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Finite Precision Number Systems And Arithmetic

Author: Peter Kornerup
Publisher: Cambridge University Press
ISBN: 0521761352
Size: 17.88 MB
Format: PDF, Kindle
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This comprehensive reference volume, suitable for graduate teaching, includes problems, exercises, solutions and an extensive bibliography.

Equivalents Of The Riemann Hypothesis

Author: Kevin Broughan
Publisher: Cambridge University Press
ISBN: 110719704X
Size: 63.78 MB
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The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.

Advances In Cryptology Asiacrypt 2001

Author: Colin Boyd
Publisher: Springer Verlag
ISBN: 9783540429876
Size: 10.11 MB
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This book constitutes the refereed proceedings of the 7th International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2001, held in Gold Coast, Australia in December 2001. The 33 revised full papers presented together with an invited paper were carefully reviewed and selected from 153 submissions. The papers are organized in topical sections on lattice based cryptography, human identification, practical public key cryptography, cryptography based on coding theory, block ciphers, provable security, threshold cryptography, two-party protocols, zero knowledge, cryptographic building blocks, elliptic curve cryptography, and anonymity.

Encyclopedia Of Mathematics

Author: James Stuart Tanton
Publisher: Infobase Publishing
ISBN: 1438110081
Size: 63.15 MB
Format: PDF, Docs
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Encyclopedia of Mathematics is a comprehensive one-volume encyclopedia designed for high school through early college students. More than 1,000 entries, numerous essays, and more than 125 photographs and illustrations cover the principal areas and issues that characterize this "new" area of science. This valuable resource unites disparate ideas and provides the meaning, history, context, and relevance behind each one. The easy-to-use format makes finding straightforward and natural answers to questions within arithmetic simple. Encyclopedia of Mathematics also gives historical context to mathematical concepts, with entries discussing ancient Arabic, Babylonian, Chinese, Egyptian, Greek, Hindu, and Mayan mathematics, as well as entries providing biographical descriptions of important people in the development of mathematics.

Modern Computer Arithmetic

Author: Richard P. Brent
Publisher: Cambridge University Press
ISBN: 1139492284
Size: 21.20 MB
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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 favourite 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 to selected exercises are available from the authors.

The Crest Of The Peacock

Author: George Gheverghese Joseph
Publisher: Princeton University Press
ISBN: 9780691135267
Size: 43.88 MB
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"Enthralling ... After reading it, we cannot see the past in the same comforting haze of age-old stories, faithfully and uncritically retold from teacher to pupil down the years ... Invaluable for mathematics teachers at all levels."--New Scientist.

Dynamics Of Number Systems

Author: Petr Kurka
Publisher: Springer
ISBN: 3319333674
Size: 48.16 MB
Format: PDF, Docs
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This book is a source of valuable and useful information on the topics of dynamics of number systems and scientific computation with arbitrary precision. It is addressed to scholars, scientists and engineers, and graduate students. The treatment is elementary and self-contained with relevance both for theory and applications. The basic prerequisite of the book is linear algebra and matrix calculus.

An Episodic History Of Mathematics

Author: Steven G. Krantz
Publisher: MAA
ISBN: 0883857669
Size: 58.46 MB
Format: PDF, Mobi
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An Episodic History of Mathematics will acquaint students and readers with mathematical language, thought, and mathematical life by means of historically important mathematical vignettes. It will also serve to help prospective teachers become more familiar with important ideas of in the history of mathematicsboth classical and modern.Contained within are wonderful and engaging stories and anecdotes about Pythagoras and Galois and Cantor and Poincar, which let readers indulge themselves in whimsy, gossip, and learning. The mathematicians treated here were complex individuals who led colorful and fascinating lives, and did fascinating mathematics. They remain interesting to us as people and as scientists.This history of mathematics is also an opportunity to have some fun because the focus in this text is also on the practicalgetting involved with the mathematics and solving problems. This book is unabashedly mathematical. In the course of reading this book, the neophyte will become involved with mathematics by working on the same problems that, for instance, Zeno and Pythagoras and Descartes and Fermat and Riemann worked on.This is a book to be read, therefore, with pencil and paper in hand, and a calculator or computer close by. All will want to experiment; to try things; and become a part of the mathematical process.