Edward Neuman (born September 19, 1943 in

Rydułtowy Rydułtowy () is a town in southern Poland, in the Wodzisław County of the Silesian Voivodeship. Rydułtowy is in the south-western part of the Silesian Highland, on the Rybnik Plateau, in the Oświęcim-Racibórz Valley. A mining town, Rydułto ...

Silesian Voivodeship Silesian Voivodeship ( ) is an administrative province in southern Poland. With over 4.2 million residents and an area of 12,300 square kilometers, it is the second-most populous, and the most-densely populated and most-urbanized region of Poland ...

Poland Poland, officially the Republic of Poland, is a country in Central Europe. It extends from the Baltic Sea in the north to the Sudetes and Carpathian Mountains in the south, bordered by Lithuania and Russia to the northeast, Belarus and Ukrai ...

) is a Polish-American mathematician, currently a professor emeritus of mathematics at

Southern Illinois University Carbondale Southern Illinois University (SIU) is a public research university in Carbondale, Illinois, United States. Chartered in 1869, SIU is the oldest and flagship campus of the Southern Illinois University system. SIU enrolls students from all 50 sta ...

Academic career

Neuman received his Ph.D. in mathematics from the

University of Wrocław The University of Wrocław (, UWr; ) is a public research university in Wrocław, Poland. It is the largest institution of higher learning in the Lower Silesian Voivodeship, with over 100,000 graduates since 1945, including some 1,900 researcher ...

in 1972 under the supervision of wmpl:Stefan Paszkowski. His dissertation was entitled "Projections in Uniform Polynomial Approximation." He held positions at the Institute of Mathematics and the Institute of Computer Sciences of the

University of Wroclaw A university () is an institution of tertiary education and research which awards academic degrees in several academic disciplines. ''University'' is derived from the Latin phrase , which roughly means "community of teachers and scholars". Univ ...

, and the Institute of Applied Mathematics Bonn in Germany. In 1986, he took a permanent faculty position at

Southern Illinois University Southern Illinois University is a system of public universities in the southern region of the U.S. state of Illinois. Its headquarters is in Carbondale, Illinois. Board of trustees The university is governed by the nine member SIU Board of T ...

Contributions

Neuman has contributed 130 journal articles in computational mathematics and mathematical inequalities such as the Ky Fan inequality, on bivariate means, and mathematical approximations and expansions. Neuman also developed software for computing with spline functions and wrote several tutorials for the

MATLAB MATLAB (an abbreviation of "MATrix LABoratory") is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks. MATLAB allows matrix manipulations, plotting of functions and data, implementat ...

programing software. Among the mathematical concepts named after Edward Neuman are Neuman–Sándor Mean and Neuman Means, which are useful tools for advancing the theory of

special functions Special functions are particular mathematical functions that have more or less established names and notations due to their importance in mathematical analysis, functional analysis, geometry, physics, or other applications. The term is defined by ...

including

Jacobi elliptic functions In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions. They are found in the description of the motion of a pendulum, as well as in the design of electronic elliptic filters. While trigonometric functions are define ...

: * The Neuman–Sándor mean * The Neuman Means of the first kind * The Neuman Means of the second kind

Awards and honors

Neuman was named the Outstanding Teacher in 2001 in the College of Science at

. Neuman worked as a Validator for the original release and publication of the

National Institute of Standards and Technology The National Institute of Standards and Technology (NIST) is an agency of the United States Department of Commerce whose mission is to promote American innovation and industrial competitiveness. NIST's activities are organized into Outline of p ...

(NIST) Handbook and

Digital Library of Mathematical Functions Digital usually refers to something using discrete digits, often binary digits. Businesses *Digital bank, a form of financial institution *Digital Equipment Corporation (DEC) or Digital, a computer company *Digital Research (DR or DRI), a software ...

. He serves on the Editorial Boards of the Journal of Inequalities in Pure and Applied Mathematics, the Journal of Inequalities and Special Functions, and Journal of Mathematical Inequalities.

Selected works

The most frequently cited works by Neuman include: * "On the Schwab–Borchardt mean" ''Math Pannon'' 14(2) (2003), 253–266. * "On the Schwab–Borchardt mean II" ''Math Pannon'' 17(1) (2006), 49–59. * "The weighted logarithmic mean" ''J. Math. Anal. Appl.'' 188 (1994), 885–900.

References

External links