The New Math
The New Math

Author: Christopher James Phillips

Publisher: University of Chicago Press

Published: 2015

Total Pages: 242

ISBN-13: 022618496X

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An era of sweeping cultural change in America, the postwar years saw the rise of beatniks and hippies, the birth of feminism, and the release of the first video game. This book examines the rise and fall of the new math as a marker of the period's political and social ferment.

Finite Precision Number Systems and Arithmetic
Finite Precision Number Systems and Arithmetic

Author: Peter Kornerup

Publisher: Cambridge University Press

Published: 2010-09-30

Total Pages: 717

ISBN-13: 113964355X

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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 Number System
The Number System

Author: H. A. Thurston

Publisher: Courier Corporation

Published: 2012-10-23

Total Pages: 146

ISBN-13: 0486154947

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This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. 1956 edition.

Advanced Topics in the Arithmetic of Elliptic Curves
Advanced Topics in the Arithmetic of Elliptic Curves

Author: Joseph H. Silverman

Publisher: Springer Science & Business Media

Published: 2013-12-01

Total Pages: 482

ISBN-13: 1461208513

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In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details. You are now holding that second volume. it turned out that even those ten topics would not fit Unfortunately, into a single book, so I was forced to make some choices. The following material is covered in this book: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron models, Kodaira-Neron classification of special fibers, Tate's algorithm, and Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. Neron's theory of canonical local height functions.

Arithmetic and Logic in Computer Systems
Arithmetic and Logic in Computer Systems

Author: Mi Lu

Publisher: John Wiley & Sons

Published: 2005-03-04

Total Pages: 270

ISBN-13: 0471726214

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Arithmetic and Logic in Computer Systems provides a useful guide to a fundamental subject of computer science and engineering. Algorithms for performing operations like addition, subtraction, multiplication, and division in digital computer systems are presented, with the goal of explaining the concepts behind the algorithms, rather than addressing any direct applications. Alternative methods are examined, and explanations are supplied of the fundamental materials and reasoning behind theories and examples. No other current books deal with this subject, and the author is a leading authority in the field of computer arithmetic. The text introduces the Conventional Radix Number System and the Signed-Digit Number System, as well as Residue Number System and Logarithmic Number System. This book serves as an essential, up-to-date guide for students of electrical engineering and computer and mathematical sciences, as well as practicing engineers and computer scientists involved in the design, application, and development of computer arithmetic units.

S3: The Smith Sexagesimal System System
S3: The Smith Sexagesimal System System

Author: Jean-Michel Smith

Publisher:

Published: 2011-11-30

Total Pages: 72

ISBN-13: 9780983188810

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S3: The Smith Sexagesimal System is a detailed treatment and modernization of the ancient base-60 numerical system first developed by the Sumerians around 3100 BC. S3 combines ancient and modern mathematical concepts, unifying them with quantum physics and general relativity. The result is an innovative new system that enhances arithmetic intelligence and simplifies difficult physics concepts.