Numerical Analysis: Mathematics of Scientific ComputingThis highly successful and scholarly book introduces readers with diverse backgrounds to the various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with careful proofs and scientific background. An in-depth treatment of the topics of numerical analysis, a more scholarly approach, and a different menu of topics sets this book apart from the authors' well-respected and best-selling text: NUMERICAL MATHEMATICS AND COMPUTING, FOURTH EDITION. |
Contents
What Is | 1 |
Computer Arithmetic | 37 |
Solution of Nonlinear Equations | 73 |
Copyright | |
9 other sections not shown
Other editions - View all
Numerical Analysis: Mathematics of Scientific Computing David Ronald Kincaid,Elliott Ward Cheney No preview available - 2009 |
Common terms and phrases
a₁ algorithm assume B-splines b₁ best approximation bisection method coefficients column COMPUTER PROBLEMS continued fraction continuous convergence convex convex set curve defined denoted derivatives Determine diagonal differential equation divided difference eigenvalues elements example factorization Find formula function ƒ Gaussian elimination given Hence inequality initial-value problem inner-product space integral interpolates ƒ interval knots Lemma lower triangular machine numbers mathematical matrix norm Newton's method nodes nonsingular nonzero numerical solution obtain orthonormal output pivoting polynomial of degree preceding problem procedure Proof Prove pseudoinverse quadratic real number result roots roundoff error Runge-Kutta method secant method Section sequence Show singular-value decomposition solve space step subspace Suppose system of equations Taylor series Taylor's Theorem Theorem truncation error upper triangular values variables vector write x₁ Xn+1 zero