Math Girls 3: Godel's Incompleteness Theorems

Yuki, Hiroshi

ISBN 10: 1939326281 / ISBN 13: 9781939326287

Verlag: Bento Books, Incorporated (edition ), 2016

It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting. Bestandsnummer des Verkäufers 1939326281-8-1

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor: Best-selling author Hiroshi Yuki has written over thirty books on mathematics, programming, and cryptography in Japan. He lives in Tokyo.

Bibliografische Details

Titel: Math Girls 3: Godel's Incompleteness Theorems
Verlag: Bento Books, Incorporated (edition )
Erscheinungsdatum: 2016
Einband: Paperback
Zustand: Very Good