Numerical Analysis, designed to be used in a one-year course in engineering, science and mathematics, helps the readers gain a deeper understanding of numerical analysis by highlighting the five major ideas of the discipline: Convergence, Complexity, Conditioning, Compression, and Orthogonality and connecting back to them throughout the text. Each chapter contains a Reality Check, an extended foray into a relevant application area that can be used as a springboard for individual or team projects.MATLAB is used throughout to demonstrate and implement numerical methods. Fundamentals. Solving Equations. Systems of Equations. Interpolation. Least Square. Numerical Differentiation and Integration. Ordinary Differential Equations. Boundary Value Problems. Partial Differential Equations. Random Numbers and Applications. Trigonometric Interpolation and the FFT. Compression. Eigenvalues and Singular Values. Optimization.

For all readers interested in numerical analysis.

Timothy Sauer 乔治梅森大学数学系教授。1982年毕业于加州大学伯克利分校，师从著名数学家Robin Hartshorne。他的主要研究领域为动力系统和数值分析。除本书外，还与人合著有CHAOS: An Introduction to Dynamical Systems等书。Sauer 是SIAM Journal on Applied Dynamical Systems、Journal of Difference Equations and Applications和Physica D等学术期刊的编委。