Proofs from THE BOOK
Proofs from THE BOOK

Author: Martin Aigner

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 194

ISBN-13: 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.

Interactive Theorem Proving and Program Development
Interactive Theorem Proving and Program Development

Author: Yves Bertot

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 492

ISBN-13: 366207964X

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A practical introduction to the development of proofs and certified programs using Coq. An invaluable tool for researchers, students, and engineers interested in formal methods and the development of zero-fault software.

David Maisel: Proving Ground
David Maisel: Proving Ground

Author:

Publisher:

Published: 2020-02-18

Total Pages: 250

ISBN-13: 9781942185666

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Aerial and on-site photographs made at a classified military site in the Great Salt Lake Desert by David Maisel, author of Black Maps David Maisel's (born 1961) Proving Ground comprises aerial and on-site photographs made at Dugway Proving Ground, a classified military site covering nearly 800,000 acres in Utah's Great Salt Lake Desert. A primary mission of Dugway is to develop, test and implement chemical and biological weaponry and defense programs. After more than a decade of inquiry, Maisel was granted access to this facility in order to photograph the terrain, the testing facilities and other aspects of the site. Maisel began by photographing at ground level, focusing on structures related to the testing of chemical warfare dispersal patterns. He then moved to an aerial perspective to create images that resemble large-scale minimalist drawings inscribed on the land. Maisel's work at Dugway also includes photographs of the newly minted WSLAT (Whole System Live Agent Test) facility, which is devoted to identification and neutralization of chemical and biological toxins that can be weaponized by terrorists or rogue nations.

The Proving
The Proving

Author: Beverly Lewis

Publisher: Bethany House

Published: 2017-09-05

Total Pages: 321

ISBN-13: 1493411853

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Amish Fiction's #1 Author Presents a Touching Story of Perseverance and Second Chances Amanda Dienner hasn't seen her Old Order family in five years when she receives word that her mother has passed away and left her Lancaster County's most popular Amish bed-and-breakfast. Now an Englisher, Mandy is shocked: Her twin sister should have been the obvious choice! What's more, the inheritance comes with a catch: The farmhouse inn will only truly be hers if she is able to successfully run it for twelve consecutive months. Mandy accepts the challenge even though it means returning to Gordonville and the painful memories she left behind at eighteen. Still, she's determined to prove she is more than capable of running the bed-and-breakfast, no matter that its loyal clientele are expecting an Amish hostess! The inn isn't Mandy's sole test, however. Rubbing shoulders with her married twin sister reopens wounds that Mandy isn't ready to forgive. And an Englisher guest with a difficult past of her own just complicates matters. Can Mandy fulfill the terms of her inheritance? Or will this year in Amish country prove a dreadful mistake?

"Proving Contraries"

Author: Robert A. Rees

Publisher:

Published: 2005

Total Pages: 0

ISBN-13: 9781560851905

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In honor of the late BYU Professor Eugene England (1933-2001), friends and colleagues have contributed their best original stories, poems, reminiscences, scholarly articles, and essays for this impressive volume. In one essay, "Eugene England Enters Heaven," Robert A. Rees imagines his friend being welcomed into heaven by the Savior. Rees then imagines England "organizing contests between the Telestial and Celestial Kingdoms, leading a theater tour to Kolob, and pleading the cause of friends still struggling in mortality. This," he concludes, "is the image I have of Gene, that I hold in my heart."

How to Prove It
How to Prove It

Author: Daniel J. Velleman

Publisher: Cambridge University Press

Published: 2006-01-16

Total Pages: 401

ISBN-13: 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.

Proving Ground
Proving Ground

Author: William David Tarver

Publisher:

Published: 2012

Total Pages: 0

ISBN-13: 9781879384927

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What would cause a young African American engineer to walk away from a promising career at the world's foremost electronics research and development company to start a business, from scratch, in his basement? David Tarver not only did that, he convinced two African American colleagues to join him in the improbable venture. Twelve years later, he negotiated the sale of that venture, Telecom Analysis Systems Inc., for $30 million. Tarver's business success was accomplished without the help of angel investors, venture capital, government grants, or minority business development programs. Overcoming obstacles related to race, technology, and business, Tarver and his colleagues conceived, designed, engineered, and manufactured sophisticated telecommunications instruments and sold them in more than twenty countries. David Tarver felt he had something important to prove to himself, to his colleagues, and to society. That is why he was willing to risk everything on a roll of the entrepreneuri

Proof and Proving in Mathematics Education
Proof and Proving in Mathematics Education

Author: Gila Hanna

Publisher: Springer Science & Business Media

Published: 2012-06-14

Total Pages: 468

ISBN-13: 9400721293

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*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.

Proving Einstein Right
Proving Einstein Right

Author: S. James Gates Jr.

Publisher: PublicAffairs

Published: 2019-09-24

Total Pages: 411

ISBN-13: 1541762231

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A thrilling adventure story chronicling the perilous journey of the scientists who set out to prove the theory of relativity--the results of which catapulted Albert Einstein to fame and forever changed our understanding of the universe. In 1911, a relatively unknown physicist named Albert Einstein published his preliminary theory of gravity. But it hadn't been tested. To do that, he needed a photograph of starlight as it passed the sun during a total solar eclipse. So began a nearly decade-long quest by seven determined astronomers from observatories in four countries, who traveled the world during five eclipses to capture the elusive sight. Over the years, they faced thunderstorms, the ravages of a world war, lost equipment, and local superstitions. Finally, in May of 1919, British expeditions to northern Brazil and the island of Príncipe managed to photograph the stars, confirming Einstein's theory. At its heart, this is a story of frustration, faith, and ultimate victory--and of the scientists whose efforts helped build the framework for the big bang theory, catapulted Einstein to international fame, and shook the foundation of physics.

What We Believe but Cannot Prove
What We Believe but Cannot Prove

Author: John Brockman

Publisher: Harper Collins

Published: 2009-10-13

Total Pages: 324

ISBN-13: 0061828106

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More than one hundred of the world's leading thinkers write about things they believe in, despite the absence of concrete proof Scientific theory, more often than not, is born of bold assumption, disparate bits of unconnected evidence, and educated leaps of faith. Some of the most potent beliefs among brilliant minds are based on supposition alone -- yet that is enough to push those minds toward making the theory viable. Eminent cultural impresario, editor, and publisher of Edge (www.edge.org), John Brockman asked a group of leading scientists and thinkers to answer the question: What do you believe to be true even though you cannot prove it? This book brings together the very best answers from the most distinguished contributors. Thought-provoking and hugely compelling, this collection of bite-size thought-experiments is a fascinating insight into the instinctive beliefs of some of the most brilliant minds today.