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The Harmony of the World: 75 Years of Mathematics Magazine

About this Title

Gerald L. Alexanderson, Santa Clara University and Peter Ross, Santa Clara University, Editors

Publication: Spectrum
Publication Year: 2007; Volume 56
ISBNs: 978-0-88385-560-7 (print); 978-0-88385-966-7 (online)
DOI: https://doi.org/10.5948/UPO9780883859667
MathSciNet review: 2307942
MSC: Primary 01A75; Secondary 00B60

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Table of Contents

Front/Back Matter

• View this volume's front and back matter

Articles

The First Fifteen Years

• Perfect Numbers, Zena Garrett (NT)
• Rejected Papers of Three Famous Mathematicians, Arnold Emch (H)
• Review of Men of Mathematics, G. Waldo Dunnington (H)
• Oslo under the Integral Sign, G. Waldo Dunnington (H)
• Vigeland’s Monument to Abel in Oslo, G. Waldo Dunnington (H)
• The History of Mathematics, Otto Neugebauer (H)
• Numerical Notations and Their Influence on Mathematics, D. H. Lehmer (NT)

The 1940s

• The Generalized Weierstrass Approximation Theorem, Marshall H. Stone (An)
• Hypatia of Alexandria, A. W. Richeson (H)
• Gauss and the Early Development of Algebraic Numbers, E. T. Bell (Al)

The 1950s

• The Harmony of the World, Morris Kline (M)
• What Mathematics Has Meant to Me, E. T. Bell (M)
• Mathematics and Mathematicians from Abel to Zermelo, Einar Hille (H)
• Inequalities, Richard Bellman (An)
• A Number System with an Irrational Base, George Bergman (NT)

The 1960s

• Generalizations of Theorems about Triangles, Carl B. Allendoerfer (G)
• A Radical Suggestion, Roy J. Dowling (NT)
• Topology and Analysis, R. C. Buck (An, T)
• The Sequence $\{\sin n\}$, C. Stanley Ogilvy (An)
• Probability Theory and the Lebesgue Integral, Truman Botts (PS)
• On Round Pegs in Square Holes and Square Pegs in Round Holes, David Singmaster (G)
• $\pi _t$: 1832–1879, Underwood Dudley (M)

The 1970s

• Trigonometric Identities, Andy R. Magid (Al)
• A Property of 70, Paul Erdős (NT)
• Hamilton’s Discovery of Quaternions, B. L. van der Waerden (Al, H)
• Geometric Extremum Problems, G. D. Chakerian and L. H. Lange (G)
• Pólya’s Enumeration Theorem by Example, Alan Tucker (CG)
• Logic from A to G, Paul R. Halmos (L)
• Tiling the Plane with Congruent Pentagons, Doris Schattschneider (G)
• Unstable Polyhedral Structures, Michael Goldberg (G)

The 1980s

• Edited by Gerald L. Alexanderson and Peter Ross – [MR 2307942]
• Leonhard Euler, 1707–1783, J. J. Burckhardt (H)
• Love Affairs and Differential Equations, Steven H. Strogatz (An)
• The Evolution of Group Theory, Israel Kleiner (Al)
• Design of an Oscillating Sprinkler, Bart Braden (AM)
• The Centrality of Mathematics in the History of Western Thought, Judith V. Grabiner (M)
• Geometry Strikes Again, Branko Grünbaum (G)
• Why Your Classes Are Larger than “Average”, David Hemenway (PS)
• The New Polynomial Invariants of Knots and Links, W. B. R. Lickorish and Kenneth C. Millett (CG, T)

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