Infinite ascent: a short history of mathematicsIn Infinite Ascent, David Berlinski, the acclaimed author of The Advent of the Algorithm, A Tour of the Calculus, and Newton’s Gift, tells the story of mathematics, bringing to life with wit, elegance, and deep insight a 2,500yearlong intellectual adventure. Berlinski focuses on the ten most important breakthroughs in mathematical history–and the men behind them. Here are Pythagoras, intoxicated by the mystical significance of numbers; Euclid, who gave the world the very idea of a proof; Leibniz and Newton, codiscoverers of the calculus; Cantor, master of the infinite; and Gödel, who in one magnificent proof placed everything in doubt. The elaboration of mathematical knowledge has meant nothing less than the unfolding of human consciousness itself. With his unmatched ability to make abstract ideas concrete and approachable, Berlinski both tells an engrossing tale and introduces us to the full power of what surely ranks as one of the greatest of all human endeavors. 
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Review: Infinite Ascent: A Short History of Mathematics (Modern Library Chronicles #22)
User Review  Chris Aldrich  GoodreadsI'm not really quite sure for whom this book was written, but it was assuredly not meant for me. Though I appreciate his attempt (and more so the publisher's fortitude) to include some very simple ... Read full review
Review: Infinite Ascent: A Short History of Mathematics (Modern Library Chronicles #22)
User Review  Philip  Goodreads# infinite ascent  a short history of mathematics ## by David Berlinski ISBN 067964234X I enjoyed reading this book. I love reading history, I love mathematics, I reserve time in my busy schedule ... Read full review
Contents
Analytic Geometry  29 
The Calculus  45 
Complex Numbers  67 
Copyright  
6 other sections not shown
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algebra algorithm analytic geometry angles area underneath arithmetic axioms bers calculus Cardano cardinal number Cartesian century cians complex numbers comprised concept coordinate system curvature curve defined definition demonstrated Descartes disk distance equation Euclid Euclid's parallel postulate Euclidean geometry Euler exponential functions expressed fact finite formula four Galois Gauss Georg Cantor given line Godel's theorem Greek Hilbert hyperbolic geometry identity infinite sum integral intellectual intuition Kronecker Kurt Godel Leibniz Leopold Kronecker Lobachevsky logic logicians Mandelbrot sets mathe mathematicians maticians matter means method natural numbers negative numbers Newton nonEuclidean geometry once ordinary parallel postulate physical plane Poincare Poincare disk precisely prime numbers Principia Mathematica proof provable Pythagoras Pythagorean real numbers remarkable Riemann secant lines sense sequence set theory simple solvable space speed square root straight line subgroup suggest symbols symmetric group tangent line TaniyamaShimura conjecture things thought tion triangle variables various zero