Victor Moll
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Victor Hugo Moll (born
1956 Events January * January 1 – The Anglo-Egyptian Sudan, Anglo-Egyptian Condominium ends in Sudan. * January 8 – Operation Auca: Five U.S. evangelical Christian Missionary, missionaries, Nate Saint, Roger Youderian, Ed McCully, Jim ...
) is a Chilean American mathematician specializing in calculus. Moll studied at the Universidad Santa Maria and at the
New York University New York University (NYU) is a private research university in New York City. Chartered in 1831 by the New York State Legislature, NYU was founded by a group of New Yorkers led by then-Secretary of the Treasury Albert Gallatin. In 1832, the ...
with a master's degree in 1982 and a doctorate in 1984 with Henry P. McKean (''Stability in the Large for Solitary Wave Solutions to McKean's Nerve Conduction Caricature''). He was a post-doctoral student at
Temple University Temple University (Temple or TU) is a public state-related research university in Philadelphia, Pennsylvania. It was founded in 1884 by the Baptist minister Russell Conwell and his congregation Grace Baptist Church of Philadelphia then called Ba ...
and became an assistant professor in 1986 and an associate professor in 1992 and in 2001 Professor at
Tulane University Tulane University, officially the Tulane University of Louisiana, is a private university, private research university in New Orleans, Louisiana. Founded as the Medical College of Louisiana in 1834 by seven young medical doctors, it turned into ...
. In 1990–1991, he was a visiting professor at the
University of Utah The University of Utah (U of U, UofU, or simply The U) is a public research university in Salt Lake City, Utah. It is the flagship institution of the Utah System of Higher Education. The university was established in 1850 as the University of De ...
, in 1999 at the
Universidad Técnica Federico Santa María Universidad (Spanish for "university") may refer to: Places * Universidad, San Juan, Puerto Rico * Universidad (Madrid) Football clubs * Universidad SC, a Guatemalan football club that represents the Universidad de San Carlos de Guatemala ...
in
Valparaíso Valparaíso (; ) is a major city, seaport, naval base, and educational centre in the commune of Valparaíso, Chile. "Greater Valparaíso" is the second largest metropolitan area in the country. Valparaíso is located about northwest of Santiago ...
, and in 1995 a visiting scientist at the
Courant Institute of Mathematical Sciences The Courant Institute of Mathematical Sciences (commonly known as Courant or CIMS) is the mathematics research school of New York University (NYU), and is among the most prestigious mathematics schools and mathematical sciences research cente ...
of New York University. He deals with classical analysis, symbolic arithmetic and
experimental mathematics Experimental mathematics is an approach to mathematics in which computation is used to investigate mathematical objects and identify properties and patterns. It has been defined as "that branch of mathematics that concerns itself ultimately with th ...
, special functions and number theory.


Projects

Inspired by a 1988 paper in which proved several integrals in '' Table of Integrals, Series, and Products'', a well-known comprehensive table of integrals originally compiled by the Russian mathematicians Iosif Moiseevich Ryzhik (Russian: Иосиф Моисеевич Рыжик) and
Izrail Solomonovich Gradshteyn ''Gradshteyn and Ryzhik'' (''GR'') is the informal name of a comprehensive table of integrals originally compiled by the Russian mathematicians I. S. Gradshteyn and I. M. Ryzhik. Its full title today is ''Table of Integrals, Series, and Products ...
(Израиль Соломонович Градштейн) in 1943 and subsequently expanded and translated into several languages, Victor Moll and George Boros started a project to prove all integrals listed in ''Gradshteyn and Ryzhik'' and add additional commentary and references. In the foreword of the book ''Irresistible Integrals'' (2004), they wrote: Nevertheless, the efforts have resulted in about 900 entries from ''Gradshteyn and Ryzhik'' discussed in a series of more than 30 articles of which papers 1 to 28 have been published in issues 14 to 26 of
Scientia Scientia is the Latin word for knowledge. It may refer to: * 7756 Scientia *''The Triumph of Science over Death'', a sculpture of Filipino hero José Rizal * ''Scientia'' (UTFSM journal), a scientific journal published by Universidad Técnica Fe ...
,
Universidad Técnica Federico Santa María Universidad (Spanish for "university") may refer to: Places * Universidad, San Juan, Puerto Rico * Universidad (Madrid) Football clubs * Universidad SC, a Guatemalan football club that represents the Universidad de San Carlos de Guatemala ...
(UTFSM), between 2007 and 2015 and compiled into a two-volume book series ''Special Integrals of Gradshteyn and Ryzhik: the Proofs'' (2014–2015). Moll also assisted Daniel Zwillinger editing the eight English edition of
Gradshteyn and Ryzhik ''Gradshteyn and Ryzhik'' (''GR'') is the informal name of a comprehensive table of integrals originally compiled by the Russian mathematicians I. S. Gradshteyn and I. M. Ryzhik. Its full title today is ''Table of Integrals, Series, and Products ...
in 2014. Moll also took on the task to revise and expand the classical landmark work "
A Course of Modern Analysis ''A Course of Modern Analysis: an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions'' (colloquially known as Whittaker and Watson) is a landmark textb ...
" by
Whittaker and Watson ''A Course of Modern Analysis: an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions'' (colloquially known as Whittaker and Watson) is a landmark textb ...
, which was originally published in 1902 and last revised in 1927, to publish a new edition in 2021.


Publications


''The evaluation of integrals, a personal story'', Notices AMS, 2002, No. 3
* with Henry McKean ''Elliptic Curves: function theory, geometry, arithmetic'', Cambridge University Press, 1997 * ''Numbers and functions: from a classical-experimental mathematician’s point of view'', AMS, 2012 * Editor with Tewodros Amdeberhan ''Tapas in experimental mathematics'', AMS Special Session on Experimental Mathematics, 5 January 2007, New Orleans, Louisiana, AMS, 2008 * Editor with Tewodros Amdeberhan, Luis A. Medina ''Gems in experimental mathematics'', AMS Special Session, Experimental Mathematics, 5 January 2009, Washington, DC, AMS, 2010 * with George Boros ''Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals'', Cambridge University Press, 2004. *
A Course of Modern Analysis ''A Course of Modern Analysis: an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions'' (colloquially known as Whittaker and Watson) is a landmark textb ...
, 2021


See also

*
Gradshteyn and Ryzhik ''Gradshteyn and Ryzhik'' (''GR'') is the informal name of a comprehensive table of integrals originally compiled by the Russian mathematicians I. S. Gradshteyn and I. M. Ryzhik. Its full title today is ''Table of Integrals, Series, and Products ...
(GR) *
Whittaker and Watson ''A Course of Modern Analysis: an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions'' (colloquially known as Whittaker and Watson) is a landmark textb ...


References


External links

* {{DEFAULTSORT:Moll, Victor 20th-century American mathematicians 21st-century American mathematicians 1956 births Living people