Harmony of the World

Introduction; A Brief History of Mathematics Magazine; Part I. The First Fifteen Years: 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; Part II. The 1940s: 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; Part III. The 1950s: 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; Part IV. The 1960s: 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; πt : 1832–1879 Underwood Dudley; Part V. The 1970s: 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; Part VI. The 1980s: 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; Briefly noted; The problem section; Index; About the editors.