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221229b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780691218724 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
516.204 |
| Item number |
RIC |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Richeson, David S. |
| 245 ## - TITLE STATEMENT |
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| Title |
Tales of impossibility : the 2000-year quest to solve the mathematical problems of antiquity |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Princeton University Press, |
| Date of publication, distribution, etc |
2019 |
| Place of publication, distribution, etc |
New Jersey : |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xii, 436 p. ; |
| Other physical details |
ill., |
| Dimensions |
20 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
22.95 |
| Price type code |
USD |
| Unit of pricing |
85.50 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
EBSCOhost ebooks online |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
A comprehensive look at four of the most famous problems in mathematicsTales of Impossibility 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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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Geometry Famous problems |
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Mathematisches Problem |
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Geometrie Problemes classiques |
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Recreations |
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Games |
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Archimeded of Syracuse |
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Binomial theorem |
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Basel problem |
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Casus irreducibilis |
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De Moivre's Doubling the cube |
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Euclid |
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Eudoxes of Cridus |
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Euler's phi function |
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Fermat's last theorem |
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Galois theory |
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Johnson, Crokett |
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Locking compass |
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Machin's formula |
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Method of exhaustion |
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Neusis |
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Pythagorean theorem |
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Quadratic formula |
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Squaring the circle |
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Trisecting the angle |
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| Topical term or geographic name as entry element |
Wantzel's theorem |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |