Download A Passion for Mathematics: Numbers, Puzzles, Madness, by Clifford A. Pickover PDF

By Clifford A. Pickover

A ardour for Mathematics is an instructional, pleasing journey during the curiosities of the mathematics global, mixing an eclectic mixture of historical past, biography, philosophy, quantity concept, geometry, likelihood, large numbers, and mind-bending difficulties right into a delightfully compelling assortment that's bound to please math buffs, scholars, and skilled mathematicians alike. In each one bankruptcy, Clifford Pickover presents factoids, anecdotes, definitions, quotations, and beautiful demanding situations that diversity from enjoyable, quirky puzzles to insanely tough difficulties. Readers will come upon mad mathematicians, unusual quantity sequences, obstinate numbers, curious constants, magic squares, fractal ducks, monkeys typing Hamlet, infinity, and lots more and plenty, even more. A ardour for Mathematics will feed readers’ fascination whereas giving them problem-solving talents a good work out!

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Additional info for A Passion for Mathematics: Numbers, Puzzles, Madness, Religion, and the Quest for Reality

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Euler verified this for n = 1, 2, 4, 8, and 16, and showed that the next case 232 + 1 = 4,294,967,297 = 641 × 6,700,417, and so is not prime. George Boole (1815–1864), an Englishman, was a logician and an algebraist. Like Ramanujan and other mystical mathematicians, Boole had “mystical” experiences. David Noble, in his book The Religion of Technology, notes, “The thought flashed upon him suddenly as he was walking across a field that his ambition in life was to explain the logic of human thought and to delve analytically into the spiritual aspects of man’s nature [through] the expression of logical relations in symbolic 18 A Passion for Mathematics or algebraic form.

His ideas continue to thrive after three millennia of mathematical science. The philosopher Bertrand Russell once wrote Mathematical scope. “Mathematics is not a book confined within a cover and bound between brazen clasps, whose contents it needs only patience to ransack; it is not a mine, whose treasures may take long to reduce into possession, but which fill only a limited number of veins and lodes; it is not a soil, whose fertility can be exhausted by the yield of successive harvests; it is not a continent or an ocean, whose area can be mapped out and its contour defined: it is limitless as that space which it finds too narrow for its aspirations; its possibilities are as infinite as the worlds which are forever crowding in and multiplying upon the astronomer’s gaze; it is as incapable of being restricted within assigned boundaries or being reduced to definitions of permanent validity, as the consciousness, the life, which seems to slumber in each monad, in every atom of matter, in each leaf and bud and cell, and is forever ready to burst forth into new forms of vegetable and animal existence” (James Joseph Sylvester, The Collected Mathematical Papers of James Joseph Sylvester, Volume III, address on Commemoration Day at Johns Hopkins University, February 22, 1877).

However, you note that the person has the following formulas tattooed on the right arm: dR 0 The genesis of x = 1. Ibn Yahya al-Maghribi Al-Samawal in 1175 was the first to publish x0 = 1 In other words, he realized and published the idea that any number raised to the power of 0 is 1. Al-Samawal’s book was titled The Dazzling. His father was a Jewish scholar of religion and literature from Baghdad. Euler’s one-step proof of God’s existence. In mathematical books too numerous to mention, we have heard the story of the mathematician Leonhard Euler’s encounter with the French encyclopedist Denis Diderot.

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