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Playing with Infinity: Mathematical Explorations and Excursions

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Popular account ranges from counting to mathematical logic and covers the many mathematical concepts that relate to infinity: graphic representation of functions; pairings and other combinations; prime numbers; logarithms and circular functions; formulas, analytical geometry; infinite lines, complex numbers, expansion in the power series; metamathematics; more. 216 illustrations.

This book is written for intellectually minded people who are not mathematicians. It is written for men ofliterature, of art, of the humanities. I have received a great deal from the arts and I would now like in my turn to present mathematics and let everyone see that mathematics and the arts are not so different from each other. I love mathematics not only for its technical applications, but principally because it is beautiful; because man has breathed his spirit of play into it, and because it has given him his greatest game-the encompassing of the infinite. Mathematics can give to the world such worthwhile things-about ideas, about infinity; and yet how essentially human it is-unlike the dull multiplication table, it bears on it for ever the stamp of man's handiwork.
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