Dr. Euler's fabulous formula :: cures many mathematical ills /
Presents the story of the formula - zero equals e[pi] i+1 long regarded as the gold standard for mathematical beauty. This book shows why it still lies at the heart of complex number theory. It discusses many sophisticated applications of complex numbers in pure and applied mathematics, and to elect...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J. :
Princeton University Press,
2011.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Presents the story of the formula - zero equals e[pi] i+1 long regarded as the gold standard for mathematical beauty. This book shows why it still lies at the heart of complex number theory. It discusses many sophisticated applications of complex numbers in pure and applied mathematics, and to electronic technology. |
| Beschreibung: | 1 online resource (xxxii, 380 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781400838479 1400838479 |
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| 520 | |a Presents the story of the formula - zero equals e[pi] i+1 long regarded as the gold standard for mathematical beauty. This book shows why it still lies at the heart of complex number theory. It discusses many sophisticated applications of complex numbers in pure and applied mathematics, and to electronic technology. | ||
| 504 | |a Includes bibliographical references and index. | ||
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| 505 | 0 | 0 | |t Preface : "when did math become sexy?" -- |g 1. |t Complex numbers (an assortment of essays beyond the elementary involving complex numbers) -- |g 2. |t Vector trips (some complex plane problems in which direction matters) -- |g 3. |t The irrationality of [pi]² ("higher" math at the sophomore level) -- |g 4. |t Fourier series (named after Fourier but Euler was there first -- but he was, alas, partially wrong!) -- |g 5. |t Fourier integrals (what happens as the period of a periodic function becomes infinite, and other neat stuff) -- |g 6. |t Electronics and [square root of -1] (technological applications of complex numbers that Euler, who was a practical fellow himself, would have loved) -- |t Euler : the man and the mathematical physicist. |
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| contents | Preface : "when did math become sexy?" -- Complex numbers (an assortment of essays beyond the elementary involving complex numbers) -- Vector trips (some complex plane problems in which direction matters) -- The irrationality of [pi]² ("higher" math at the sophomore level) -- Fourier series (named after Fourier but Euler was there first -- but he was, alas, partially wrong!) -- Fourier integrals (what happens as the period of a periodic function becomes infinite, and other neat stuff) -- Electronics and [square root of -1] (technological applications of complex numbers that Euler, who was a practical fellow himself, would have loved) -- Euler : the man and the mathematical physicist. |
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| dewey-raw | 512.7/88 |
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| discipline | Mathematik |
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| spelling | Nahin, Paul J. Dr. Euler's fabulous formula : cures many mathematical ills / Paul J. Nahin ; with a new preface by the author. Princeton, N.J. : Princeton University Press, 2011. 1 online resource (xxxii, 380 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Presents the story of the formula - zero equals e[pi] i+1 long regarded as the gold standard for mathematical beauty. This book shows why it still lies at the heart of complex number theory. It discusses many sophisticated applications of complex numbers in pure and applied mathematics, and to electronic technology. Includes bibliographical references and index. Print version record. Preface : "when did math become sexy?" -- 1. Complex numbers (an assortment of essays beyond the elementary involving complex numbers) -- 2. Vector trips (some complex plane problems in which direction matters) -- 3. The irrationality of [pi]² ("higher" math at the sophomore level) -- 4. Fourier series (named after Fourier but Euler was there first -- but he was, alas, partially wrong!) -- 5. Fourier integrals (what happens as the period of a periodic function becomes infinite, and other neat stuff) -- 6. Electronics and [square root of -1] (technological applications of complex numbers that Euler, who was a practical fellow himself, would have loved) -- Euler : the man and the mathematical physicist. Numbers, Complex. http://id.loc.gov/authorities/subjects/sh85093211 Euler's numbers. http://id.loc.gov/authorities/subjects/sh85045553 Mathematics History. Nombres complexes. Intégrales eulériennes. Mathématiques Histoire. MATHEMATICS Number Theory. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Euler's numbers fast Mathematics fast Numbers, Complex fast History fast Print version: Nahin, Paul J. Dr. Euler's fabulous formula. Princeton, N.J. : Princeton University Press, 2011 0691150370 (OCoLC)700406565 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=362301 Volltext 505-00/(S Preface to the paperback edition -- What this book is about, what you need to know to read it, and why you should read it -- Preface: When did math become sexy? -- Introduction: Concept of mathematical beauty. Equations, identities, and theorems. Mathematical ugliness. Beauty redux -- Complex numbers (an assortment of essays beyond the elementary involving complex numbers) -- Vector trips (some complex plane problems in which direction matters) -- The irrationality of π ("higher" math at the sophomore level) -- Fourier series (named after Fourier but Euler was there first, but he was, alas, partially wrong!) -- Fourier integrals (what happens as the period of a periodic function becomes infinite, and other neat stuff) -- Electronics and √ −1 (technological applications of complex numbers that Euler, who was a pratical fellow himself, would have loved) -- Euler: the man and the mathematical physicist. |
| spellingShingle | Nahin, Paul J. Dr. Euler's fabulous formula : cures many mathematical ills / Preface : "when did math become sexy?" -- Complex numbers (an assortment of essays beyond the elementary involving complex numbers) -- Vector trips (some complex plane problems in which direction matters) -- The irrationality of [pi]² ("higher" math at the sophomore level) -- Fourier series (named after Fourier but Euler was there first -- but he was, alas, partially wrong!) -- Fourier integrals (what happens as the period of a periodic function becomes infinite, and other neat stuff) -- Electronics and [square root of -1] (technological applications of complex numbers that Euler, who was a practical fellow himself, would have loved) -- Euler : the man and the mathematical physicist. Numbers, Complex. http://id.loc.gov/authorities/subjects/sh85093211 Euler's numbers. http://id.loc.gov/authorities/subjects/sh85045553 Mathematics History. Nombres complexes. Intégrales eulériennes. Mathématiques Histoire. MATHEMATICS Number Theory. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Euler's numbers fast Mathematics fast Numbers, Complex fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85093211 http://id.loc.gov/authorities/subjects/sh85045553 |
| title | Dr. Euler's fabulous formula : cures many mathematical ills / |
| title_alt | Preface : "when did math become sexy?" -- Complex numbers (an assortment of essays beyond the elementary involving complex numbers) -- Vector trips (some complex plane problems in which direction matters) -- The irrationality of [pi]² ("higher" math at the sophomore level) -- Fourier series (named after Fourier but Euler was there first -- but he was, alas, partially wrong!) -- Fourier integrals (what happens as the period of a periodic function becomes infinite, and other neat stuff) -- Electronics and [square root of -1] (technological applications of complex numbers that Euler, who was a practical fellow himself, would have loved) -- Euler : the man and the mathematical physicist. |
| title_auth | Dr. Euler's fabulous formula : cures many mathematical ills / |
| title_exact_search | Dr. Euler's fabulous formula : cures many mathematical ills / |
| title_full | Dr. Euler's fabulous formula : cures many mathematical ills / Paul J. Nahin ; with a new preface by the author. |
| title_fullStr | Dr. Euler's fabulous formula : cures many mathematical ills / Paul J. Nahin ; with a new preface by the author. |
| title_full_unstemmed | Dr. Euler's fabulous formula : cures many mathematical ills / Paul J. Nahin ; with a new preface by the author. |
| title_short | Dr. Euler's fabulous formula : |
| title_sort | dr euler s fabulous formula cures many mathematical ills |
| title_sub | cures many mathematical ills / |
| topic | Numbers, Complex. http://id.loc.gov/authorities/subjects/sh85093211 Euler's numbers. http://id.loc.gov/authorities/subjects/sh85045553 Mathematics History. Nombres complexes. Intégrales eulériennes. Mathématiques Histoire. MATHEMATICS Number Theory. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Euler's numbers fast Mathematics fast Numbers, Complex fast |
| topic_facet | Numbers, Complex. Euler's numbers. Mathematics History. Nombres complexes. Intégrales eulériennes. Mathématiques Histoire. MATHEMATICS Number Theory. MATHEMATICS Mathematical Analysis. Euler's numbers Mathematics Numbers, Complex History |
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