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Who Gave You the Epsilon?: and Other Tales of Mathematical History
About this Title
Marlow Anderson, Colorado College, Victor Katz, University of the District of Columbia and Robin Wilson, Open University, UK, Editors
Publication: Spectrum
Publication Year:
2009; Volume 63
ISBNs: 978-0-88385-569-0 (print); 978-1-61444-504-3 (online)
DOI: https://doi.org/10.5948/UPO9781614445043
MathSciNet review: 2605650
MSC: Primary 01A05; Secondary 00B60, 01A55, 01A60, 01A75
Table of Contents
Front/Back Matter
- Foreword
- Who Gave You the Epsilon? Cauchy and the Origins of Rigorous Calculus, Judith V. Grabiner
- Evolution of the Function Concept: A Brief Survey, Israel Kleiner
- S. Kovalevsky: A Mathematical Lesson, Karen D. Rappaport
- Highlights in the History of Spectral Theory, L. A. Steen
- Alan Turing and the Central Limit Theorem, S. L. Zabell
- Why did George Green Write his Essay of 1828 on Electricity and Magnetism?, I. Grattan-Guinness
- Connectivity and Smoke-Rings: Green’s Second Identity in its First Fifty Years, Thomas Archibald
- The History of Stokes’ Theorem, Victor J. Katz
- The Mathematical Collaboration of M. L. Cartwright and J. E. Littlewood, Shawnee L. McMurran and James J. Tattersall
- Dr. David Harold Blackwell, African American Pioneer, Nkechi Agwu, Luella Smith and Aissatou Barry
- Afterword
Geometry, Topology and Foundations
- Foreword
- Gauss and the Non-Euclidean Geometry, George Bruce Halsted
- History of the Parallel Postulate, Florence P. Lewis
- The Rise and Fall of Projective Geometry, J. L. Coolidge
- Notes on the History of Geometrical Ideas, Dan Pedoe
- A note on the history of the Cantor set and Cantor function, Julian F. Fleron
- Evolution of the Topological Concept of “Connected”, R. L. Wilder
- A Brief, Subjective History of Homology and Homotopy Theory in this Century, Peter Hilton
- The Origins of Modern Axiomatics: Pasch to Peano, H. C. Kennedy
- C. S. Peirce’s Philosophy of Infinite Sets, Joseph W. Dauben
- On the Development of Logics between the two World Wars, I. Grattan-Guinness
- Dedekind’s Theorem: $\sqrt {2}\times \sqrt {3}=\sqrt {6}$, David Fowler
- Afterword
- Foreword
- Hamilton’s Discovery of Quaternions, B. L. van der Waerden
- Hamilton, Rodrigues, and the Quaternion Scandal, Simon L. Altmann
- Building an International Reputation: The Case of J. J. Sylvester (1814–1897), Karen Hunger Parshall and Eugene Seneta
- The Foundation Period in the History of Group Theory, Josephine E. Burns
- The Evolution of Group Theory: A Brief Survey, Israel Kleiner
- The Search for Finite Simple Groups, Joseph A. Gallian
- Genius and Biographers: The Fictionalization of Evariste Galois, Tony Rothman
- Hermann Grassmann and the Creation of Linear Algebra, Desmond Fearnley-Sander
- The Roots of Commutative Algebra in Algebraic Number Theory, Israel Kleiner
- Eisenstein’s Misunderstood Geometric Proof of the Quadratic Reciprocity Theorem, Reinhard C. Laubenbacher and David J. Pengelley
- Waring’s Problem, Charles Small
- A History of the Prime Number Theorem, L. J. Goldstein
- A Hundred Years of Prime Numbers, Paul T. Bateman and Harold G. Diamond
- The Indian Mathematician Ramanujan, G. H. Hardy
- Emmy Noether, Clark H. Kimberling
- “A Marvelous Proof,” Fernando Q. Gouvêa
- Afterword