Uncle Petros and Goldbach's Conjecture

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Author: Apostolos Doxiadis

Publisher: Faber & Faber

ISBN: 057129569X

Category: Fiction

Page: 224

View: 4916

Uncle Petros is a family joke. An ageing recluse, he lives alone in a suburb of Athens, playing chess and tending to his garden. If you didn't know better, you'd surely think he was one of life's failures. But his young nephew suspects otherwise. For Uncle Petros, he discovers, was once a celebrated mathematician, brilliant and foolhardy enough to stake everything on solving a problem that had defied all attempts at proof for nearly three centuries - Goldbach's Conjecture. His quest brings him into contact with some of the century's greatest mathematicians, including the Indian prodigy Ramanujan and the young Alan Turing. But his struggle is lonely and single-minded, and by the end it has apparently destroyed his life. Until that is a final encounter with his nephew opens up to Petros, once more, the deep mysterious beauty of mathematics. Uncle Petros and Goldbach's Conjecture is an inspiring novel of intellectual adventure, proud genius, the exhilaration of pure mathematics - and the rivalry and antagonism which torment those who pursue impossible goals.

Logicomix

eine epische Suche nach Wahrheit : Leseprobe

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Author: Apostolos K. Doxiadēs,Christos H. Papadimitriou

Publisher: N.A

ISBN: 9783855350698

Category: German comic books, strips, etc

Page: 351

View: 7253

Des Menschen Wolf

Roman

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Author: Apostolos Doxiadis

Publisher: Tropen

ISBN: 3608108645

Category: Fiction

Page: 320

View: 1519

Ben Frank hat Blut an seinen Händen. Bei einer Kneipenschlägerei tötet er den Sohn des berüchtigten Mafiabosses Tonio Lupo. Und dieser sinnt auf Rache: Auch Franks Söhne sollen in dem Alter ermordet werden, in dem sein Sohn starb. Schicksal, Zufall, bewusste Entscheidungen: ein spannender Rache-Thriller über die Frage, wie wir dem Tod ein Schnippchen schlagen können. Al, Nick und Leo Frank sind sich keiner Schuld bewusst. Doch der vom Tode gezeichnete Mafiaboss nimmt seine Rache ernst: Er setzt einen Profikiller auf die drei Brüder an, der sie umbringen soll, sobald sie 42 Jahre alt sind. Während Al sich durch Reichtum zu schützen sucht, flüchtet Nick in den Glamour von Hollywood, um sich unverwundbar zu machen. Nur der jüngste Bruder Leo ist noch zu klein, um von dem Fluch zu erfahren, und führt zunächst ein unbeschwertes Leben. Aber auch für den Profikiller stellt sich die Frage, wie er leben soll, bis seine Opfer ihr entsprechendes Alter erreicht haben.

Dr. Euler's Fabulous Formula

Cures Many Mathematical Ills

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Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 9780691118222

Category: Mathematics

Page: 380

View: 3466

Accessible to any reader with the equivalent of the first two years of college mathematics, this is the story behind one of the world's most influential mathematical equations. 2 halftones. 77 line illustrations.

Mathematical Logic

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Author: George Tourlakis

Publisher: John Wiley & Sons

ISBN: 1118030699

Category: Mathematics

Page: 294

View: 2519

A comprehensive and user-friendly guide to the use of logic inmathematical reasoning Mathematical Logic presents a comprehensive introductionto formal methods of logic and their use as a reliable tool fordeductive reasoning. With its user-friendly approach, this booksuccessfully equips readers with the key concepts and methods forformulating valid mathematical arguments that can be used touncover truths across diverse areas of study such as mathematics,computer science, and philosophy. The book develops the logical tools for writing proofs byguiding readers through both the established "Hilbert" style ofproof writing, as well as the "equational" style that is emergingin computer science and engineering applications. Chapters havebeen organized into the two topical areas of Boolean logic andpredicate logic. Techniques situated outside formal logic areapplied to illustrate and demonstrate significant facts regardingthe power and limitations of logic, such as: Logic can certify truths and only truths. Logic can certify all absolute truths (completeness theorems ofPost and Gödel). Logic cannot certify all "conditional" truths, such as thosethat are specific to the Peano arithmetic. Therefore, logic hassome serious limitations, as shown through Gödel'sincompleteness theorem. Numerous examples and problem sets are provided throughout thetext, further facilitating readers' understanding of thecapabilities of logic to discover mathematical truths. In addition,an extensive appendix introduces Tarski semantics and proceeds withdetailed proofs of completeness and first incompleteness theorems,while also providing a self-contained introduction to the theory ofcomputability. With its thorough scope of coverage and accessible style,Mathematical Logic is an ideal book for courses inmathematics, computer science, and philosophy at theupper-undergraduate and graduate levels. It is also a valuablereference for researchers and practitioners who wish to learn howto use logic in their everyday work.

Niemand, den du kennst

Roman

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Author: Michelle Richmond,Astrid Finke

Publisher: N.A

ISBN: 9783453354777

Category:

Page: 399

View: 6264

20 Jahre nach dem Tod ihrer hochbegabten Schwester Lila trifft Ellie in Nicaragua den vermeintlichen Mörder. Doch sie zweifelt an der Schuld des Mannes und beschliesst, der Wahrheit auf den Grund zu gehen.

Logicomix

eine epische Suche nach der Wahrheit

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Author: Ebi Naumann

Publisher: N.A

ISBN: 9783864970047

Category:

Page: 351

View: 2578

Poincarés Vermutung

die Geschichte eines mathematischen Abenteuers

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Author: Donal O'Shea

Publisher: N.A

ISBN: 9783596176632

Category:

Page: 376

View: 6966

1089 oder das Wunder der Zahlen

eine Reise in die Welt der Mathematik

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Author: David J. Acheson

Publisher: N.A

ISBN: 9783866470200

Category:

Page: 189

View: 9751

Das Buch beginnt mit einem alten Zaubertrick - Man nehme eine 3-stellige Zahl, etwa 782, kehre sie um, ziehe die kleinere von der größeren ab und addiere dazu die Umkehrung. Also - 782 - 287 = 495, dann 495 + 594. Und schon ist man mitten in der Wunderwelt der Mathematik, denn das Ergebnis ist immer - 1089. Mit solchen und vielen weiteren Beispielen aus Alltag, Geschichte und Wissenschaft gelingt es David Acheson, die faszinierende Welt der Mathematik zu erschließen - ein geistreicher Überblick, eine für jeden verständliche Einführung.

Satan, Cantor und die Unendlichkeit

und 200 weitere verblüffende Tüfteleien

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Author: Raymond Smullyan

Publisher: Springer-Verlag

ISBN: 3034862318

Category: Juvenile Nonfiction

Page: 232

View: 1018

The Joy of x

Die Schönheit der Mathematik

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Author: Steven Strogatz

Publisher: Kein & Aber AG

ISBN: 3036992693

Category: Mathematics

Page: 352

View: 7056

Mathematik durchdringt den ganzen Kosmos. Das weiß jeder, doch nur die wenigsten verstehen die Zusammenhänge wirklich. Steven Strogatz nimmt uns bei der Hand und spaziert mit uns durch diese Welt der Weisheit, Klarheit und Eleganz. Als Reiseleiter geht er neue, erfrischende Wege, deutet auf Besonderheiten, schildert Hintergründe und erklärt die unsichtbaren Mechanismen. Wir erfahren unter anderem von dem Wunder des Zählens, der genialen Einfachheit der Algebra, dem ewigen Erbe Newtons, dem Tango mit Quadraten, der Zweisamkeit von Primzahlen und der Macht des Unendlichen. Mit all seiner Begeisterung, seinem Scharfblick und seinem leichtem Ton hat Steven Strogatz ein herrliches Buch für alle geschrieben, die ihr Verständnis von Mathematik auf eine neue Art vertiefen möchten.

Is God a Mathematician?

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Author: Mario Livio

Publisher: Simon and Schuster

ISBN: 9781416594437

Category: Mathematics

Page: 320

View: 3626

Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.

Mathematical Mountaintops

The Five Most Famous Problems of All Time

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Author: J. L. Casti

Publisher: Oxford University Press, USA

ISBN: N.A

Category: Mathematics

Page: 177

View: 7484

In Mathematical Mountaintops, John Casti brilliantly recreates the solutions to the five greatest mathematical problems of all time: The Four-Color Map Problem, Fermat's Last Theorem, The Continuum Hypothesis, Kepler's Conjecture, and Hilbert's Tenth Problem. Casti recounts these mathematical quests with great verve. In retelling the story of Hilbert's Tenth Problem, for instance, he sweeps from Britain to New York to Leningrad and introduces us to such luminaries as Alan Turing, before turning to the young Soviet researcher who credited his breakthrough to a 700-year-old Italian problem about rabbits. He describes how Fermat's Last Theorem tantalized generations of scientists, who tried for three centuries to answer it, and relates how the final solution was greeted with the unprecedented front-page headlines, prize money, and international celebration--before a flaw (soon resolved) turned up. Casti's account of the struggle to solve Kepler's Conjecture wittily revealshow the "proof of the obvious" sometimes eludes us for centuries. And his discussion of The Continuum Hypothesis movingly portrays the tragic figure of Georg Cantor, the troubled genius who created the first truly original mathematics since the Greeks, yet died insane in an institution. Casti closes with a preview of the "Magnificent Seven"--the greatest unsolved mathematical mysteries, each of which carries a million-dollar bounty from the Clay Mathematics Institute--including the Poincare Conjecture, the Yang-Mills Existence and Mass Gap (why physicists can't isolate quarks), and the Reimann Hypothesis ("the granddaddy of all mathematical mysteries"). Mathematical Mountaintops is a brilliant account of mathematicians in action--seeking hidden patterns and structures, forging elegant chains of reasoning--as they struggle with problems that challenged the greatest minds for decades, if not centuries.

Mathematisches Denken

Vom Vergnügen am Umgang mit Zahlen

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Author: T.W. Körner

Publisher: Springer-Verlag

ISBN: 3034850018

Category: Science

Page: 719

View: 4326

Dieses Buch wendet sich zuallererst an intelligente Schüler ab 14 Jahren sowie an Studienanfänger, die sich für Mathematik interessieren und etwas mehr als die Anfangsgründe dieser Wissenschaft kennenlernen möchten. Es gibt inzwischen mehrere Bücher, die eine ähnliche Zielstellung verfolgen. Besonders gern erinnere ich mich an das Werk Vom Einmaleins zum Integral von Colerus, das ich in meiner Kindheit las. Es beginnt mit der folgenden entschiedenen Feststellung: Die Mathematik ist eine Mausefalle. Wer einmal in dieser Falle gefangen sitzt, findet selten den Ausgang, der zurück in seinen vormathematischen Seelenzustand leitet. ([49], S. 7) Einige dieser Bücher sind im Anhang zusammengestellt und kommen tiert. Tatsächlich ist das Unternehmen aber so lohnenswert und die Anzahl der schon vorhandenen Bücher doch so begrenzt, daß ich mich nicht scheue, ihnen ein weiteres hinzuzufügen. An zahlreichen amerikanischen Universitäten gibt es Vorlesungen, die gemeinhin oder auch offiziell als ,,Mathematik für Schöngeister'' firmieren. Dieser Kategorie ist das vorliegende Buch nicht zuzuordnen. Statt dessen soll es sich um eine ,,Mathematik für Mathematiker'' handeln, für Mathema tiker freilich, die noch sehr wenig von der Mathematik verstehen. Weshalb aber sollte nicht der eine oder andere von ihnen eines Tages den Autor dieses 1 Buches durch seine Vorlesungen in Staunen versetzen? Ich hoffe, daß auch meine Mathematikerkollegen Freude an dem Werk haben werden, und ich würde mir wünschen, daß auch andere Leser, bei denen die Wertschätzung für die Mathematik stärker als die Furcht vor ihr ist, Gefallen an ihm finden mögen.

Both Flesh And Not

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Author: David Foster Wallace

Publisher: Penguin UK

ISBN: 0141943157

Category: Literary Collections

Page: 336

View: 1997

Both Flesh and Not is an collection of essays and writing from the virtuosic genius David Foster Wallace Beloved for his brilliantly discerning eye, his verbal elasticity and his uniquely generous imagination, David Foster Wallace was heralded by critics and fans as the voice of a generation. Collected here are fifteen essays published for the first time in book form, including writing never published before in the UK. From 'Federer Both Flesh and Not', considered by many to be his non-fiction masterpiece; to 'The (As it Were) Seminal Importance of Terminator 2,' which deftly dissects James Cameron's blockbuster; to 'Fictional Futures and the Conspicuously Young', an examination of television's effect on a new generation of writers, the writing collected here swoops from erudite literary discussion to open-hearted engagement with the most familiar of our twentieth-century cultural references. A celebration of Wallace's great loves - for language, for precision, for meaning - and a feast of enjoyment for his fans, Both Flesh and Not is a fitting tribute to this writer who was never concerned with anything less important than what it means to be alive. Praise for David Foster Wallace: 'A visionary, a craftsman, a comedian . . . he's in a different time-space continuum from the rest of us' Zadie Smith 'Wallace's essays brim with cerebral energy, acute observation and fizzing wit. Enviably good' Sunday Times 'Wallace's exuberance and intellectual impishness are a delight . . . a superb comedian of culture' Guardian, James Wood David Foster Wallace wrote the novels Infinite Jest and The Broom of the System, and the short-story collections Oblivion, Brief Interviews with Hideous Men and Girl with Curious Hair. His non-fiction includes Consider the Lobster, A Supposedly Fun Thing I'll Never Do Again, Everything and More, This is Water and Both Flesh and Not. He died in 2008.

The Appearances of Medieval Rituals

The Play of Construction and Modification

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Author: Nils Holger Petersen

Publisher: Brepols Pub

ISBN: N.A

Category: History

Page: 219

View: 8680

Appearances can be deceptive; and medieval ritual practices are in this respect no exception. They perform stability through the codification of repetitive modes of behaviour and simultaneously admit flexibility in their integration of newer forms of representation. They mask the historical contingencies of their own creation and construct alternative narratives of authority and continuity. They do not simply appear; their appearance reflects the mutual interplay of construction and modification. This collection of eleven essays - which chronologically spans the period from the Carolingians to the Catholic Reform movement of the later sixteenth century - explores this double-edged potential in the appearance of medieval ritual practices; and, in this case, chiefly church rituals. It comprises a series of individual studies by scholars of literature, theology, music, and the visual arts. Each study examines a particular moment of change or transformation in ritual practices, illuminating, thereby, processes of ritualization. In this way, the book both provides an impulse to the recent renewal of methodological interest in ritual studies and presents individual contributions to specific scholarly discourses within this broad area.