Leseprobe
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Dr. Euler's Fabulous Formula
Paul Nahin
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Naturwissenschaften, Medizin, Informatik, Technik / Geometrie
Beschreibung
In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.
Kundenbewertungen
Integer, Complex plane, Square root, Real number, Coefficient, Binomial theorem, Trigonometric series, Unit vector, Natural number, Christian Goldbach, Sign (mathematics), Circumference, Gaussian integer, Daniel Bernoulli, Absolute value, Martin Gardner, Parity (mathematics), Johann Bernoulli, Fourier transform, Fermat's Last Theorem, Polynomial, Theoretical physics, Velocity, Fourier series, Theorem, Geometry, Almost surely, Fourier, Trigonometric functions, Number theory, Physicist, JSTOR, Clockwise, Complex number, Mathematician, Calculation, Mathematical beauty, Periodic function, Cartesian coordinate system, Gibbs phenomenon, Factorization, Variable (mathematics), Change of variables, Electrical engineering, The Character of Physical Law, Expression (mathematics), James Clerk Maxwell, Leonhard Euler, Integer factorization, Equation, Function (mathematics), Paul Dirac, Convolution, Mathematical analysis, Richard Feynman, Euler's formula, Mathematics, Derivation (differential algebra), Significant figures, Approximation, Summation, Counterexample, Princeton University Press, Requirement, Round-off error, Differential equation, Prime number, Pure mathematics, Euler's identity, Special case