A01=Piergiorgio Odifreddi
Abraham Robinson
Alan Baker (mathematician)
Alexander Grothendieck
Author_Piergiorgio Odifreddi
Bernhard Riemann
Calculation
Category=PBX
Category=PDZM
Chaos theory
Complex number
Conjecture
Constructible number
Continuum hypothesis
Dimension
Diophantine equation
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Equation
Euclidean space
Faltings's theorem
Fermat's Last Theorem
Fermat's theorem
Fields Medal
Floor and ceiling functions
Geometry
Godel's incompleteness theorems
Hilbert space
Hilbert's fourth problem
Hilbert's third problem
Hyperbolic geometry
Hypersphere
Integer
Integral equation
Kenneth Appel
Klein bottle
Lambda calculus
Lebesgue measure
Leech lattice
Lie group
Mathematical analysis
Mathematical formulation of quantum mechanics
Mathematician
Mathematics
Mertens conjecture
Method of exhaustion
Naive set theory
Natural number
Nonlinear system
Number theory
Open problem
Perfect number
Pierre Wantzel
Polynomial
Prime number
Probability
Pure mathematics
Quantum mechanics
Rational number
Real number
Result
Riemann hypothesis
Russell's paradox
Set theory
Simple group
Simplex algorithm
Special case
Summation
Theorem
Theory
Time complexity
Turing machine
Variable (mathematics)
Vladimir Arnold
Wiles's proof of Fermat's Last Theorem
Zermelo-Fraenkel set theory
Product details
- ISBN 9780691128054
- Weight: 255g
- Dimensions: 140 x 216mm
- Publication Date: 22 Oct 2006
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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The twentieth century was a time of unprecedented development in mathematics, as well as in all sciences: more theorems were proved and results found in a hundred years than in all of previous history. In The Mathematical Century, Piergiorgio Odifreddi distills this unwieldy mass of knowledge into a fascinating and authoritative overview of the subject. He concentrates on thirty highlights of pure and applied mathematics. Each tells the story of an exciting problem, from its historical origins to its modern solution, in lively prose free of technical details. Odifreddi opens by discussing the four main philosophical foundations of mathematics of the nineteenth century and ends by describing the four most important open mathematical problems of the twenty-first century. In presenting the thirty problems at the heart of the book he devotes equal attention to pure and applied mathematics, with applications ranging from physics and computer science to biology and economics.
Special attention is dedicated to the famous "23 problems" outlined by David Hilbert in his address to the International Congress of Mathematicians in 1900 as a research program for the new century, and to the work of the winners of the Fields Medal, the equivalent of a Nobel prize in mathematics. This eminently readable book will be treasured not only by students and their teachers but also by all those who seek to make sense of the elusive macrocosm of twentieth-century mathematics.
Piergiorgio Odifreddi is Professor of Mathematical Logic at the University of Turin and has been a visiting professor at Cornell University for many years. He is the author of the textbook "Classical Recursion Theory". He is also a regular contributor to the Italian daily "La Repubblica". Freeman Dyson, Professor Emeritus of Physics at the Institute for Advanced Study, is the author of several books, including "Disturbing the Universe".
