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The Pythagorean Theorem

A 4,000-Year History

Eli Maor

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Geometrie

Beschreibung

An exploration of one of the most celebrated and well-known theorems in mathematics

By any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Although attributed to Pythagoras, the theorem was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it, but his proof—if indeed he had one—is lost to us. The theorem itself, however, is central to almost every branch of science, pure or applied. Maor brings to life many of the characters that played a role in its history, providing a fascinating backdrop to perhaps our oldest enduring mathematical legacy.

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Schlagwörter

Minkowski space, Conjecture, Floor and ceiling functions, Summation, Fundamental theorem of arithmetic, Euclidean geometry, Lewis Carroll, Pythagorean triple, Astronomy, Prime number, Integer, Pappus of Alexandria, Trivium, Scientific notation, Special relativity, Line segment, Coordinate system, Leonhard Euler, David Hilbert, Pythagorean theorem, Leibniz's notation, Rectangle, Hypotenuse, Howard Eves, Significant figures, Alhazen, Astroid, Numerology, Quaternion, Trigonometry, Bernhard Riemann, Liber Abaci, Prime factor, Polynomial, Mario Livio, Muhammad ibn Musa al-Khwarizmi, Natural number, Rate of convergence, Magic square, Right angle, Asger Aaboe, Hilbert space, Geometry, Abstract algebra, Arithmetica, Mathematician, Big O notation, Hyperbolic function, Logarithmic spiral, Chinese mathematics, Goldbach's conjecture, Theorem, Square root, Natural logarithm, Two-dimensional space, Simon Singh, Accuracy and precision, Speed of light, Unit circle, Semiperimeter, Nicolaus Copernicus, Einstein notation, Coefficient, Sieve of Eratosthenes, Marin Mersenne, Line (geometry), Fermat's Last Theorem, Catenary, Euler's formula, Special case, Equation, Arc length, Number line, Cartesian coordinate system, Pure mathematics, Quantity, Pythagorean quadruple, Bessel function, Death ray, Mersenne prime, Mathematics, Greek mathematics, Number theory, Diameter, Right triangle, Al-Biruni, Christopher Clavius, Infinitesimal, Fibonacci, Florian Cajori, Exponential function, Euclid's Elements, Variable (mathematics), Angle of rotation, Gerhard Frey, Riemann hypothesis, Non-Euclidean geometry, Compass-and-straightedge construction, Pythagoreanism, Paul Guldin