**History of Mathematics**

readings page
More will be posted as they are located.

Scott Aaronson, Who Can
Name the Bigger Number?
John Barrow, Infinity, Almost and Actual, Fictitious and Factual, Chapter 2 from *The Infinite Book*
-----, Infinity Is Not a Big Number, Chapter 4 from *The Infinite Book*
-----, The Madness of Georg Cantor, Chapter 5 from *The Infinite Book*
Eric Temple Bell, Master and Pupil, Chapter 22 from *Men of Mathematics*
Nicolas Bourbaki (in this case Jean Dieudonne), The Architecture of Mathematics
Joseph Dauben, Cantor's Philosophy of the
Infinite, Chapter 6 from *Georg Cantor*
Moon Duchin, The sexual
politics of genius
William Dunham, Preface and Biographical Sketch from *Euler, The Master of Us All*
-----, Euler and Logarithms (Chapter 2), Euler and Infinite
Series (Chapter 3), from *Euler, The Master of Us All*
Patricia Fara, Preface/Matters of Fact, selection from *Newton: The Making of Genius*
Thomas Fiske, Mathematical progress in America
Fowler and Robson, Square Root Approximations in Old Babylonian Mathematics
Marvin Jay Greenberg, Philosophical Implications, Chapter 8 from
*Euclidean and Non-Euclidean geometries: Development and history*
Jacques Hadamard, Different Kinds of Mathematical Minds, Chapter 7 from
*The Psychology of Invention in the Mathematical Field*
R.W. Hamming, The Unreasonable Effectiveness of Mathematics (response to Wigner)
G.H. Hardy, The Indian Mathematician Ramanujan
Robin Hartshorne, Teaching geometry
according to Euclid
Subhash Kak, Three Old Indian Values of Pi
Victor Katz, Arithmetic computations, from *A History of Mathematics*
-----, The algebra of Al-Khwarizmi and ibn Turk,
from *A History of Mathematics*
Emilie Kenney, Cardano: "Arithmetic Subtlety" and Impossible Solutions
Imre Lakatos, Proofs and Refutations pages 6-43, in case you're having trouble
locating the book
Saunders MacLane, Mathematics at Gottingen under the Nazis
Maurice Mashaal, selection (Chapters 5, 9, 10) from
*Bourbaki: A secret society of mathematicians*
Barry Mazur, Conjecture
Paolo Mancosu, Mathematical Explanation: Problems and Prospects
Ernest Nagel and James R. Newman, Intro/The Problem of Consistency
and Absolute Proofs of Consistency, selections from *Godel's Proof*
Henri Poincare (and John Stillwell), Theory of Fuchsian Groups (and translator's
introduction), from Stillwell, *Sources of hyperbolic geometry*
H.G. Romig, Early History of Division by Zero
Laurent Rollet & Philippe Nabonnand, The *Repertoire Bibliographique*
Tony Rothman, Genius and Biographers: The Fictionalization of Evariste Galois
Brian Rotman, Mathematical Infinity/Finity, Chapter 2 from
*Ad Infinitum*
-----, Number, Vision, Money, Chapter 1 from *Signifying Nothing*
Ranjan Roy, The Discovery of the Series Formula
for Pi by
Leibniz, Gregory and Nilakantha (link removed by request)
Pierre Wantzel, Recherches sur le moyen de reconnaitre si un Probleme de Geometrie
peut se resoudre avec le regle et le compas (Research on the way of finding if a Geometric Problem can
be solved with the ruler and compass)
Karl Weierstrass, On Continuous Functions of a Real Argument that do not have a
Well-defined Differential Quotient
Eugene Wigner, The Unreasonable Effectiveness of Mathematics in the Natural Sciences