The Resource Tales of impossibility : the 2000year quest to solve the mathematical problems of antiquity, David S. Richeson
Tales of impossibility : the 2000year quest to solve the mathematical problems of antiquity, David S. Richeson
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The item Tales of impossibility : the 2000year quest to solve the mathematical problems of antiquity, David S. Richeson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Tales of impossibility : the 2000year quest to solve the mathematical problems of antiquity, David S. Richeson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 problemssquaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circlehave served as everpresent muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofsdemonstrating the impossibility of solving them using only a compass and straightedgedepended 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 littleknown 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
 Language
 eng
 Extent
 xii, 436 pages
 Contents

 The four problems
 Proving the impossible
 Compassandstraightedge 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 compassandstraightedge arithmetic
 Descartes and the problems of antiquity
 Seventeenthcentury quadratures of the circle
 Complex numbers
 Gauss's 17gon
 Pierre Wantzel
 Irrational and transcendental numbers
 Epilogue: Sirens or muses?
 Isbn
 9780691192963
 Label
 Tales of impossibility : the 2000year quest to solve the mathematical problems of antiquity
 Title
 Tales of impossibility
 Title remainder
 the 2000year quest to solve the mathematical problems of antiquity
 Statement of responsibility
 David S. Richeson
 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 problemssquaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circlehave served as everpresent muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofsdemonstrating the impossibility of solving them using only a compass and straightedgedepended 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 littleknown 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 2000year quest to solve the mathematical problems of antiquity, David S. Richeson
 Bibliography note
 Includes bibliographical references (pages 405428) 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  Compassandstraightedge 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 compassandstraightedge arithmetic  Descartes and the problems of antiquity  Seventeenthcentury quadratures of the circle  Complex numbers  Gauss's 17gon  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 2000year quest to solve the mathematical problems of antiquity, David S. Richeson
 Bibliography note
 Includes bibliographical references (pages 405428) 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  Compassandstraightedge 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 compassandstraightedge arithmetic  Descartes and the problems of antiquity  Seventeenthcentury quadratures of the circle  Complex numbers  Gauss's 17gon  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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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Talesofimpossibilitythe2000yearquestto/W06sKirp2Sg/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Talesofimpossibilitythe2000yearquestto/W06sKirp2Sg/">Tales of impossibility : the 2000year quest to solve the mathematical problems of antiquity, David S. Richeson</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>