09-23-2026, 08:42 PM
Numerical Analysis: Theory and Experiments by Brian Sutton is an undergraduate-level textbook that develops numerical analysis through a combination of mathematical theory, computer experimentation, and practical implementation. It covers fundamental problems such as interpolation, numerical integration, systems of linear equations, root finding, differentiation, and differential equations. The book begins with programming, experimental error analysis, and floating-point arithmetic before developing increasingly sophisticated numerical techniques.
A central theme is the use of Chebyshev methods alongside classical numerical approaches. The book examines the dangers of high-degree interpolation on uniform grids and then develops Chebyshev interpolation, Clenshaw–Curtis quadrature, numerical linear algebra, Newton's method, and numerical methods for differential equations. Rather than treating numerical algorithms as black boxes, Sutton emphasizes
understanding their accuracy, convergence, efficiency, and implementation, with numerous examples and exercises designed to connect linear algebra, calculus, approximation theory, and computation.
BOOK
A central theme is the use of Chebyshev methods alongside classical numerical approaches. The book examines the dangers of high-degree interpolation on uniform grids and then develops Chebyshev interpolation, Clenshaw–Curtis quadrature, numerical linear algebra, Newton's method, and numerical methods for differential equations. Rather than treating numerical algorithms as black boxes, Sutton emphasizes
understanding their accuracy, convergence, efficiency, and implementation, with numerous examples and exercises designed to connect linear algebra, calculus, approximation theory, and computation.
BOOK
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