Modern Computer Arithmetic by Richard P Brent
Modern Computer Arithmetic focuses on arbitrary-precision algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to topics such as modular arithmetic, greatest common divisors, the Fast Fourier Transform (FFT), and the computation of elementary and special functions. Brent and Zimmermann present algorithms that are ready to implement in your favourite language, while keeping a high-level description and avoiding too low-level or machine-dependent details. The book is intended for anyone interested in the design and implementation of efficient high-precision algorithms for computer arithmetic, and more generally efficient multiple-precision numerical algorithms. It may also be used in a graduate course in mathematics or computer science, for which exercises are included. These vary considerably in difficulty, from easy to small research projects, and expand on topics discussed in the text. Solutions to selected exercises are available from the authors.-
Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization
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Kernel-Based Methods
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Infinite-Dimensional Spectral Computations
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Numerical Bifurcation Analysis of Maps
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Collocation Methods for Volterra Integral and Related Functional Differential Equations
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The Mathematical Foundations of Mixing
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Partial Differential Equation Methods for Image Inpainting
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Topology for Computing
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High-Order Methods for Incompressible Fluid Flow
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Generalized Riemann Problems in Computational Fluid Dynamics
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Multivariate Approximation
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Iterative Krylov Methods for Large Linear Systems
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Dynamical Systems and Numerical Analysis
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Volterra Integral Equations
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Scattered Data Approximation
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Greedy Approximation
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A Practical Guide to the Invariant Calculus
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Orthogonal Rational Functions
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Geometry and Topology for Mesh Generation
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Curve and Surface Reconstruction
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Algebraic Geometry and Statistical Learning Theory
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The Numerical Solution of Integral Equations of the Second Kind
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Radial Basis Functions
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A Practical Guide to Pseudospectral Methods
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Spectral Methods for Time-Dependent Problems
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Multiscale Methods for Fredholm Integral Equations
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Differential Equations and Variational Methods on Graphs
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Minimal Cubature Rules
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High-Accuracy Finite Difference Methods
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An Introduction to Immersed Boundary Methods
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Matrix Preconditioning Techniques and Applications
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Geometry of the Phase Retrieval Problem
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Quasi-Interpolation
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The Christoffel–Darboux Kernel for Data Analysis
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Difference Equations by Differential Equation Methods
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Learning Theory
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Schwarz-Christoffel Mapping
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Simulating Hamiltonian Dynamics
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Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations
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Discrete Variational Problems with Interfaces
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Spaces of Measures and their Applications to Structured Population Models
'Very few books do justice to material that is suitable for both professional software engineers and graduate studentsThis book does just that, without losing its focus or stressing one audience over the other. As the authors make clear, this book is about algorithms for arithmetic (and not hardware considerations and implementations); this focus allows them to cover integer arithmetic, modular arithmetic, and floating-point arithmetic broadly and in detail. the notes and references at the end of each chapter guide readers to more details, and provide a historical backdrop for each major topic.' Marlin Thomas, Reviews.com
Richard Brent is a Professor of Mathematics and Computer Science at the Australian National University, Canberra. Paul Zimmermann is a researcher at the Institut National de Recherche en Informatique et en Automatique (INRIA).
| SKU | Unavailable |
| ISBN 13 | 9780521194693 |
| ISBN 10 | 0521194695 |
| Title | Modern Computer Arithmetic |
| Author | Richard P Brent |
| Series | Cambridge Monographs On Applied And Computational Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2010-11-25 |
| Number of pages | 236 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |