Tribute to Sir Arthur C. Clarke Before His Death in March at Age 90, Sir Arthur C
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[The PROOF of FERMAT's LAST THEOREM] and [OTHER MATHEMATICAL MYSTERIES] the World's Most Famous Math Problem the World's Most Famous Math Problem
0Eft- [The PROOF of FERMAT'S LAST THEOREM] and [OTHER MATHEMATICAL MYSTERIES] The World's Most Famous Math Problem The World's Most Famous Math Problem [ THE PROOF OF FERMAT'S LAST THEOREM AND OTHER MATHEMATICAL MYSTERIES I Marilyn vos Savant ST. MARTIN'S PRESS NEW YORK For permission to reprint copyrighted material, grateful acknowledgement is made to the following sources: The American Association for the Advancement of Science: Excerpts from Science, Volume 261, July 2, 1993, C 1993 by the AAAS. Reprinted by permission. Birkhauser Boston: Excerpts from The Mathematical Experience by Philip J. Davis and Reuben Hersh © 1981 Birkhauser Boston. Reprinted by permission of Birkhau- ser Boston and the authors. The Chronicleof Higher Education: Excerpts from The Chronicle of Higher Education, July 7, 1993, C) 1993 Chronicle of HigherEducation. Reprinted by permission. The New York Times: Excerpts from The New York Times, June 24, 1993, X) 1993 The New York Times. Reprinted by permission. Excerpts from The New York Times, June 29, 1993, © 1993 The New York Times. Reprinted by permission. Cody Pfanstieh/ The poem on the subject of Fermat's last theorem is reprinted cour- tesy of Cody Pfanstiehl. Karl Rubin, Ph.D.: The sketch of Dr. Wiles's proof of Fermat's Last Theorem in- cluded in the Appendix is reprinted courtesy of Karl Rubin, Ph.D. Wesley Salmon, Ph.D.: Excerpts from Zeno's Paradoxes by Wesley Salmon, editor © 1970. Reprinted by permission of the editor. Scientific American: Excerpts from "Turing Machines," by John E. Hopcroft, Scientific American, May 1984, (D 1984 Scientific American, Inc. -
San Diego Public Library New Additions September 2008
San Diego Public Library New Additions September 2008 Adult Materials 000 - Computer Science and Generalities California Room 100 - Philosophy & Psychology CD-ROMs 200 - Religion Compact Discs 300 - Social Sciences DVD Videos/Videocassettes 400 - Language eAudiobooks & eBooks 500 - Science Fiction 600 - Technology Foreign Languages 700 - Art Genealogy Room 800 - Literature Graphic Novels 900 - Geography & History Large Print Audiocassettes Newspaper Room Audiovisual Materials Biographies Fiction Call # Author Title FIC/ABE Abé, Shana. The dream thief FIC/ABRAHAMS Abrahams, Peter, 1947- Delusion [SCI-FI] FIC/ADAMS Adams, Douglas, 1952- Dirk Gently's holistic detective agency FIC/ADAMSON Adamson, Gil, 1961- The outlander : a novel FIC/ADLER Adler, Elizabeth (Elizabeth A.) Meet me in Venice FIC/AHERN Ahern, Cecelia, 1981- There's no place like here FIC/ALAM Alam, Saher, 1973- The groom to have been FIC/ALEXANDER Alexander, Robert, 1952- The Romanov bride FIC/ALI Ali, Tariq. Shadows of the pomegranate tree FIC/ALLEN Allen, Preston L., 1964- All or nothing [SCI-FI] FIC/ALLSTON Allston, Aaron. Star wars : legacy of the force : betrayal [SCI-FI] FIC/ANDERSON Anderson, Kevin J. Darksaber FIC/ARCHER Archer, Jeffrey, 1940- A prisoner of birth FIC/ARCHER Archer, Jeffrey, 1940- A prisoner of birth FIC/ARCHER Archer, Jeffrey, 1940- Cat o'nine tales and other stories FIC/ASARO Asaro, Catherine. The night bird FIC/AUSTEN Austen, Jane, 1775-1817. Emma FIC/AUSTEN Austen, Jane, 1775-1817. Mansfield Park FIC/AUSTEN Austen, Jane, 1775-1817. Minor works FIC/AUSTEN Austen, Jane, 1775-1817. Northanger Abbey and Persuasion FIC/AUSTEN Austen, Jane, 1775-1817. Sense and sensibility FIC/BAHAL Bahal, Aniruddha, 1967- Bunker 13 FIC/BALDACCI Baldacci, David. -
Fundamental Theorems in Mathematics
SOME FUNDAMENTAL THEOREMS IN MATHEMATICS OLIVER KNILL Abstract. An expository hitchhikers guide to some theorems in mathematics. Criteria for the current list of 243 theorems are whether the result can be formulated elegantly, whether it is beautiful or useful and whether it could serve as a guide [6] without leading to panic. The order is not a ranking but ordered along a time-line when things were writ- ten down. Since [556] stated “a mathematical theorem only becomes beautiful if presented as a crown jewel within a context" we try sometimes to give some context. Of course, any such list of theorems is a matter of personal preferences, taste and limitations. The num- ber of theorems is arbitrary, the initial obvious goal was 42 but that number got eventually surpassed as it is hard to stop, once started. As a compensation, there are 42 “tweetable" theorems with included proofs. More comments on the choice of the theorems is included in an epilogue. For literature on general mathematics, see [193, 189, 29, 235, 254, 619, 412, 138], for history [217, 625, 376, 73, 46, 208, 379, 365, 690, 113, 618, 79, 259, 341], for popular, beautiful or elegant things [12, 529, 201, 182, 17, 672, 673, 44, 204, 190, 245, 446, 616, 303, 201, 2, 127, 146, 128, 502, 261, 172]. For comprehensive overviews in large parts of math- ematics, [74, 165, 166, 51, 593] or predictions on developments [47]. For reflections about mathematics in general [145, 455, 45, 306, 439, 99, 561]. Encyclopedic source examples are [188, 705, 670, 102, 192, 152, 221, 191, 111, 635]. -
The Project Gutenberg Ebook #31061: a History of Mathematics
The Project Gutenberg EBook of A History of Mathematics, by Florian Cajori This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at www.gutenberg.org Title: A History of Mathematics Author: Florian Cajori Release Date: January 24, 2010 [EBook #31061] Language: English Character set encoding: ISO-8859-1 *** START OF THIS PROJECT GUTENBERG EBOOK A HISTORY OF MATHEMATICS *** Produced by Andrew D. Hwang, Peter Vachuska, Carl Hudkins and the Online Distributed Proofreading Team at http://www.pgdp.net transcriber's note Figures may have been moved with respect to the surrounding text. Minor typographical corrections and presentational changes have been made without comment. This PDF file is formatted for screen viewing, but may be easily formatted for printing. Please consult the preamble of the LATEX source file for instructions. A HISTORY OF MATHEMATICS A HISTORY OF MATHEMATICS BY FLORIAN CAJORI, Ph.D. Formerly Professor of Applied Mathematics in the Tulane University of Louisiana; now Professor of Physics in Colorado College \I am sure that no subject loses more than mathematics by any attempt to dissociate it from its history."|J. W. L. Glaisher New York THE MACMILLAN COMPANY LONDON: MACMILLAN & CO., Ltd. 1909 All rights reserved Copyright, 1893, By MACMILLAN AND CO. Set up and electrotyped January, 1894. Reprinted March, 1895; October, 1897; November, 1901; January, 1906; July, 1909. Norwood Pre&: J. S. Cushing & Co.|Berwick & Smith. -
Arnold: Swimming Against the Tide / Boris Khesin, Serge Tabachnikov, Editors
ARNOLD: Real Analysis A Comprehensive Course in Analysis, Part 1 Barry Simon Boris A. Khesin Serge L. Tabachnikov Editors http://dx.doi.org/10.1090/mbk/086 ARNOLD: AMERICAN MATHEMATICAL SOCIETY Photograph courtesy of Svetlana Tretyakova Photograph courtesy of Svetlana Vladimir Igorevich Arnold June 12, 1937–June 3, 2010 ARNOLD: Boris A. Khesin Serge L. Tabachnikov Editors AMERICAN MATHEMATICAL SOCIETY Providence, Rhode Island Translation of Chapter 7 “About Vladimir Abramovich Rokhlin” and Chapter 21 “Several Thoughts About Arnold” provided by Valentina Altman. 2010 Mathematics Subject Classification. Primary 01A65; Secondary 01A70, 01A75. For additional information and updates on this book, visit www.ams.org/bookpages/mbk-86 Library of Congress Cataloging-in-Publication Data Arnold: swimming against the tide / Boris Khesin, Serge Tabachnikov, editors. pages cm. ISBN 978-1-4704-1699-7 (alk. paper) 1. Arnold, V. I. (Vladimir Igorevich), 1937–2010. 2. Mathematicians–Russia–Biography. 3. Mathematicians–Soviet Union–Biography. 4. Mathematical analysis. 5. Differential equations. I. Khesin, Boris A. II. Tabachnikov, Serge. QA8.6.A76 2014 510.92–dc23 2014021165 [B] Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy select pages for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Permissions to reuse portions of AMS publication content are now being handled by Copyright Clearance Center’s RightsLink service. -
ADVENTURES with MATHEMATICS Ann Kitchen TO'wing Icebergs
© ATM 2010 • No reproduction (including Internet) except for legitimate academic purposes • [email protected] for permissions. Sixth Form College. Just looking at in whichy is the elevation of the water what was in everyday use not so long surface above or below the average ago gives some amusement. Did you level, x is distance, t is time and C is know that one slug was 14,606 the velocity of the waves'. The analysis kilograms? (I know that those in my carries on from there. garden are rather smaller). Or that the Although the author's back density of air is 0.00233 slugs per ground is in mechanics and fluid cubic foot? Rather more worrying is dynamics, the examples given in the the fact that a respected academic in book range far more widely, from the States does not recognise that population statistics to geography and things have changed this side of the economics. Some chapters take a Atlantic. single theoretical background with a ADVENTURESWITH This aside, the book takes a variety of applications. Thus, falling number of everyday and more dominoes are linked to tidal surges MATHEMATICS unusual situations and explores them. and wave motion. Ann Kitchen What happens and why does it The format of each chapter is the happen? How can the theory be used same. So chapter 14 deals with in other related situations? His style is skipping ropes and wind turbines. light and in places perhaps he over Now, to you and I there might not be Towing icebergs. falling simplifies, but those willing to read much connection between the two, dominoes and other adventures with care will find a wealth of starting but Professor Banks takes us through in applied mathematics points suggested. -
ARTHUR C. CLARKE Father of Satellite Communication
K. SMILES MASCARENHAS ARTHUR C. CLARKE Father of Satellite Communication Sir Arthur C. Clarke, one of the greatest science fiction Feature Article Feature writers, will continue to shine like a bright star among the scientific greats of our time for years to come. “Prediction is very difficult, especially if it’s about the future.” A geostationary satellite is a satellite that has its revolution — Niels Bohr period equal to the earth’s rotation period. When viewed from any geographical point, it will appear to be stationary above it. HEN we see Wimbledon live, or the opening ceremony To satisfy this condition, the satellite has to orbit the earth at a of the Olympics, via satellite, we seldom remember height of 36, 000 km above the equator. Technologically, it would Wthe person who first suggested that satellites could be not have appeared feasible at that time. An orbit of 36,000 km used for communication purposes. Even when that person above the equator is officially recognized by the International entered the Glorious Abode on 19 March 2008, few TV channels Astronomical Union (IAU) as a “Clarke Orbit”, in his honour. The remembered him with gratitude. Even Science Fiction buffs who concept was published in the “Wireless World” magazine in read his novels avidly must have failed to notice the demise of a October 1945. Clarke would have made billions if he had great Scientific Prophet—Sir Arthur C. Clarke who predicted not patented his idea. But like the great Marie Curie, who refused to only communication through geostationary satellites, but also patent her discovery of Radium, Clarke’s only intention was to advances in computer technology. -
Some Set Theories Are More Equal
SOME SET THEORIES ARE MORE EQUAL MENACHEM MAGIDOR Preliminary Draft 1. The shock of of independence The proof of independence of the Continuum Hypothesis by Paul Cohen in 1963 and the avalanche of additional independence results was the trigger to a very intensive discourse about the future of Set Theory and its foundational role in Mathematics. It will be only fair to say that while the invention of forcing initiated the blooming of Set Theory as a technical mathematical discipline, it had a shocking effect on the perception of Set Theory as the framework in which all of Math- ematics (or at least a major part of it) can be formalized.The prevailing tone of these reactions is that Set Theory (at least as formalized by the Zermelo-Fraenkel axioms, denoted by ZFC) lost its uniqueness.What made the shock even more dramatic was the fact the proof of the in- dependence of the Continuum Hypothesis showed that ZFC gives us very little information about the size of the Continuum and as far as the axioms are concerned there is a huge range of possibilities like @0 @0 @0 @0 @0 2 = @1; 2 = @2 ::: 2 = @211086 ::: 2 = @!+172 = @!1 . Here are two quotes from many: Such results show that axiomatic Set Theory is hope- lessly incomplete. If there are a multitude of set the- ories then none of them can claim the central place in Mathematics. (Mostowski-1967 [29]) Beyond classical analysis there is an infinity of differ- ent mathematics and for the time being no definitive reason compels us to chose one rather than another. -
Redalyc.Solution for Fermat's Last Theorem
Revista Científica General José María Córdova ISSN: 1900-6586 [email protected] Escuela Militar de Cadetes "General José María Córdova" Colombia Porras Ferreira, José William Solution for Fermat’s Last Theorem Revista Científica General José María Córdova, vol. 14, núm. 17, enero-junio, 2016, pp. 418-425 Escuela Militar de Cadetes "General José María Córdova" Bogotá, Colombia Available in: http://www.redalyc.org/articulo.oa?id=476255357015 How to cite Complete issue Scientific Information System More information about this article Network of Scientific Journals from Latin America, the Caribbean, Spain and Portugal Journal's homepage in redalyc.org Non-profit academic project, developed under the open access initiative Recensions / Recensions / Rencensões Solution for Fermat’s Last Theorem Mathematical Recension (English) By the Colombian Navy Vice Admiral José William Porras Ferreira RECENSIÓN 1 RECENSIÓN 1 Colombian Navy, Bogota, Colombia. Abstract. Fermat’s Last Theorem (FLT), (1637), states that if n is an integer greater than 2, then it is impossible to find three natural numbers x, y and z where such equality is met being (x,y)>0 in xn+yn=zn. This paper shows the methodology to prove Fermat’s Last Theorem using Reduction ad absurdum, the Pythagorean Theorem and the property of similar triangles, known in the 17TH century, when Fermat enunciated the theorem. Key Words: Fermat’s Last Theorem, Pythagorean Theorem, Reduction ad absurdum, similar triangles Introduction Fermat's last theorem (FLT) or Fermat-Wiles’s theorem is one of the most famous theorems in the history of mathematics [1]-[2]-[3]. The unsolved problem stimulated the development of al- gebraic number theory in the 19th century and the proof of the modularity theorem in the 20th century. -
Arthur C. Clarke Collection of Sri Lanka
Arthur C. Clarke Collection of Sri Lanka Tyler Love 2015 National Air and Space Museum Archives 14390 Air & Space Museum Parkway Chantilly, VA 20151 [email protected] https://airandspace.si.edu/archives Table of Contents Collection Overview ........................................................................................................ 1 Administrative Information .............................................................................................. 1 Arrangement..................................................................................................................... 2 Biographical / Historical.................................................................................................... 1 Scope and Contents........................................................................................................ 2 Names and Subjects ...................................................................................................... 3 Container Listing ............................................................................................................. 4 Series 1: Correspondence, 1937-2009 (bulk 1962-2005)........................................ 4 Series 2: Original Writing, 1948-c.2008 (bulk 1948-2008)..................................... 32 Series 3: Media & Publicity, 1950-2007 (bulk 1960-2007)..................................... 52 Series 4: Awards & Tributes, 1932-2003............................................................... 56 Series 5: Manuscripts written by others relating to Clarke's -
{PDF EPUB} the Infinite Arena Seven Science Fiction Stories About Sports by Terry Carr the Infinite Arena: Seven Science Fiction Stories About Sports by Terry Carr
Read Ebook {PDF EPUB} The Infinite Arena Seven Science Fiction Stories About Sports by Terry Carr The Infinite Arena: Seven Science Fiction Stories About Sports by Terry Carr. A touch melodramatic, but conveys the sinking feeling of lost childhood treasures and relationships quite well. Alexander, Holmes. "Five-Inning Wonder." Saturday Evening Post 219.8 (24 August 1946): 24-25, 54, 57. A pitcher returns from the war with an injured hand; his career is on the line – can he come through in the clutch? Alexander, Skye. "Life, Death, Love, and Baseball." In Undertow: Crime Stories by New England Writers (Level Best Books, 2003). Repr. Pachter. In the strike summer of 1981, a gardener starts an affair with a photographer client that she first meets at a Red Sox game. Develops an intriguing, unsettling plot but then wraps up rather too quickly. Alexie, Sherman. "The Warriors." In One Stick Song (Brooklyn: Hanging Loose Press, 2000): 42-54. Memories of a Spokane Indian basketball star who hates baseball. The memories are of friendship, playground pecking orders, lust, and Strat-O-Matic. A prose piece that forms the center of a poetry collection. Algren, Nelson. "I Guess You Fellows Just Don't Want Me." The Last Carousel (1973). Repr. Bowering. An urban tall tale about a character named Ipso Facto, who, in one ballgame, almost steals a run by stealing the baseball. Amaral, Richard E. "Babe Herman in Cooperstown." Aethlon 29.1 (Fall 2011 / Winter 2012): 121-133. Magical-realist encounter with famed Dodger. Anderson, Poul, and Gordon R. Dickson. "Joy in Mudville." Fantasy and Science Fiction , 1955. -
The Last Theorem Free
FREE THE LAST THEOREM PDF Arthur C. Clarke,Frederik Pohl | 448 pages | 12 Jan 2011 | HarperCollins Publishers | 9780007290024 | English | London, United Kingdom MathFiction: The Last Theorem (Arthur C. Clarke / Frederik Pohl) The Last Theorem Arthur C. Ranjit Subramanian, the protagonist in this science fiction novel, is a young Sri Lankan man who re discovers a short and elementary proof of Fermat's Last Theorem while enduring torture during an unjust imprisonment. The novel reads like a "classic" SF novel from the early latter half of the 20th Century, which is perhaps not surprising considering that its authors are two of the most famous authors from that period in the history of genre. The age of the authors does result in a few quaint anachronisms -- such as the The Last Theorem wife who has an advanced degree of her own but gives up her career to raise the kids and make eggs for her brilliant husband -- but I personally enjoyed the opportunity to read one more new novel written in this classic style. However, the authors do a surprisingly bad job with the mathematics, and repeatedly and unfairly defame Andrew Wiles' actual proof of Fermat's Last Theorem. The main underlying plot involves a plan by the great and advanced civilizations of the galaxy to destroy life on Earth before we can cause trouble for them. Throughout the novel, as other minor human plot lines are elaborated upon, we are reminded that the planned The Last Theorem is getting closer and closer. Other features of the story include the building of a space elevatorsports in space, religion primarily Hinduism and atheism, terrorism and "extraordinary rendition", the United Nations and another international organization which "peacefully" destroys their opponents' electronics with a nuclear blast.