Numerical Methods for Roots of Polynomials - Part II
Numerical Methods for Roots of Polynomials - Part II

Author: J.M. McNamee

Publisher: Newnes

Published: 2013-07-19

Total Pages: 749

ISBN-13: 008093143X

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Numerical Methods for Roots of Polynomials - Part II along with Part I (9780444527295) covers most of the traditional methods for polynomial root-finding such as interpolation and methods due to Graeffe, Laguerre, and Jenkins and Traub. It includes many other methods and topics as well and has a chapter devoted to certain modern virtually optimal methods. Additionally, there are pointers to robust and efficient programs. This book is invaluable to anyone doing research in polynomial roots, or teaching a graduate course on that topic. - First comprehensive treatment of Root-Finding in several decades with a description of high-grade software and where it can be downloaded - Offers a long chapter on matrix methods and includes Parallel methods and errors where appropriate - Proves invaluable for research or graduate course

Polynomial Root-finding and Polynomiography
Polynomial Root-finding and Polynomiography

Author: Bahman Kalantari

Publisher: World Scientific

Published: 2009

Total Pages: 492

ISBN-13: 9812700595

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This book offers fascinating and modern perspectives into the theory and practice of the historical subject of polynomial root-finding, rejuvenating the field via polynomiography, a creative and novel computer visualization that renders spectacular images of a polynomial equation. Polynomiography will not only pave the way for new applications of polynomials in science and mathematics, but also in art and education. The book presents a thorough development of the basic family, arguably the most fundamental family of iteration functions, deriving many surprising and novel theoretical and practical applications such as: algorithms for approximation of roots of polynomials and analytic functions, polynomiography, bounds on zeros of polynomials, formulas for the approximation of Pi, and characterizations or visualizations associated with a homogeneous linear recurrence relation. These discoveries and a set of beautiful images that provide new visions, even of the well-known polynomials and recurrences, are the makeup of a very desirable book. This book is a must for mathematicians, scientists, advanced undergraduates and graduates, but is also for anyone with an appreciation for the connections between a fantastically creative art form and its ancient mathematical foundations.

Digital Computers in Action
Digital Computers in Action

Author: A. D. Booth

Publisher: Elsevier

Published: 2014-05-18

Total Pages: 155

ISBN-13: 1483147193

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Digital Computers in Action is an introduction to the basics of digital computers as well as their programming and various applications in fields such as mathematics, science, engineering, economics, medicine, and law. Other topics include engineering automation, process control, special purpose games-playing devices, machine translation and mechanized linguistics, and information retrieval. This book consists of 14 chapters and begins by discussing the history of computers, from the idea of performing complex arithmetical calculations to the emergence of a modern view of the structure of a general purpose computing machine. Some of the most important applications of computers are also considered. This text introduces the structure and capabilities of the modern electronic digital computer; what operations can be performed by a typical machine and how these operations make the process of automatic calculation a useful one; and the uses of digital computers in mathematics, science, engineering, economics, medicine, and law. This book also examines the applications of computers to the automation of production engineering, process control in refinery transportation and the factory, and machine translation and mechanized linguistics. The final chapter deals with the use of computers in information storage and retrieval. This reference material is intended for students who wish to know how computers can be of assistance in their own disciplines.