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The Resource Tales of impossibility : the 2000-year quest to solve the mathematical problems of antiquity, David S. Richeson

Tales of impossibility : the 2000-year quest to solve the mathematical problems of antiquity, David S. Richeson

Label
Tales of impossibility : the 2000-year quest to solve the mathematical problems of antiquity
Title
Tales of impossibility
Title remainder
the 2000-year quest to solve the mathematical problems of antiquity
Statement of responsibility
David S. Richeson
Creator
Author
Subject
Language
eng
Summary
A comprehensive look at four of the most famous problems in mathematics. Recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems--squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle--have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs--demonstrating the impossibility of solving them using only a compass and straightedge--depended on and resulted in the growth of mathematics. Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Viète, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems. Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries
Cataloging source
YDX
http://library.link/vocab/creatorName
Richeson, David S.
Dewey number
516.204
Illustrations
  • illustrations
  • charts
Index
index present
LC call number
QA466
LC item number
.R535 2019
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Geometry
  • Mathematics, Ancient
  • Geometry
  • Mathematics, Ancient
  • Antike
  • Geometrie
  • Mathematisches Problem
Label
Tales of impossibility : the 2000-year quest to solve the mathematical problems of antiquity, David S. Richeson
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 405-428) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
The four problems -- Proving the impossible -- Compass-and-straightedge constructions -- The first mathematical crisis -- Doubling the cube -- The early history of pi -- Quadratures -- Archimedes's Number -- The heptagon, nonagon, and the other regular polygons -- Neusis constructions -- Curves -- Getting by with less -- The dawn of algebra -- Viete's analytic art -- Descartes's compass-and-straightedge arithmetic -- Descartes and the problems of antiquity -- Seventeenth-century quadratures of the circle -- Complex numbers -- Gauss's 17-gon -- Pierre Wantzel -- Irrational and transcendental numbers -- Epilogue: Sirens or muses?
Control code
1089485427
Dimensions
25 cm
Extent
xii, 436 pages
Isbn
9780691192963
Lccn
2019941488
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations, charts
System control number
(OCoLC)1089485427
Label
Tales of impossibility : the 2000-year quest to solve the mathematical problems of antiquity, David S. Richeson
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 405-428) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
The four problems -- Proving the impossible -- Compass-and-straightedge constructions -- The first mathematical crisis -- Doubling the cube -- The early history of pi -- Quadratures -- Archimedes's Number -- The heptagon, nonagon, and the other regular polygons -- Neusis constructions -- Curves -- Getting by with less -- The dawn of algebra -- Viete's analytic art -- Descartes's compass-and-straightedge arithmetic -- Descartes and the problems of antiquity -- Seventeenth-century quadratures of the circle -- Complex numbers -- Gauss's 17-gon -- Pierre Wantzel -- Irrational and transcendental numbers -- Epilogue: Sirens or muses?
Control code
1089485427
Dimensions
25 cm
Extent
xii, 436 pages
Isbn
9780691192963
Lccn
2019941488
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations, charts
System control number
(OCoLC)1089485427

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