Math Girls 3: Godel's Incompleteness Theorems - Couverture rigide

Livre 3 sur 6: Math Girls

Yuki, Hiroshi

 
9781939326294: Math Girls 3: Godel's Incompleteness Theorems
Couverture rigide
ISBN 10 : 193932629X ISBN 13 : 9781939326294
Editeur : Bento Books, Inc., 2016

Synopsis

In the early twentieth century, a massive undertaking to rid mathematics of all paradoxes and inconsistencies was underway. Known as Hilbert's program, it sought to provide an unshakable foundation for all of mathematics. Things seemed to be proceeding well until young Kurt Gödel stunned the world by proving that Hilbert's goals were unobtainable, that contradiction was part of the warp and weave of any mathematical system. Yet what at the time seemed to be a fatal blow to mathematical consistency now forms the basis of modern logic. Gödel's incompleteness theorems are often misunderstood to be a statement of the limits of mathematical reasoning, but in truth they strengthen mathematics, building it up to be more powerful than what had come before. In this third book in the Math Girls series, join Miruka and friends as they tackle the basics of modern logic, learning such topics as the Peano axioms, set theory, and diagonalization, leading up to an in-depth exploration of Gödel's famous theorems. Along the way, visit other interesting and important topics such as trigonometry and the epsilon-delta definition of limits, and of course take on challenges from the enigmatic Mr. Muraki. Math Girls 3: Gödel's Incompleteness Theorems has something for anyone interested in mathematics, from advanced high school students to college math majors and educators.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

In the early twentieth century, a massive undertaking to rid mathematics of all paradoxes and inconsistencies was underway. Known as Hilbert's program, it sought to provide an unshakable foundation for all of mathematics. Things seemed to be proceeding well until young Kurt Gödel stunned the world by proving that Hilbert's goals were unobtainable, that contradiction was part of the warp and weave of any mathematical system. Yet what at the time seemed to be a fatal blow to mathematical consistency now forms the basis of modern logic. Gödel's incompleteness theorems are often misunderstood to be a statement of the limits of mathematical reasoning, but in truth they strengthen mathematics, building it up to be more powerful than what had come before. In this third book in the Math Girls series, join Miruka and friends as they tackle the basics of modern logic, learning such topics as the Peano axioms, set theory, and diagonalization, leading up to an in-depth exploration of Gödel's famous theorems. Along the way, visit other interesting and important topics such as trigonometry and the epsilon-delta definition of limits, and of course take on challenges from the enigmatic Mr. Muraki. Math Girls 3: Gödel's Incompleteness Theorems has something for anyone interested in mathematics, from advanced high school students to college math majors and educators.

Biographie de l'auteur

Best-selling author Hiroshi Yuki has written over thirty books on mathematics, programming, and cryptography in Japan. He lives in Tokyo.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Bento Books, Inc.
Date d'édition
2016
Langue
anglais
ISBN 10 
193932629X
ISBN 13 
9781939326294
Reliure
Relié
Nombre de pages
394
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9781939326287: Math Girls 3: Godel's Incompleteness Theorems

Edition présentée

ISBN 10 :  1939326281 ISBN 13 :  9781939326287
Editeur : Bento Books, Incorporated, 2016
Couverture souple