Are you familiar with the IEEE floating point arithmetic standard? Would you like to understand it better? This book gives a broad overview of numerical computing, in a historical context, with special focus on the IEEE standard for binary floating point arithmetic. Key ideas are developed step by step, taking the reader from floating point representation, correctly rounded arithmetic, and the IEEE philosophy on exceptions, to an understanding of the crucial concepts of conditioning and stability, explained in a simple yet rigorous context. It gives technical details that are not readily available elsewhere, and includes challenging exercises that go beyond the topics covered in the text.
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Michael L. Overton is a Professor of Computer Science and Mathematics at the Courant Institute of Mathematical Sciences, New York University. His research interests range from interior point methods for optimization to eigenvalue perturbation theory. He serves on the editorial boards of SIAM Journal on Optimization, SIAM Journal on Matrix Analysis and Applications, and the IMA Journal of Numerical Analysis.
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