Dr. Euler's Fabulous Formula : Cures Many Mathematical Ills /

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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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Detalles Bibliográficos
Autor principal: Nahin, Paul J.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, 2011.
Colección:Book collections on Project MUSE.
Temas:
Numbers, Complex.
Mathematics.
Euler's numbers.
MATHEMATICS > Mathematical Analysis.
MATHEMATICS > Number Theory.
Mathematiques > Histoire.
Integrales euleriennes.
Nombres complexes.
Mathematics > History.
History.
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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