An Imaginary Tale: The Story of i [the square root of minus one]
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
2010
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| Schriftenreihe: | Princeton Science Library
|
| Schlagworte: | |
| Online-Zugang: | FAB01 FAW01 FCO01 FHA01 FKE01 FLA01 UPA01 Volltext Volltext |
| Beschreibung: | Main description: Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics.Some images inside the book are unavailable due to digital copyright restrictions |
| Beschreibung: | 1 Online-Ressource (296 S.) |
| ISBN: | 9781400833894 |
| DOI: | 10.1515/9781400833894 |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Nahin, Paul J. |
| author_facet | Nahin, Paul J. |
| author_role | aut |
| author_sort | Nahin, Paul J. |
| author_variant | p j n pj pjn |
| building | Verbundindex |
| bvnumber | BV042522635 |
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| ctrlnum | (OCoLC)909791069 (DE-599)BVBBV042522635 |
| doi_str_mv | 10.1515/9781400833894 |
| era | Geschichte Anfänge-1950 gnd |
| era_facet | Geschichte Anfänge-1950 |
| format | Electronic eBook |
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| isbn | 9781400833894 |
| language | English |
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| spelling | Nahin, Paul J. Verfasser aut An Imaginary Tale The Story of i [the square root of minus one] Princeton, N.J. Princeton University Press 2010 1 Online-Ressource (296 S.) txt rdacontent c rdamedia cr rdacarrier Princeton Science Library Main description: Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics.Some images inside the book are unavailable due to digital copyright restrictions Geschichte Anfänge-1950 gnd rswk-swf Komplexe Zahl (DE-588)4128698-4 gnd rswk-swf Komplexe Zahl (DE-588)4128698-4 s Geschichte Anfänge-1950 z 1\p DE-604 https://doi.org/10.1515/9781400833894 Verlag Volltext http://www.degruyter.com/search?f_0=isbnissn&q_0=9781400833894&searchTitles=true Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nahin, Paul J. An Imaginary Tale The Story of i [the square root of minus one] Komplexe Zahl (DE-588)4128698-4 gnd |
| subject_GND | (DE-588)4128698-4 |
| title | An Imaginary Tale The Story of i [the square root of minus one] |
| title_auth | An Imaginary Tale The Story of i [the square root of minus one] |
| title_exact_search | An Imaginary Tale The Story of i [the square root of minus one] |
| title_full | An Imaginary Tale The Story of i [the square root of minus one] |
| title_fullStr | An Imaginary Tale The Story of i [the square root of minus one] |
| title_full_unstemmed | An Imaginary Tale The Story of i [the square root of minus one] |
| title_short | An Imaginary Tale |
| title_sort | an imaginary tale the story of i the square root of minus one |
| title_sub | The Story of i [the square root of minus one] |
| topic | Komplexe Zahl (DE-588)4128698-4 gnd |
| topic_facet | Komplexe Zahl |
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