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On a Series of Goldbach and Euler

by Lluís Bibiloni, Jaume Paradís, and Pelegrí Viader

Year of Award: 2007

Award: Lester R. Ford

Publication Information: The American Mathematical Monthly, vol. 113, (2006), pp. 206-220

Summary: (from the authors abstract) An examination of a Goldbach proof using a modern (and completely different) proof of the Goldbach-Euler Theorem.  The authors present a rational reconstruction in terms which could be considered rigorous by modern standards.

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About the Authors: (from The American Mathematical Monthly, (2006))

Lluís Bibiloni is an associate professor of mathematics education at the Departament de Didactica de les Matematiques i de les Ciencies Experimentals of the Universitat Autonoma de Barcelona. He received his Ph.D. in mathematics from the Universitat Politecnica de Catalunya. As to mathematics proper, his main research interest is the metrical theory of the continuum and related subjects. He has been deeply influenced by the work of George Pólya on problem solving and plausible reasoning, and he is pursuing Pólya’s ideas at the practical teaching level as well as at the research level in mathematics education. His favorite mathematical subjects are number theory, mathematical logic, nonstandard analysis, and the philosophy and history of mathematics.

Jaume Paradís received his Ph.D. in mathematics from the Universitat Politecnica de Catalunya. He is now an associate professor at the Universitat Pompeu Fabra, Barcelona. His early research includes several books and papers on the history of algebra, mainly on Viete’s and Fermat’s contributions. He focuses his current research on Pierce expansions and other systems of real number representation and on singular functions defined with their help.

Pelegrí Viader is an associate professor of mathematics at the Universitat Pompeu Fabra, Barcelona. He received his Ph.D. in mathematics from the Universitat Politecnica de Catalunya. His main research interests are algorithms for the representation of real numbers, singular functions, and the history of mathematics. His interests besides mathematics are history at large, tennis, and enjoying the company of family and friends over a nice paella on a Mediterranean beach.

 

Subject classification(s): Index
Publication Date: 
Wednesday, October 22, 2008

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