Finite Precision Number Systems and Arithmetic by Peter Kornerup
Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.-
The Theory of Partitions
-
The Banach-Tarski Paradox
-
Special Functions
-
Equivalents of the Riemann Hypothesis: Volume 1, Arithmetic Equivalents
-
Non-Associative Normed Algebras
-
The Classical Fields
-
Handbook of Constructive Mathematics
-
Aperiodic Order: Volume 2, Crystallography and Almost Periodicity
-
Polynomials with Special Regard to Reducibility
-
Boolean Functions
-
Categorical Foundations
-
Introduction to the Network Approximation Method for Materials Modeling
-
Proof Complexity
-
Asymptotic Analysis of Random Walks
-
Contact Geometry and Nonlinear Differential Equations
-
Lie's Structural Approach to PDE Systems
-
Sub-Riemannian Geometry
-
Combinatorics, Automata and Number Theory
-
Variational Methods for Nonlocal Fractional Problems
-
Ergodic Control of Diffusion Processes
-
Algorithmic Aspects of Graph Connectivity
-
Topics in Algorithmic Graph Theory
-
Exact and Approximate Controllability for Distributed Parameter Systems
-
Mathematics of the Bond Market
-
Orthogonal Polynomials in the Spectral Analysis of Markov Processes
-
Real Analysis through Modern Infinitesimals
-
Introduction to Radon Transforms
-
Lattice Sums Then and Now
-
The Racah-Wigner Algebra in Quantum Theory
-
Boolean Models and Methods in Mathematics, Computer Science, and Engineering
-
Exact Constants in Approximation Theory
-
An Algebraic Introduction to K-Theory
-
Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond
-
Infinite Dimensional Optimization and Control Theory
-
Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras
-
Geometry of Sporadic Groups: Volume 2, Representations and Amalgams
-
Ultrametric Pseudodifferential Equations and Applications
-
Compound Renewal Processes
-
General Orthogonal Polynomials
-
The Theory of Information and Coding
-
Convex Polytopes and Polyhedra
-
Stopping Times and Directed Processes
-
Nonnegative Matrices and Applications
-
Random Graphs
'For researchers and more mathematically oriented readers, this book is a treasure trove of algorithms difficult or impossible to find elsewhere' Mathematical Reviews
Peter Kornerup is a Professor in the Department of Mathematics and Computer Science at the University of Southern Denmark, Odense. David W. Matula is Professor of Computer Science at Southern Methodist University, Dallas.
| SKU | Unavailable |
| ISBN 13 | 9780521761352 |
| ISBN 10 | 0521761352 |
| Title | Finite Precision Number Systems and Arithmetic |
| Author | Peter Kornerup |
| Series | Encyclopedia Of Mathematics And Its Applications |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2010-09-30 |
| Number of pages | 716 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |