creation to laptop mathematics, together with an blunders research of a approach of linear algebraic equations with rational coefficients, and an emphasis on computations in addition to mathematical facets of varied problems.
Geared towards senior-level undergraduates and first-year graduate scholars, the e-book assumes a few wisdom of complicated calculus, straight forward advanced research, matrix conception, and traditional and partial differential equations. although, the paintings is basically self-contained, with easy fabric summarized in an appendix, making it an ideal source for self-study.
Ideal as a path textual content in numerical research or as a supplementary textual content in numerical tools, A Survey of Numerical Mathematics judiciously blends arithmetic, numerical research, and computation. the result's an surprisingly priceless reference and studying software for contemporary mathematicians, laptop scientists, programmers, engineers, and actual scientists.