## 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 2,500-year-long 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, co-discoverers 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. From the Hardcover edition. |

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#### Infinite ascent: a short history of mathematics

User Review - Not Available - Book VerdictA mathematician, lecturer, and essayist (A Tour of the Calculus), Berlinski offers an imaginative and readable romp through the history of mathematics. To help lay readers understand abstract ... Read full review

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afﬁrmed algebra algorithm analytic geometry angles arithmetic axioms calculus Cantor cardinal number century cians coefﬁcients complex numbers concept coordinate system curve deﬁned deﬁnition demonstrated Descartes difﬁcult distance equation Euclid Euclid’s parallel postulate Euclidean geometry exponential functions expressed fact ﬁeld ﬁfth ﬁnal ﬁnally ﬁnd ﬁnite ﬁrst ﬁve ﬁxed formula four Galois Gauss Georg Cantor given line Godel Greek Hilbert hyperbolic geometry idea identiﬁed identity indeﬁnitely inﬁnite sum inﬁnitesimal integral intellectual intuition Kronecker Kurt Godel Leibniz Leopold Kronecker Lobachevsky logic logicians mathe mathematicians mathematics maticians matter means method natural numbers negative numbers Newton non-Euclidean geometry objects once parallel postulate permutations plane Poincare disk prime numbers Principia proof provable Pythagoras Pythagorean real numbers remarkable Riemann secant lines sense set theory simple space speciﬁc speed square root straight line subgroup suggest symbols symmetric group tangent Taniyama-Shimura conjecture theorem things thought tion triangle Turing variables zero