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Raisonnements Divins

The (mathematical) heroes of this book are "perfect proofs": brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from Number Theory, Geometry, Analysis, Combinatorics, and Graph Theory. Thirty beautiful examples are presented here. They are candidates for The Book in which God records the perfect proofs - according to the late Paul Erds, who himself suggested many of the topics in this collection. The result is a book which will be fun for everybody with an interest in mathematics, requiring only a very modest (undergraduate) mathematical background.

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  • "Book"
  • "Bíblia seria a obra na qual Deus guardaria as provas perfeitas dos teoremas... Paul Erdös costumava dizer que você, como matemático, podia até nem acreditar em Deus, mas devia acreditar n'O Livro"@pt
  • "Proofs from The Book"@ja

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  • "This revised and enlarged fourth edition features five new chapters, which treat classical results such as the "Fundamental Theorem of Algebra", problems about tilings, but also quite recent proofs, for example of the Kneser conjecture in graph theory. The new edition also presents further improvements and surprises, among them a new proof for "Hilbert's Third Problem"."
  • "Cet ouvrage regroupe quelques démonstrations mathématiques choisies pour leur élégance. Il expose des idées brillantes, des rapprochements inattendus et des observations remarquables qui apportent un éclairage nouveau sur des problèmes fondamentaux. Selon le mathématicien Paul Erdös, qui a lui-même suggéré plusieurs des thèmes présentés, les preuves développées ici mériteraient d'être retenues pour figurer dans le Livre où Dieu aurait répertorié les démonstrations parfaites. Le livre aborde différents domaines (théorie des nombres, géométrie, analyse, combinatoire et théorie des graphes). Il évoque aussi bien des résultats établis depuis longtemps que des théorèmes récemment démontrés. Dans tous les cas, leur compréhension ne fait appel qu'à des connaissances mathématiques de niveau premier cycle. Cette troisième édition française propose une traduction de la quatrième édition anglaise revue et augmentée. Elle comporte cinq nouveaux chapitres, de nombreuses améliorations et corrections. L'ouvrage séduira tous ceux qui s'intéressent aux mathématiques."
  • "Cette troisième édition française propose une traduction de la quatrième édition anglaise revue et augmentée. Elle comporte cinq nouveaux chapitres, de nombreuses améliorations et corrections. Elle regroupe quelques démonstrations mathématiques choisies pour leur élégance et expose des idées brillantes, des rapprochements inattendus et des observations remarquables qui apportent un éclairage nouveau sur des problèmes fondamentaux. Selon le mathématicien Paul Erdös, qui a lui-même suggéré plusieurs des thèmes présentés, les preuves développées ici mériteraient d'être retenues pour figurer dans le Livre où Dieu aurait répertorié les démonstrations parfaites. Différents domaines sont abordés (théorie des nombres, géométrie, analyse, combinatoire et théorie des graphes) et le propos évoque aussi bien des résultats établis depuis longtemps que des théorèmes récemment démontrés. Dans tous les cas, leur compréhension ne fait appel qu'à des connaissances mathématiques de niveau premier cycle. Cet ouvrage séduira tous ceux qui s'intéressent aux mathématiques."
  • "Aus den Rezensionen der bisherigen Ausgaben: "Ein prächtiges, äußerst sorgfältig und liebevoll gestaltetes Buch! Erdös hatte die Idee DES BUCHES, in dem Gott die perfekten Beweise mathematischer Sätze eingeschrieben hat. Das hier gedruckte Buch will eine "very modest approximation" an dieses BUCH sein.... Das Buch von Aigner und Ziegler ist gelungen ..." Mathematische Semesterberichte, 1999 "... Martin Aigner ... und Günter Ziegler referieren sympathisch einige dieser gottgefälligen Geistesblitze. ... Der Beweis selbst, seine Ästhetik, seine Pointe geht ins Geschichtsbuch der Königin der Wissenschaften ein. Ihre Anmut offenbart sich in dem gelungenen und geschickt illustrierten Buch über das BUCH. Um sie genießen zu können, lohnt es sich, das bißchen Mathe nachzuholen, das wir vergessen haben oder das uns von der Schule vorenthalten wurde." Die Zeit, 13.August 1998 Unermüdlich reiste Paul Erdös durch die Welt und stellte neue Theoreme auf. Jetzt haben zwei seiner Kollegen sein schönstes Werk vollendet: Das BUCH der Beweise - ein Feuerwerk mathematischer Geistesblitze. .......... Die Weltwoche 16/02 "... Nachdem die erstmals 1998 auf Englisch erschienene Ausgabe schon eine zweite Auflage erlebt hat, entschloss sich nun der Springer-Verlag, das BUCH auch auf Deutsch herauszugeben. Wie es sich für ein Werk über elegante Beweise gehört, ist es sehr schön aufbereitet, reich bebildert und sorgfältig editiert. ..." Neue Züricher Zeitung, 13.4.2003 ...Hier ist es also, das BUCH der Beweise in der wunderbaren Version von Martin Aigner und Günter Ziegler ....Wer (wie ich) bislang vergeblich versucht hat, einen Blick ins BUCH zu werfen, wird begierig in Aigners und Zieglers BUCH der Beweise schmökern. ... www.mathematik.de Diese zweite deutsche Auflage enthält zwei neue Kapitel, über Partitions-Identitäten und über das Kartenmischen. Zusätzlich gibt es eine große Anzahl von Erweiterungen und Verbesserungen, etwa eine neue, überraschend-elegante Methode zum Aufzählen der positiven Brüche."
  • "Proofs from THE BOOK C( un'opera straordinaria che ha saputo calamitare l'interesse di numerosissimi lettori, matematici e non, come poche altre di argomento matematico apparse in questi ultimi anni. Dall'edizione originale in lingua inglese, pubblicata nel 1998, sono poi state prodotte due altre edizioni in inglese e un numero in continua crescita di traduzioni in altre lingue (undici alla data in cui diamo alle stampe questa edizione). Proofs from THE BOOK rappresenta un'opera unica nel suo genere. La matematica C( una disciplina costruita su teorie codificate in lemmi e teoremi le cui dimos."
  • "The (mathematical) heroes of this book are "perfect proofs": brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from Number Theory, Geometry, Analysis, Combinatorics, and Graph Theory. Thirty beautiful examples are presented here. They are candidates for The Book in which God records the perfect proofs - according to the late Paul Erdös, who himself suggested many of the topics in this collection. The result is a book which will be fun for everybody with an interest in mathematics, requiring only a very modest (undergraduate) mathematical background. For this revised and expanded second edition several chapters have been revised and expanded, and three new chapters have been added."
  • "Aus den Rezensionen der englischen Ausgabe: "Ein prächtiges, äußerst sorgfältig und liebevoll gestaltetes Buch! Erdös hatte die Idee DES BUCHES, in dem Gott die perfekten Beweise mathematischer Sätze eingeschrieben hat. Das hier gedruckte Buch will eine "very modest approximation" an dieses BUCH sein.... Das Buch von Aigner und Ziegler ist gelungen ..." Mathematische Semesterberichte, 1999 "... Martin Aigner...und Günter Ziegler referieren sympathisch einige dieser gottgefälligen Geistesblitze.... Der Beweis selbst, seine Ästhetik, seine Pointe geht ins Geschichtsbuch der Königin der Wissenschaften ein. Ihre Anmut offenbart sich in dem gelungenen und geschickt illustrierten Buch über das BUCH. Um sie genießen zu können, lohnt es sich, das bißchen Mathe nachzuholen, das wir vergessen haben oder das uns von der Schule vorenthalten wurde." Die Zeit, 13.August 1998"
  • "Regroupe quelques démonstrations mathématiques choisies pour leur élégance. Différents domaines sont abordés : théorie des nombres, géométrie, analyse combinatoire et théorie des graphes. Propose aussi bien des résultats établis depuis longtemps que des théorèmes récemment démontrés."
  • "From the Reviews " ... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ... Aigner and Ziegler ... write: " ... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ..." Notices of the AMS, August 1999 " ... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures, and beautiful drawings ... It is a pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary background is given separately, and the proofs are brilliant. Moreover, the exposition makes them transparent. ..." LMS Newsletter, January 1999 This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such an exciting new way to "enumerate the rationals.""
  • "The (mathematical) heroes of this book are "perfect proofs": brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from Number Theory, Geometry, Analysis, Combinatorics, and Graph Theory. Thirty beautiful examples are presented here. They are candidates for The Book in which God records the perfect proofs - according to the late Paul Erds, who himself suggested many of the topics in this collection. The result is a book which will be fun for everybody with an interest in mathematics, requiring only a very modest (undergraduate) mathematical background."@en
  • "Presents a glimpse of mathematical heaven, where clever insights and beautiful ideas combine. This book offers some of the proofs that are classics and other proofs of classical results."
  • "From the Reviews: ... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations. I do. ... Notices of the AMS, August 1999 ... the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ... LMS Newsletter, January 1999 This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to enumerate the rationals."
  • "This revised and enlarged fourth edition of "Proofs from THE BOOK" features five new chapters, which treat classical results such as the "Fundamental Theorem of Algebra", problems about tilings, but also quite recent proofs, for example of the Kneser conjecturein graph theory. The new edition also presents further improvements and surprises, among thema new proof for "Hilbert's Third Problem". From the Reviews "... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: "... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999 "... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures, and beautiful drawings ... It is a pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary background is given separately, and the proofs are brilliant. Moreover, the exposition makes them transparent. ..." LMS Newsletter, January 1999."@en
  • "Proofs from THE BOOK è un'opera straordinaria che ha saputo calamitare l'interesse di numerosissimi lettori, matematici e non, come poche altre di argomento matematico apparse in questi ultimi anni. Dall'edizione originale in lingua inglese, pubblicata nel 1998, sono poi state prodotte due altre edizioni in inglese e un numero in continua crescita di traduzioni in altre lingue (undici alla data in cui diamo alle stampe questa edizione). Proofs from THE BOOK rappresenta un'opera unica nel suo genere. La matematica è una disciplina costruita su teorie codificate in lemmi e teoremi le cui dimostrazioni sono sempre rigorose, spesso avvincenti e creative, talvolta bellissime. E' proprio la tensione dei matematici di ogni epoca, che li spinge a cercare dimostrazioni belle, ad aver ispirato gli autori, i quali, insieme con il grande matematico ungherese Paul Erdos, immaginano che vi sia UN LIBRO (forse addirittura di ispirazione divina) che contenga le dimostrazioni più significative ed avvincenti della matematica, quelle che rasentano la perfezione. E questa monografia vuole proporre alcuni esempi di dimostrazioni che, presumibilmente, dovrebbero trovare posto nel LIBRO, cioè in THE BOOK."
  • "Proofs from THE BOOK C(un'opera straordinaria che ha saputo calamitare l'interesse di numerosissimi lettori, matematici e non, come poche altre di argomento matematico apparse in questi ultimi anni. Dall'edizione originale in lingua inglese, pubblicata nel 1998, sono poi state prodotte due altre edizioni in inglese e un numero in continua crescita di traduzioni in altre lingue (undici alla data in cui diamo alle stampe questa edizione). Proofs from THE BOOK rappresenta un'opera unica nel suo genere. La matematica C(una disciplina costruita su teorie codificate in lemmi e teoremi le cui dimos."
  • "This revised and enlarged fifth editionfeatures four new chapters, which contain highly original and delightful proofs for classics such as the spectral theorem from linear algebra, some more recent jewels like the non-existence of the Borromean rings and other surprises. From the Reviews "... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. ... Aigner and Ziegler... write: "... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999 "... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures, and beautiful drawings ... It is a pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary background is given separately, and the proofs are brilliant. ..." LMS Newsletter, January 1999 "Martin Aigner and Günter Ziegler succeeded admirably in putting together a broad collection of theorems and their proofs that would undoubtedly be in the Book of Erdös. The theorems are so fundamental, their proofs so elegant, and the remaining open questions so intriguing that every mathematician, regardless of speciality, can benefit from reading this book. ... " SIGACT News, December 2011"@en

editor

genre

http://schema.org/genre

  • "Beispielsammlung"
  • "Beispielsammlung"@en
  • "Llibres electrònics"
  • "Electronic books"@en
  • "Electronic books"
  • "Libros electrónicos"
  • "Online-Publikation"
  • "Elektronisches Buch"
  • "Leermiddelen (vorm)"

illustrator

name

http://schema.org/name

  • "Raisonnements divins : quelques démonstrations mathématiques particulièrement élègantes"
  • "Tensho no shōmei"
  • "Tensho no shōmei"@ja
  • "Das Buch der Beweise"
  • "El Libro de las demostraciones"
  • "Proofs from The book"
  • "Raisonnements divins : quelques démonstrations mathématiques particulièrement élégantes"
  • "Proofs from The BOOK"
  • "Raisonnements divins : [quelques démonstrations mathématiques particulièrement élégantes]"
  • "Raisonnements Divins"@en
  • "Das BUCH der Beweise"@en
  • "Das BUCH der Beweise"
  • "Proofs from THE BOOK : [dedicated to the memory of Paul Erdos]"
  • "Proofs from The Book"
  • "Proofs from the Book Edizione Italiana a Cura DI Alfio Quarteroni"
  • "Raisonnements divind"
  • "Das buch der beweise"
  • "Dowody z Księgi"@pl
  • "Raisonnements divins Quelques démonstrations mathématiques particulièrement élégantes"
  • "Proofs from THE BOOK"@en
  • "Proofs from THE BOOK"
  • "Proofs from the Book"@it
  • "Proofs from the Book"@en
  • "Proofs from the Book"
  • "El libro de las demostraciones"@es
  • "Raisonnements divins"
  • "Proofs from the book"@en
  • "Proofs from the book"
  • "As provas estão n'O livro"@pt
  • "Raisonnements divins quelques démonstrations mathématiques particulièrement élégantes"
  • "Raisonnements divins quelques démonstrations mathématiques particulièrement élégantes"@en
  • "Raisonnements divins : Quelques démonstrations mathématiques particuliérement élégantes"
  • "Raisonnements divins : [quelques démostrations mathématiques particulièrement élégantes]"
  • "Raisonnements divins : Quelques démonstrations mathématiques particulièrement élégantes"
  • "天書の証明"
  • "Raisonnements divins : Martin Aigner, Günter M. Ziegler ; Traduit de l'anglais par Nicolas Puech et Jean-Marie Morvan"
  • "Tensho no shomei"

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