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Proofs and Confirmations

Proofs and Confirmations
Author: David M. Bressoud
Publisher: Cambridge University Press
Total Pages: 292
Release: 1999-08-13
Genre: Mathematics
ISBN: 1316582752

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This is an introduction to recent developments in algebraic combinatorics and an illustration of how research in mathematics actually progresses. The author recounts the story of the search for and discovery of a proof of a formula conjectured in the late 1970s: the number of n x n alternating sign matrices, objects that generalize permutation matrices. While apparent that the conjecture must be true, the proof was elusive. Researchers became drawn to this problem, making connections to aspects of invariant theory, to symmetric functions, to hypergeometric and basic hypergeometric series, and, finally, to the six-vertex model of statistical mechanics. All these threads are brought together in Zeilberger's 1996 proof of the original conjecture. The book is accessible to anyone with a knowledge of linear algebra. Students will learn what mathematicians actually do in an interesting and new area of mathematics, and even researchers in combinatorics will find something new here.


Book of Proof

Book of Proof
Author: Richard H. Hammack
Publisher:
Total Pages: 314
Release: 2016-01-01
Genre: Mathematics
ISBN: 9780989472111

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This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.


How to Prove It

How to Prove It
Author: Daniel J. Velleman
Publisher: Cambridge University Press
Total Pages: 401
Release: 2006-01-16
Genre: Mathematics
ISBN: 0521861241

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Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. 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. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to 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. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.


Proofs from THE BOOK

Proofs from THE BOOK
Author: Martin Aigner
Publisher: Springer Science & Business Media
Total Pages: 194
Release: 2013-06-29
Genre: Mathematics
ISBN: 3662223430

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According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.


1992 Census of Wholesale Trade

1992 Census of Wholesale Trade
Author:
Publisher:
Total Pages: 104
Release: 1994
Genre: Electronic government information
ISBN:

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Confirmation

Confirmation
Author: Whitley Strieber
Publisher: Macmillan
Total Pages: 348
Release: 1999-02-15
Genre: Fiction
ISBN: 9780312967048

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Warning: After you read this book you will believe in alien life. The possible existence of extraterrestrial life is a phenomenon that has sparked more debate, controversy, fascination, and passion than any in recent history. Outpourings of UFO sightings, alien abductions, and covert government activity point to a truth which-as much as some people would like to-simply won't die. Now, in this provocative new book, bestselling author and UFOlogist Whitley Strieber boldly explores the vast territory of alien encounters, uncovering the most conclusive evidence of all: physical evidence that aliens may really be here. Marvel as Whitley Strieber tells his own compelling story-and those of countless others-while you discover: -Shocking new close encounters, many involving groups of people -Thousands of sightings worldwide, many captured on video -Shocking evidence of five mysterious implants surgically removed from human bodies -And much, much more! The most compelling question in the universe has remained unanswered for centuries. Now, finally, there is...Confirmation. With a gallery of thought-provoking photos!


Communion

Communion
Author: Whitley Strieber
Publisher: Harper Collins
Total Pages: 338
Release: 2008-01-02
Genre: Body, Mind & Spirit
ISBN: 0061474185

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Thus begins the most astonishing true-life odyssey ever recorded—one man's riveting account of his extraordinary experiences with visitors from “elsewhere” . . . how they found him, where they took him, what they did to him, and why. Believe it. Or don't believe it. But read it—for this gripping story will move you like no other. It will fascinate you, terrify you, and alter the way you experience your world.


Change and Progress in Modern Science

Change and Progress in Modern Science
Author: Joseph C. Pitt
Publisher: Springer Science & Business Media
Total Pages: 399
Release: 2012-12-06
Genre: Science
ISBN: 9400965257

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The papers presented here derive from the 4th International Confe:--ence on History and Philosophy of Science held in Blacksburg, Virginia, U.S.A., November 2-6, 1982. The Conference was sponsored by the I nternational Union of History and Philosophy of Science and Virginia Polytechnic Institute and State University (Virginia Tech). Particular thanks go to L. Jonathan Cohen, Secretary of the Union, as well as to Dean Henry Bauer of the College of Arts & Sciences, Wilfred Jewkes and the Center for Programs in the Humanities, Arthur Donovan and the Center for the Study of Science in Society and the Department of Philoso phy and Religion at Virginia Tech. Not only did they come through with the necessat"y funds, but they were all always ready with a helping hand when things got confusing. Two additional groups of individuals require a special note of thanks. First, considerable appreciation is due the mem bers of the Joint Commission of the I nternational Union of History and Philosophy of Science: Maurice Crosland, Risto Hilpinen and Vladimir Kirsanov. They were more than gen erous in thei r advice and co-operation. The Local Organizing Committee (Kenneth Alpern, Roger Ariew, Arthur Donovan, Larry Laudan, Ann La Berge, Duncan Porter, Eleonore Stump and Dennis Welch) not only demon strated efficiency and insured a pleasant stay for' all participants, but also went out of their way on numerous occasions to make everyone feel at home.


Advances in Cryptology – EUROCRYPT ’96

Advances in Cryptology – EUROCRYPT ’96
Author: Ueli Maurer
Publisher: Springer
Total Pages: 429
Release: 2003-05-15
Genre: Computers
ISBN: 3540683399

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The EUROCRYPT ’96 conference was sponsored by the International Asso- ation for Cryptologic Research (IACR)l, in cooperation with the University of Saragossa. It took place at the Palacio de Congresos in Saragossa, Spain, during May 12-16, 1996. This was the fifteenth annual EUROCRYPT conference (this name has been used since the third conference held in 1984), each of which has been held in a different city in Europe. For the second time, proceedings were available at the conference. JosC Pastor Franco, the General Chair, was resp- sible for local organization and registration. His contribution to the snccess of the conference is gratefully acknowledged. The Program Committee considered 126 submitted papers and selected 34 for presentation. Each paper was sent to all members of the Program Committee and was assigned to at least three of them for careful evaluation. There were also two invited talks. James L. Massey, this year’s IACR Distinguished Ltcturer, gave a lecture entitled “The difficulty with difficulty”. Massey is the third to receive this honor, the first two being Gustavus Simmons and Adi Shamir. Shafi Goldwasser gave an invited talk entitled “Multi party secure protocols: past and present”. These proceedings contain revised versions of the 34 contributed talks. While the papers were carefully selected, they have not been refereed like submissions to a refereed journal. The authors bear full responsibility for the contents of their papers. Some authors may write final versions of their papers for publication in a refereed journal.


The History of Mathematical Proof in Ancient Traditions

The History of Mathematical Proof in Ancient Traditions
Author: Karine Chemla
Publisher: Cambridge University Press
Total Pages: 522
Release: 2012-07-05
Genre: Philosophy
ISBN: 1139510584

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This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.