The Resource Visions of infinity : the great mathematical problems, Ian Stewart
Visions of infinity : the great mathematical problems, Ian Stewart
Resource Information
The item Visions of infinity : the great mathematical problems, Ian Stewart represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Visions of infinity : the great mathematical problems, Ian Stewart represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
 Summary

 It is one of the wonders of mathematics that, for every problem mathematicians solve, another awaits to perplex and galvanize them. Some of these problems are new, while others have puzzled and bewitched thinkers across the ages. Such challenges offer a tantalizing glimpse of the field's unlimited potential, and keep mathematicians looking toward the horizons of intellectual possibility. In this book the author, a mathematician, provides an overview of the most formidable problems mathematicians have vanquished, and those that vex them still. He explains why these problems exist, what drives mathematicians to solve them, and why their efforts matter in the context of science as a whole. The threecentury effort to prove Fermat's last theorem, first posited in 1630, and finally solved by Andrew Wiles in 1995, led to the creation of algebraic number theory and complex analysis. The Poincare conjecture, which was cracked in 2002 by the eccentric genius Grigori Perelman, has become fundamental to mathematicians' understanding of threedimensional shapes. But while mathematicians have made enormous advances in recent years, some problems continue to baffle us. Indeed, the Riemann hypothesis, which the author refers to as the "Holy Grail of pure mathematics," and the P/NP problem, which straddles mathematics and computer science, could easily remain unproved for another hundred years. An approachable and illuminating history of mathematics as told through fourteen of its greatest problems, this book reveals how mathematicians the world over are rising to the challenges set by their predecessors, and how the enigmas of the past inevitably surrender to the powerful techniques of the present.  From publisher's website
 A history of mathematics as told through foureen of its greatest problems explains why mathematical problems exist, what drives mathematicians to solve them, and why their efforts matter in the context of science as a whole
 Language
 eng
 Extent
 x, 340 p.
 Contents

 Great problems
 Prime territory : Goldbach conjecture
 The puzzle of pi : squaring the circle
 Mapmaking mysteries : four colour theorem
 Sphereful symmetry : Kepler conjecture
 New solutions for old : Mordell conjecture
 Inadequate margins : Fermat's last theorem
 Orbital chaos : threebody problem
 Patterns in primes : Riemann hypothesis
 What shape is a sphere? : Poincaré conjecture
 They can't all be easy : P/NP problem
 Fluid thinking : NavierStokes equation
 Quantum conundrum : mass gap hypothesis
 Diophantine dreams : BirchSwinnertonDyer conjecture
 Complex cycles : Hodge conjecture
 Where next?
 Twelve for the future
 Isbn
 9780465022403
 Label
 Visions of infinity : the great mathematical problems
 Title
 Visions of infinity
 Title remainder
 the great mathematical problems
 Statement of responsibility
 Ian Stewart
 Language
 eng
 Summary

 It is one of the wonders of mathematics that, for every problem mathematicians solve, another awaits to perplex and galvanize them. Some of these problems are new, while others have puzzled and bewitched thinkers across the ages. Such challenges offer a tantalizing glimpse of the field's unlimited potential, and keep mathematicians looking toward the horizons of intellectual possibility. In this book the author, a mathematician, provides an overview of the most formidable problems mathematicians have vanquished, and those that vex them still. He explains why these problems exist, what drives mathematicians to solve them, and why their efforts matter in the context of science as a whole. The threecentury effort to prove Fermat's last theorem, first posited in 1630, and finally solved by Andrew Wiles in 1995, led to the creation of algebraic number theory and complex analysis. The Poincare conjecture, which was cracked in 2002 by the eccentric genius Grigori Perelman, has become fundamental to mathematicians' understanding of threedimensional shapes. But while mathematicians have made enormous advances in recent years, some problems continue to baffle us. Indeed, the Riemann hypothesis, which the author refers to as the "Holy Grail of pure mathematics," and the P/NP problem, which straddles mathematics and computer science, could easily remain unproved for another hundred years. An approachable and illuminating history of mathematics as told through fourteen of its greatest problems, this book reveals how mathematicians the world over are rising to the challenges set by their predecessors, and how the enigmas of the past inevitably surrender to the powerful techniques of the present.  From publisher's website
 A history of mathematics as told through foureen of its greatest problems explains why mathematical problems exist, what drives mathematicians to solve them, and why their efforts matter in the context of science as a whole
 Cataloging source
 BTCTA
 http://library.link/vocab/creatorDate
 1945
 http://library.link/vocab/creatorName
 Stewart, Ian
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA93
 LC item number
 .S745 2013
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/subjectName

 Mathematics
 Number theory
 Mathematisches Problem
 Mathematik
 Zahlentheorie
 Mathematics
 Number theory
 Label
 Visions of infinity : the great mathematical problems, Ian Stewart
 Bibliography note
 Includes bibliographical references (p. [305]324) and index
 Contents
 Great problems  Prime territory : Goldbach conjecture  The puzzle of pi : squaring the circle  Mapmaking mysteries : four colour theorem  Sphereful symmetry : Kepler conjecture  New solutions for old : Mordell conjecture  Inadequate margins : Fermat's last theorem  Orbital chaos : threebody problem  Patterns in primes : Riemann hypothesis  What shape is a sphere? : Poincaré conjecture  They can't all be easy : P/NP problem  Fluid thinking : NavierStokes equation  Quantum conundrum : mass gap hypothesis  Diophantine dreams : BirchSwinnertonDyer conjecture  Complex cycles : Hodge conjecture  Where next?  Twelve for the future
 Control code
 808413612
 Dimensions
 25 cm
 Extent
 x, 340 p.
 Isbn
 9780465022403
 Lccn
 2012924095
 Other physical details
 ill.
 System control number
 (OCoLC)808413612
 Label
 Visions of infinity : the great mathematical problems, Ian Stewart
 Bibliography note
 Includes bibliographical references (p. [305]324) and index
 Contents
 Great problems  Prime territory : Goldbach conjecture  The puzzle of pi : squaring the circle  Mapmaking mysteries : four colour theorem  Sphereful symmetry : Kepler conjecture  New solutions for old : Mordell conjecture  Inadequate margins : Fermat's last theorem  Orbital chaos : threebody problem  Patterns in primes : Riemann hypothesis  What shape is a sphere? : Poincaré conjecture  They can't all be easy : P/NP problem  Fluid thinking : NavierStokes equation  Quantum conundrum : mass gap hypothesis  Diophantine dreams : BirchSwinnertonDyer conjecture  Complex cycles : Hodge conjecture  Where next?  Twelve for the future
 Control code
 808413612
 Dimensions
 25 cm
 Extent
 x, 340 p.
 Isbn
 9780465022403
 Lccn
 2012924095
 Other physical details
 ill.
 System control number
 (OCoLC)808413612
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