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Roads to Infinity:
The Mathematics of Truth and
Proof |
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PRODUCT
DETAILS:
Author: John C.
Stillwell
Language: English
Publisher: A K Peters/CRC Press
Publication
Date: 13 July
2010
Dimensions: 15.2 x 2
x 22.9 cm
Format: Hardcover
Pages: 250
Condition: NEW
Product_ID: 156DD14666
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Winner of a CHOICE Outstanding Academic Title Award
for 2011! This book offers an introduction to modern
ideas about infinity and their implications for
mathematics. It unifies ideas from set theory and
mathematical logic, and traces their effects on
mainstream mathematical topics of today, such as number
theory and combinatorics. The treatment is historical
and partly informal, but with due attention to the
subtleties of the subject. Ideas are shown to evolve
from natural mathematical questions about the nature of
infinity and the nature of proof, set against a
background of broader questions and developments in
mathematics. A particular aim of the book is to
acknowledge some important but neglected figures in the
history of infinity, such as Post and Gentzen, alongside
the recognized giants Cantor and Godel. |
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