Designed as a text for a three-semester course in numerical analysis, this highly regarded work presents a broad overview of computer-oriented numerical algorithms for solving various types of mathematical problems. The book is intended not only to impart a working knowledge of practical techniques for solving real problems but to prepare the student for advanced studies at the graduate level. Topics include: Evaluation of elementary functions Solution of a single nonlinear equation with specific reference to polynomial equations Interpolation and approximation Numerical differentiation and quadrature Ordinary differential equations Computational problems in linear algebra Numerical solution of elliptic and parabolic partial differential equations by finite difference methods Solution of large linear systems by iterative methods In addition to thorough coverage of the fundamentals, these wide-ranging volumes contain such special features as an introduction to computer arithmetic, including an error analysis of a system of linear algebraic equations with rational coefficients, and an emphasis on computations as well as mathematical aspects of various problems. Geared toward senior-level undergraduates and first-year graduate students, the book assumes some knowledge of advanced calculus, elementary complex analysis, matrix theory, and ordinary and partial differential equations. However, the work is largely self-contained, with basic material summarized in an appendix, making it a perfect resource for self-study. Ideal as a course text in numerical analysis or as a supplementary text in numerical methods, A Survey of Numerical Mathematics judiciously blends mathematics, numerical analysis, and computation. The result is an unusually valuable reference and learning tool for modern mathematicians, computer scientists, programmers, engineers, and physical scientists.

A Survey of Numerical Mathematics - Volume I (Volume 1)

Science & Math

Young, David M.

Gregory, Robert Todd

Mathematics

Dover Publications

Designed as a text for a three-semester course in numerical analysis, this highly regarded work presents a broad overview of computer-oriented numerical algorithms for solving various types of mathematical problems. The book is intended not only to impart a working knowledge of practical techniques for solving real problems but to prepare the student for advanced studies at the graduate level. Topics include: Evaluation of elementary functions Solution of a single nonlinear equation with specific reference to polynomial equations Interpolation and approximation Numerical differentiation and quadrature Ordinary differential equations Computational problems in linear algebra Numerical solution of elliptic and parabolic partial differential equations by finite difference methods Solution of large linear systems by iterative methods In addition to thorough coverage of the fundamentals, these wide-ranging volumes contain such special features as an introduction to computer arithmetic, including an error analysis of a system of linear algebraic equations with rational coefficients, and an emphasis on computations as well as mathematical aspects of various problems. Geared toward senior-level undergraduates and first-year graduate students, the book assumes some knowledge of advanced calculus, elementary complex analysis, matrix theory, and ordinary and partial differential equations. However, the work is largely self-contained, with basic material summarized in an appendix, making it a perfect resource for self-study. Ideal as a course text in numerical analysis or as a supplementary text in numerical methods, A Survey of Numerical Mathematics judiciously blends mathematics, numerical analysis, and computation. The result is an unusually valuable reference and learning tool for modern mathematicians, computer scientists, programmers, engineers, and physical scientists.

A Survey of Numerical Mathematics, Vol. 2

See the best price to sell, buy, or rent books by Gregory, Robert Todd. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Gregory, Robert Todd

See the best price to sell, buy, or rent books by Gregory, Robert Todd. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

A Survey of Numerical Mathematics - Volume I (Volume 1)

A Survey of Numerical Mathematics, Vol. 2