Finite Precision Number Systems and Arithmetic PDF Download
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Author: Peter Kornerup
Publisher: Cambridge University Press
ISBN: 113964355X
Category : Mathematics
Languages : en
Pages : 717
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Book Description
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.
Author: A. E. Abbott
Publisher: Literary Licensing, LLC
ISBN: 9781498106818
Category :
Languages : en
Pages : 522
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Book Description
This Is A New Release Of The Original 1910 Edition.
Author: Peter Kornerup
Publisher: Cambridge University Press
ISBN: 113964355X
Category : Mathematics
Languages : en
Pages : 717
Get Book
Book Description
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.
Author: David Wells
Publisher: Penguin
ISBN: 9780140261493
Category : Mathematics
Languages : en
Pages : 260
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Book Description
Provides information on numbers and what makes particular ones noteworthy
Author: Gunther Schmidt
Publisher: Cambridge University Press
ISBN: 0521762685
Category : Computers
Languages : en
Pages : 582
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Book Description
Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This comprehensive 2010 overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities.
Author: Karl Menninger
Publisher: Courier Corporation
ISBN: 0486319776
Category : Mathematics
Languages : en
Pages : 512
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Book Description
Classic study discusses number sequence and number language, then explores written numerals and computations in a wide range of cultures. 282 illustrations. "Superior narrative ability." — Library Journal.
Author: Daniel Heydon
Publisher: Sterling Publishing (NY)
ISBN: 9780806954851
Category : Numerology
Languages : en
Pages : 0
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Book Description
The secret to our destiny lies in the numbers. With the more than 500 fascinating pages on the theory and practice of numerology packed into this little powerhouse, anyone can become an expert on the subject. Like astrology, numerology is based on birth date, but it uses names, too. Each letter of the alphabet has a matching number (from 1 to 9), and that's where the illumination begins. Seekers will enjoy a new understanding of their numerological fortunes, including the Soul Urge, which motivates our actions; the Quiet Self, which reveals our inner desires; and The Expression, which explains how to accomplish our goals. Like every Little Giant, this entry presents an extraordinary amount of information in a convenient format, with dozens of charts, tables and graphs.
Author: Steven R. Finch
Publisher: Cambridge University Press
ISBN: 9780521818056
Category : Mathematics
Languages : en
Pages : 634
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Book Description
Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.
Author: Richard A. Brualdi
Publisher: Birkhäuser
ISBN: 3319709534
Category : Mathematics
Languages : en
Pages : 219
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Book Description
This book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matemàtica (CRM) in Barcelona. These notes correspond to five series of lectures. The first series is dedicated to the study of several matrix classes defined combinatorially, and was delivered by Richard A. Brualdi. The second one, given by Pauline van den Driessche, is concerned with the study of spectral properties of matrices with a given sign pattern. Dragan Stevanović delivered the third one, devoted to describing the spectral radius of a graph as a tool to provide bounds of parameters related with properties of a graph. The fourth lecture was delivered by Stephen Kirkland and is dedicated to the applications of the Group Inverse of the Laplacian matrix. The last one, given by Ángeles Carmona, focuses on boundary value problems on finite networks with special in-depth on the M-matrix inverse problem.
Author: Nathaniel F. G. Martin
Publisher: Cambridge University Press
ISBN: 9780521177382
Category : Computers
Languages : en
Pages : 292
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Book Description
This excellent 1981 treatment of the mathematical theory of entropy gives an accessible exposition its application to other fields.
Author: M. Pohst
Publisher: Cambridge University Press
ISBN: 9780521596695
Category : Mathematics
Languages : en
Pages : 520
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Book Description
Now in paperback, this classic book is addresssed to all lovers of number theory. On the one hand, it gives a comprehensive introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. On the other hand many parts go beyond an introduction an make the user familliar with recent research in the field. For experimental number theoreticians new methods are developed and new results are obtained which are of great importance for them. Both computer scientists interested in higher arithmetic and those teaching algebraic number theory will find the book of value.
