Document (#33706)

Author

Delahaye, J.-P.

Title

PI: Die Story

Issue

Aus dem Französischen von Manfred Stern.

Imprint

Basel : Birkhäuser

Year

1999

Pages

272 S

Isbn

3-7643-6056-9

Abstract

Der berühmte Physiker Richard P. Feynman sagte einmal: "In einem Glas Wein steckt das ganze Universum". Die ganze Mathematik steckt dagegen, so könnte man nach der Lektüre von Pi, die Story von Jean-Paul Delahaye meinen, in der Zahl Pi. Tatsache: Was den Physikern ihr Doppelspaltexperiment, ist dem Mathematiker die Kreiszahl -- eigentlich sollte sie nur das Verhältnis zwischen Umfang und Durchmesser eines Kreises definieren, aber im Laufe der Jahrhunderte entpuppte sie sich als Störenfried, der Rechengelehrten das Leben gehörig zur Hölle machte. Wie kann eine einfache Zahl Generationen von Mathematikern zur Verzweiflung treiben? Wieso verbrachten Gelehrte Jahrzehnte damit, wenige Nachkommastellen dieser Zahl auszurechnen -- wie zum Beispiel der Mathematiker Rutherford, der sich dummerweise ab der 152. Stelle verrechnete und daher genausogut fünf Jahre seines Lebens auf den Bahamas hätte Urlaub machen können? Wieso verbringen erwachsene Menschen ihre Zeit damit, in engen, mit Computern vollgestopften Zimmern zu hausen, die nicht beheizt, aber trotzdem warm sind von der Abwärme von Computerprozessoren, die auf der Suche nach Regelmäßigkeiten in der Zahl Pi sind? Genau das ist Delahayes Thema, und genau das hebt sein Werk aus der Masse vieler populärwissenschaftlicher Bücher zu ähnlichen Themen heraus: Der Autor macht nicht nur Forschung begreifbar, sondern steckt regelrecht an mit seiner Begeisterung für Pi. Wußten Sie, daß die Zahl Pi in den bisher gefundenen Nachkommastellen dieser Zahl -- statistisch verschlüsselt -- ihrerseits verborgen ist? Daß Pi in der Bibel vorkommt (allerdings mit einem lausigen Näherungswert)? Daß es eine Formel gibt, die Nachkommastellen liefert, die bis zur 42 Milliardsten Nachkommastelle mit denen von Pi identisch sind, danach aber nicht mehr -- und niemand weiß warum? Dies und noch viel, viel mehr Staunenswertes breitet Delahaye vor seinen Lesern aus, er stellt Mathematiker vor, die sich über Pi und ähnliche Zahlenmonster den Kopf zerbrochen haben: Leibnitz, Euler, Ramanujan -- dieses früh verstorbene Genie, das "mal eben" Formeln auf Notizblätter werfen konnte, die Mathematikern bis heute die Tränen in die Augen schießen lassen. Delahaye zeigt die brillianten Ideen, mit denen er und seine Kollegen heute ihren Problemen zu Leibe rücken, erklärt elegante Beweise, durchdachte Computeralgorithmen und faszinierende Skurrilitäten, wie zum Beispiel eine Zahl, die man zwar definieren, aber niemals berechnen kann. Wer sich auf dieses Buch einläßt, braucht als Nichtmathematiker schon etwas Mut -- denn Delahaye fordert seinen Lesern einiges ab: Unendliche Reihen, Zahlentheorie, wirklich knackige Algebra. Und manchmal geht der Computerexperte mit ihm durch -- möglich, daß nicht alle seine Kollegen alles unterschreiben würden, was er z.B. in Sachen rechnergestützte Mathematik von sich gibt. Aber viele der Schätze in diesem Buch kann man auch heben, ohne sich ein mathematisches Handbuch an die Seite legen zu müssen: Hier ist eben der gesunde Menschenverstand endlich wieder gefragt. "Pi ist ein Spielverderber", "Pi ist überall", "Pi ist eine Falle". Dieses Buch auch -- und eine Herausforderung.

Content

Einheitssacht.: Le fascinant nombre p [Pi]

Footnote

Rez. in: Spektrum der Wissenschaft 2000, H.6, S.104-104 (K. Volkert)

Field

Mathematik

RSWK

Pi <Zahl>
Pi <Zahl> / Geschichte (BVB)

BK

31.14 / Zahlentheorie
31.01 / Geschichte der Mathematik

ASB

T

SFB

MA 670

GHBS

TFD (DU)
TIW (PB)
TAQ (W)
TFC (W)

RVK

SG 590 Mathematik / Biographien, Geschichte und Philosophie der Mathematik / Geschichte der Mathematik / Geschichte einzelner Probleme

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4. Dueck, G.: Wild duck : Empirische Philosophie der Mensch-Computer-Vernetzung (2004) 0.23

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5. Haken, H.; Haken-Krell, M.: Erfolgsgeheimnisse der Wahrnehmung : Synergetik als Schlüssel zum Gehirn (1992) 0.23

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