{{Short description|Polish-American mathematician}} {{Infobox scientist | name = Edward Neuman | image = Edward Neuman (EdN).jpg | caption = | birth_name = Edward Jerzy Neuman | birth_date = September 19, 1943 | birth_place = Rydułtowy, Poland | death_date = | death_place = | ethnicity = | field = Mathematician and mathematics professor | work_institutions = Southern Illinois University | alma_mater = University of Wrocław | doctoral_advisor = wmpl:Stefan Paszkowski | doctoral_students = | known_for = Neuman–Sándor mean and Neuman means | religion = }} '''Edward Neuman''' (born September 19, 1943<ref name="dlmf">{{cite web|url=http://dlmf.nist.gov/about/bio/ENeuman|title=DLMF: Edward Neuman}}</ref> in Rydułtowy, Silesian Voivodeship, Poland)<ref>{{cite web|url=http://www.rydultowy.pl|title=Portal|first=CONCEPT Intermedia|last=www.sam3.pl}}</ref> is a Polish-American mathematician, currently a professor emeritus of mathematics at Southern Illinois University Carbondale.<ref>{{Cite web|url=http://math.siu.edu/faculty-staff/emeritus/neuman.php|title = Edward Neuman &#124; Mathematics &#124; SIU}}</ref>

==Academic career== Neuman received his Ph.D. in mathematics from the University of Wrocław in 1972<ref>{{cite web|url=http://lagrange.math.siu.edu/Neuman/biograph.html|title=Biographical}}</ref> under the supervision of wmpl:Stefan Paszkowski.<ref>{{cite web|url=https://www.genealogy.math.ndsu.nodak.edu/id.php?id=61725|title=Stefan Paszkowski – The Mathematics Genealogy Project}}</ref> 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,<ref>{{cite web|url=https://international.uni.wroc.pl/en/faculty-mathematics-and-computer-science|title=Faculty of Mathematics and Computer Science - University of Wrocław}}</ref> and the Institute of Applied Mathematics Bonn<ref>{{cite web|url=https://www.iam.uni-bonn.de/|title=Institute for applied mathematics: Home}}</ref> in Germany. In 1986, he took a permanent faculty position at Southern Illinois University.

==Contributions== Neuman has contributed 130 journal articles<ref name="gcites">{{cite web|url=https://scholar.google.com/citations?user=g1vYgh4AAAAJ&hl=en|title=Edward Neuman – Google Scholar Citations}}</ref> in computational mathematics and mathematical inequalities such as the Ky Fan inequality, on bivariate means,<ref>{{cite journal|title=Note on certain inequalities for Neuman means|first1=Shu-Bo|last1=Chen|first2=Zai-Yin|last2=He|first3=Yu-Ming|last3=Chu|first4=Ying-Qing|last4=Song|first5=Xiao-Jing|last5=Tao|journal=Journal of Inequalities and Applications|date=25 September 2014|volume=2014|issue=1|page=370|doi=10.1186/1029-242x-2014-370|arxiv=1405.4387|s2cid=55843711 |doi-access=free }}</ref> and mathematical approximations and expansions. Neuman also developed software for computing with spline functions<ref>{{cite web|url=http://library.wolfram.com/infocenter/MathSource/724|title=Spline Functions – from Wolfram Library Archive}}</ref> and wrote several tutorials for the MATLAB programing software.<ref>{{Cite web|url=http://lagrange.math.siu.edu/Neuman/tuts.html|title = Tutorials}}</ref> 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 including Jacobi elliptic functions: * The Neuman–Sándor mean<ref>{{cite journal|title=Optimal bounds for Neuman–Sándor mean in terms of the geometric convex combination of two Seiffert means|first1=Hua-Ying|last1=Huang|first2=Nan|last2=Wang|first3=Bo-Yong|last3=Long|journal=Journal of Inequalities and Applications|date=8 January 2016|volume=2016|issue=1|doi=10.1186/s13660-015-0955-2|doi-access=free}}</ref> * The Neuman Means of the first kind<ref>{{cite web|url=http://jmi.ele-math.com/10-47/Sharp-Lehmer-mean-bounds-for-Neuman-means-with-applications|title=Ele-Math – Journal of Mathematical Inequalities: Sharp Lehmer mean bounds for Neuman means with applications}}</ref> * The Neuman Means of the second kind<ref>{{cite web|url=http://jmi.ele-math.com/09-46/Sharp-inequalities-involving-Neuman-means-of-the-second-kind|title=Ele-Math – Journal of Mathematical Inequalities: Sharp inequalities involving Neuman means of the second kind}}</ref>

==Awards and honors== Neuman was named the Outstanding Teacher in 2001 in the College of Science at Southern Illinois University Carbondale. Neuman worked as a Validator<ref name="dlmf"/> for the original release and publication of the National Institute of Standards and Technology (NIST) Handbook and Digital Library of Mathematical Functions. He serves on the Editorial Boards of the Journal of Inequalities in Pure and Applied Mathematics,<ref>{{cite web|url=https://www.emis.de/journals/JIPAM/editors.html|title=JIPAM – Journal of Inequalities in Pure and Applied Mathematics}}</ref> the Journal of Inequalities and Special Functions,<ref>{{cite web|url=http://91.187.98.171/ilirias/jiasf/editorial.html|title=Journal of Inequalities and Special Functions|access-date=2016-10-11|archive-url=https://web.archive.org/web/20151025165416/http://91.187.98.171/ilirias/jiasf/editorial.html|archive-date=2015-10-25|url-status=dead}}</ref> and Journal of Mathematical Inequalities.<ref>{{cite web|url=http://jmi.ele-math.com/editorial|title=Ele-Math – Journal of Mathematical Inequalities: Editorial board}}</ref>

==Selected works== The most frequently cited works by Neuman include: * "On the Schwab–Borchardt mean" ''Math Pannon'' 14(2) (2003), 253–266.<ref>{{cite journal|url=http://www.kurims.kyoto-u.ac.jp/EMIS/journals/MP/index_elemei/mp14-2/mp14-2-253-266.pdf |title=On the Schwab–Borchardt mean|journal=Math Pannon}}</ref> * "On the Schwab–Borchardt mean II" ''Math Pannon'' 17(1) (2006), 49–59.<ref>[https://www.researchgate.net/profile/Edward_Neuman/publication/251345676_On_the_Schwab-Borchardt_mean_II/links/00b7d5268281455553000000.pdf On the Schwab–Borchardt mean II]</ref> * "The weighted logarithmic mean" ''J. Math. Anal. Appl.'' 188 (1994), 885–900.<ref>{{cite journal|title=The Weighted Logarithmic Mean|first=E.|last=Neuman|journal=Journal of Mathematical Analysis and Applications|date=1 December 1994|volume=188|issue=3|pages=885–900|doi=10.1006/jmaa.1994.1469|doi-access=free}}</ref>

==See also== * List of Polish mathematicians

==References== {{Reflist}}

==External links== * [http://lagrange.math.siu.edu/Neuman/personal.html Web page at Southern Illinois University Carbondale] * [http://lagrange.math.siu.edu/Neuman Departmental web page for Neuman at Southern Illinois University] * {{MathGenealogy|id=15879}} * {{WorldCat|id=161242499|name=Edward Neuman}}

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{{DEFAULTSORT:Neuman, Edward}} Category:Polish mathematicians Category:People from Silesian Voivodeship Category:Southern Illinois University Carbondale faculty Category:1943 births Category:Living people Category:University of Wrocław alumni Category:Academic staff of the University of Wrocław