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 喬治梅森大學數學係教授。1982年畢業於加州大學伯剋利分校，師從著名數學傢Robin Hartshorne。他的主要研究領域為動力係統和數值分析。除本書外，還與人閤著有CHAOS: An Introduction to Dynamical Systems等書。Sauer 是SIAM Journal on Applied Dynamical Systems、Journal of Difference Equations and Applications和Physica D等學術期刊的編委。