Description: 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 Godel 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. Godel'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 Godel'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: Godel's Incompleteness Theorems has something for anyone interested in mathematics, from advanced high school students to college math majors and educators.
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EAN: 9781939326294
UPC: 9781939326294
ISBN: 9781939326294
MPN: N/A
Item Length: 21.6 cm
Publication Name: N/A
Type: N/A
Book Title: Math Girls 3: Godel's Incompleteness Theorems
Item Height: 216mm
Item Width: 140mm
Author: Hiroshi Yuki
Format: Hardcover
Language: English
Publisher: Bento Books, Inc.
Publication Year: 2016
Genre: Children & Young Adults
Item Weight: 644g
Number of Pages: 394 Pages