Computer Arithmetic in Theory and Practice

Computer Arithmetic in Theory and Practice
Title Computer Arithmetic in Theory and Practice PDF eBook
Author Ulrich Kulisch
Publisher
Pages 280
Release 1981
Genre Mathematics
ISBN

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Mathematics of Computing -- Numerical Analysis.

Digital Arithmetic

Digital Arithmetic
Title Digital Arithmetic PDF eBook
Author Milos D. Ercegovac
Publisher Elsevier
Pages 736
Release 2004
Genre Computers
ISBN 1558607986

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The authoritative reference on the theory and design practice of computer arithmetic.

Computer Science with MATHEMATICA ®

Computer Science with MATHEMATICA ®
Title Computer Science with MATHEMATICA ® PDF eBook
Author Roman Maeder
Publisher Cambridge University Press
Pages 414
Release 2000-02-28
Genre Computers
ISBN 9780521663953

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This introductory course shows scientists and engineers how Mathematica can be used to do scientific computations.

Computer Arithmetic

Computer Arithmetic
Title Computer Arithmetic PDF eBook
Author Behrooz Parhami
Publisher
Pages 684
Release 2010
Genre Computers
ISBN

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Ideal for graduate and senior undergraduate courses in computer arithmetic and advanced digital design, Computer Arithmetic: Algorithms and Hardware Designs, Second Edition, provides a balanced, comprehensive treatment of computer arithmetic. It covers topics in arithmetic unit design and circuit implementation that complement the architectural and algorithmic speedup techniques used in high-performance computer architecture and parallel processing. Using a unified and consistent framework, the text begins with number representation and proceeds through basic arithmetic operations, floating-point arithmetic, and function evaluation methods. Later chapters cover broad design and implementation topics-including techniques for high-throughput, low-power, fault-tolerant, and reconfigurable arithmetic. An appendix provides a historical view of the field and speculates on its future. An indispensable resource for instruction, professional development, and research, Computer Arithmetic: Algorithms and Hardware Designs, Second Edition, combines broad coverage of the underlying theories of computer arithmetic with numerous examples of practical designs, worked-out examples, and a large collection of meaningful problems. This second edition includes a new chapter on reconfigurable arithmetic, in order to address the fact that arithmetic functions are increasingly being implemented on field-programmable gate arrays (FPGAs) and FPGA-like configurable devices. Updated and thoroughly revised, the book offers new and expanded coverage of saturating adders and multipliers, truncated multipliers, fused multiply-add units, overlapped quotient digit selection, bipartite and multipartite tables, reversible logic, dot notation, modular arithmetic, Montgomery modular reduction, division by constants, IEEE floating-point standard formats, and interval arithmetic. Features: * Divided into 28 lecture-size chapters * Emphasizes both the underlying theories of computer arithmetic and actual hardware designs * Carefully links computer arithmetic to other subfields of computer engineering * Includes 717 end-of-chapter problems ranging in complexity from simple exercises to mini-projects * Incorporates many examples of practical designs * Uses consistent standardized notation throughout * Instructor's manual includes solutions to text problems * An author-maintained website http://www.ece.ucsb.edu/~parhami/text_comp_arit.htm contains instructor resources, including complete lecture slides

Modern Computer Arithmetic

Modern Computer Arithmetic
Title Modern Computer Arithmetic PDF eBook
Author Richard P. Brent
Publisher Cambridge University Press
Pages 236
Release 2010-11-25
Genre Computers
ISBN 9780521194693

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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 favorite 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 are available from the authors.

Computer Arithmetic Algorithms

Computer Arithmetic Algorithms
Title Computer Arithmetic Algorithms PDF eBook
Author Israel Koren
Publisher CRC Press
Pages 298
Release 2018-10-08
Genre Computers
ISBN 1439863717

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This text explains the fundamental principles of algorithms available for performing arithmetic operations on digital computers. These include basic arithmetic operations like addition, subtraction, multiplication, and division in fixed-point and floating-point number systems as well as more complex operations such as square root extraction and evaluation of exponential, logarithmic, and trigonometric functions. The algorithms described are independent of the particular technology employed for their implementation.

Fundamental Problems of Algorithmic Algebra

Fundamental Problems of Algorithmic Algebra
Title Fundamental Problems of Algorithmic Algebra PDF eBook
Author Chee-Keng Yap
Publisher Oxford University Press on Demand
Pages 511
Release 2000
Genre Computers
ISBN 9780195125160

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Popular computer algebra systems such as Maple, Macsyma, Mathematica, and REDUCE are now basic tools on most computers. Efficient algorithms for various algebraic operations underlie all these systems. Computer algebra, or algorithmic algebra, studies these algorithms and their properties and represents a rich intersection of theoretical computer science with classical mathematics. Fundamental Problems of Algorithmic Algebra provides a systematic and focused treatment of a collection of core problemsthe computational equivalents of the classical Fundamental Problem of Algebra and its derivatives. Topics covered include the GCD, subresultants, modular techniques, the fundamental theorem of algebra, roots of polynomials, Sturm theory, Gaussian lattice reduction, lattices and polynomial factorization, linear systems, elimination theory, Grobner bases, and more. Features · Presents algorithmic ideas in pseudo-code based on mathematical concepts and can be used with any computer mathematics system · Emphasizes the algorithmic aspects of problems without sacrificing mathematical rigor · Aims to be self-contained in its mathematical development · Ideal for a first course in algorithmic or computer algebra for advanced undergraduates or beginning graduate students