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Tales of impossibility : the 2000-year quest to solve the mathematical problems of antiquity /
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| 자료유형 | E-Book |
|---|---|
| 개인저자 | Richeson, David S. (David Scott), author. |
| 서명/저자사항 | Tales of impossibility :the 2000-year quest to solve the mathematical problems of antiquity /David S. Richeson. |
| 발행사항 | Princeton, NJ : Princeton University Press, [2019] |
| 형태사항 | 1 online resource (xii, 436 pages ) : illustrations. |
| 소장본 주기 | OCLC control number change |
| ISBN | 9780691194233 0691194238 |
| 서지주기 | Includes bibliographical references (pages 405-428) and index. |
| 요약 | 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, Vie?te, 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. |
| 일반주제명 | Geometry -- Famous problems. Mathematics, Ancient. MATHEMATICS / History & Philosophy. |
| 언어 | 영어 |
| 기타형태 저록 | Original97806911929630691192960 |
| 대출바로가기 | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2101950 |
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| No. | 등록번호 | 청구기호 | 소장처 | 도서상태 | 반납예정일 | 예약 | 서비스 | 매체정보 |
|---|---|---|---|---|---|---|---|---|
| 1 | WE00017083 | 516.204 | 가야대학교/전자책서버(컴퓨터서버)/ | 대출가능 |
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