edited by Gerald L. Alexanderson ; with the assistance of Peter Ross
[Washington, DC] :
Mathematical Association of America,
c2007
xiii, 287 p. :
ill. ;
28 cm
Includes bibliographical references and index
Perfect numbers / Zena Garrett -- Rejected papers of three famous mathematicians / Arnold Emch -- Review of Men of mathematics / G. Waldo Dunnington -- Oslo under the integral sign / G. Waldo Dunnington -- Vigeland's monument to Abel in Oslo / G. Waldo Dunnington -- The history of mathematics / Otto Neugebauer -- Numerical notations and their influence on mathematics / D.H. Lehmer -- The generalized Weierstrass approximation theorem / Marshall H. Stone -- Hypatia of Alexandria / A.W. Richeson -- Gauss and the early development of algebraic numbers / E.T. Bell -- The harmony of the world / Morris Kline -- What mathematics has meant to me / E.T. Bell -- Mathematics and mathematicians from Abel to Zermelo / Einar Hille -- Inequalities / Richard Bellman -- A number system with an irrational base / George Bergman -- Generalizations of theorems about triangles / Carl B. Allendoerfer -- A radical suggestion / Roy J. Dowling -- Topology and analysis / R.C. Buck -- The sequence {sin n} / C. Stanley Ogilvy -- Probability theory and the Lebesgue integral / Truman Botts -- On round pegs in square holes and square pegs in round holes / David Singmaster -- [Pi]t : 1832-1879, Underwood Dudley -- Trigonometric identities / Andy R. Magid -- A property of 70 / Paul Erdös -- Hamilton's discovery of quaternions / B.L. van der Waerden -- Geometric extremum problems / G.D. Chakerian and L.H. Lange -- Pólya's enumeration theorem by example / Alan Tucker -- Logic from A to G / Paul R. Halmos -- Tiling the plane with congruent pentagons / Doris Schattschneider -- Unstable polyhedral structures / Michael Goldberg -- Leonhard Euler, 1707-1783 / J.J. Burckhardt -- Love affairs and differential equations / Steven H. Strogatz -- The evolution of group theory / Israel Kleiner -- Design of an oscillating sprinkler / Bart Braden -- The centrality of mathematics in the history of Western thought / Judith V. Grabiner -- Geometry strikes again / Branko Grünbaum -- Why your classes are larger than "average" / David Hemenway -- The new polynomial invariants of knots and links / W.B.R. Lickorish and Kenneth C. Millett