Book picks similar to
Prime Numbers: A Computational Perspective by Richard Crandall
math
mathematics
reference
maths
Practical Cryptography
Niels Ferguson - 2003
The gold standard for attaining security is cryptography because it provides the most reliable tools for storing or transmitting digital information. Written by Niels Ferguson, lead cryptographer for Counterpane, Bruce Schneier's security company, and Bruce Schneier himself, this is the much anticipated follow-up book to Schneier's seminal encyclopedic reference, Applied Cryptography, Second Edition (0-471-11709-9), which has sold more than 150,000 copies. Niels Ferguson (Amsterdam, Netherlands) is a cryptographic engineer and consultant at Counterpane Internet Security. He has extensive experience in the creation and design of security algorithms, protocols, and multinational security infrastructures. Previously, Ferguson was a cryptographer for DigiCash and CWI. At CWI he developed the first generation of off-line payment protocols. He has published numerous scientific papers. Bruce Schneier (Minneapolis, MN) is Founder and Chief Technical Officer at Counterpane Internet Security, a managed-security monitoring company. He is also the author of Secrets and Lies: Digital Security in a Networked World (0-471-25311-1).
Essays on the Theory of Numbers
Richard Dedekind - 1901
W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.
Group Theory in the Bedroom, and Other Mathematical Diversions
Brian Hayes - 2008
(The also-rans that year included Tom Wolfe, Verlyn Klinkenborg, and Oliver Sacks.) Hayes's work in this genre has also appeared in such anthologies as The Best American Magazine Writing, The Best American Science and Nature Writing, and The Norton Reader. Here he offers us a selection of his most memorable and accessible pieces--including "Clock of Ages"--embellishing them with an overall, scene-setting preface, reconfigured illustrations, and a refreshingly self-critical "Afterthoughts" section appended to each essay.
An Imaginary Tale: The Story of the Square Root of Minus One
Paul J. Nahin - 1998
Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts, mathematical discussions, and the application of complex numbers and functions to important problems.
An Introduction to the Theory of Numbers
G.H. Hardy - 1980
The fifth edition of this classic reference work has been updated to give a reasonably accurate account of the present state of knowledge.
The Official Ubuntu Book [With DVD]
Benjamin Mako Hill - 2006
It's friendly, accessible, and reliable -- all qualities that apply to its official guidebook, too. This book captures the welcoming feel of the Ubuntu community, inviting you to get involved both as user and participant. But it also covers all the techniques you need to succeed happily with Ubuntu: from installation and configuration to "office applications," CD burning to instant messaging, networking to troubleshooting. There are plenty of specific answers: how to make Ubuntu run faster on older computers; better coexistence with Windows; fixes for balky microphones and scroll-wheel mice; tips for recovering lost system passwords, and much more. You'll even find chapters on Kubuntu (Ubuntu preconfigured with the KDE graphical user interface) and Edubuntu (Ubuntu optimized for schools). Plus, instant gratification: This book's DVD contains the full 7.0.4 "Feisty Fawn" distribution. Bill Camarda, from the October 2007 href="http://www.barnesandnoble.com/newslet... Only
Abstract Algebra
I.N. Herstein - 1986
Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.
Graph Theory With Applications To Engineering And Computer Science
Narsingh Deo - 2004
GRAPH THEORY WITH APPLICATIONS TO ENGINEERING AND COMPUTER SCIENCE-PHI-DEO, NARSINGH-1979-EDN-1
How to Solve It: Modern Heuristics
Zbigniew Michalewicz - 2004
Publilius Syrus, Moral Sayings We've been very fortunate to receive fantastic feedback from our readers during the last four years, since the first edition of How to Solve It: Modern Heuristics was published in 1999. It's heartening to know that so many people appreciated the book and, even more importantly, were using the book to help them solve their problems. One professor, who published a review of the book, said that his students had given the best course reviews he'd seen in 15 years when using our text. There can be hardly any better praise, except to add that one of the book reviews published in a SIAM journal received the best review award as well. We greatly appreciate your kind words and personal comments that you sent, including the few cases where you found some typographical or other errors. Thank you all for this wonderful support.
Computers and Intractability: A Guide to the Theory of NP-Completeness
Michael R. Garey - 1979
Johnson. It was the first book exclusively on the theory of NP-completeness and computational intractability. The book features an appendix providing a thorough compendium of NP-complete problems (which was updated in later printings of the book). The book is now outdated in some respects as it does not cover more recent development such as the PCP theorem. It is nevertheless still in print and is regarded as a classic: in a 2006 study, the CiteSeer search engine listed the book as the most cited reference in computer science literature.
Calculus
Ron Larson - 1999
It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.
Computability and Logic
George S. Boolos - 1980
Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a new and simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems.
How to Prove It: A Structured Approach
Daniel J. Velleman - 1994
The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5
104 Number Theory Problems: From the Training of the USA IMO Team
Titu Andreescu - 2006
Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.