Avner Friedman ( he, אבנר פרידמן; born November 19, 1932) is Distinguished Professor of

Mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...

and Physical Sciences at

Ohio State University The Ohio State University, commonly called Ohio State or OSU, is a public land-grant research university in Columbus, Ohio. A member of the University System of Ohio, it has been ranked by major institutional rankings among the best publ ...

. His primary field of research is

partial differential equations In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to ...

, with interests in

stochastic processes In probability theory and related fields, a stochastic () or random process is a mathematical object usually defined as a family of random variables. Stochastic processes are widely used as mathematical models of systems and phenomena that appe ...

mathematical modeling A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, b ...

free boundary problem In mathematics, a free boundary problem (FB problem) is a partial differential equation to be solved for both an unknown function u and an unknown domain \Omega. The segment \Gamma of the boundary of \Omega which is not known at the outset of the p ...

s, and

control theory Control theory is a field of mathematics that deals with the control of dynamical systems in engineered processes and machines. The objective is to develop a model or algorithm governing the application of system inputs to drive the system to a ...

. Friedman received his Ph.D. degree in 1956 from the

Hebrew University The Hebrew University of Jerusalem (HUJI; he, הַאוּנִיבֶרְסִיטָה הַעִבְרִית בִּירוּשָׁלַיִם) is a public research university based in Jerusalem, Israel. Co-founded by Albert Einstein and Dr. Chaim Weiz ...

. He was a professor of mathematics at

Northwestern University Northwestern University is a private research university in Evanston, Illinois. Founded in 1851, Northwestern is the oldest chartered university in Illinois and is ranked among the most prestigious academic institutions in the world. Charte ...

(1962–1985), a Duncan Distinguished Professor of Mathematics at

Purdue University Purdue University is a public land-grant research university in West Lafayette, Indiana, and the flagship campus of the Purdue University system. The university was founded in 1869 after Lafayette businessman John Purdue donated land and money ...

(1985–1987), and a professor of mathematics (Regents' Professor from 1996) at the

University of Minnesota The University of Minnesota, formally the University of Minnesota, Twin Cities, (UMN Twin Cities, the U of M, or Minnesota) is a public university, public Land-grant university, land-grant research university in the Minneapolis–Saint Paul, Tw ...

(1987–2001). He was director of the Institute for Mathematics and its Applications from 1987 to 1997. He was the founding director o
Minnesota Center for Industrial Mathematics
(1994-2001). He was the founding Director of the

Mathematical Biosciences Institute The Mathematical Biosciences Institute (MBI) is an institution of higher learning affiliated with the Ohio State University in Columbus, Ohio. MBI received major funding from the National Science Foundation. History Under the leadership of fou ...

, serving as its first director from 2002–2008. Friedman has been the Chair of the Board of Mathematical Sciences (1994–1997) and the President of the

Society for Industrial and Applied Mathematics Society for Industrial and Applied Mathematics (SIAM) is a professional society dedicated to applied mathematics, computational science, and data science through research, publications, and community. SIAM is the world's largest scientific socie ...

(1993–1994). He has been awarded the

Sloan Fellowship The Sloan Research Fellowships are awarded annually by the Alfred P. Sloan Foundation since 1955 to "provide support and recognition to early-career scientists and scholars". This program is one of the oldest of its kind in the United States. ...

(1962–65), the

Guggenheim Fellowship Guggenheim Fellowships are grants that have been awarded annually since by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the ar ...

(1966–7), the Stampacchia Prize (1982), the

National Science Foundation The National Science Foundation (NSF) is an independent agency of the United States government that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National I ...

Special Creativity Award (1983–85; 1991–93). He is a Fellow of the

American Academy of Arts and Sciences The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and ...

(since 1987) and a member of the

National Academy of Sciences The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the Nati ...

(since 1993). In 2009 he became a Fellow of the

. In 2012 he became a fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

. He has been adviser to 27 doctoral students and has published 25 books and over 500 papers.

Works

# Generalized Functions and Partial Differential Equations.

Prentice-Hall Prentice Hall was an American major educational publisher owned by Savvas Learning Company. Prentice Hall publishes print and digital content for the 6–12 and higher-education market, and distributes its technical titles through the Safari B ...

(1963). Dover Publications 2005
2011 Dover reprint
# Partial Differential Equations of Parabolic Type. Prentice-Hall (1964). 2008 Dover Publications
2013 Dover reprint
# Partial Differential Equations.

Holt, Rinehart, and Winston Holt McDougal is an American publishing company, a division of Houghton Mifflin Harcourt, that specializes in textbooks for use in high schools. The Holt name is derived from that of U.S. publisher Henry Holt (1840–1926), co-founder of the e ...

, New York (1969)
reprint Dover Books 2008
# Foundations of Modern Analysis. Holt, Rinehart, and Winston, New York (1970). (hbk)
1982 Dover reprint
Dover Publications on Mathematics 2010. # Advanced Calculus. Holt, Rinehart, and Winston, New York (1971). Dover Publications 2007 # Differential Games. John Wiley, Interscience Publishers (1971). Dover Publications 2006
2013 Dover reprint
# Stochastic Differential Equations and Applications. Vol. 1, Academic Press (1975). Dover Books 2006. # Stochastic Differential Equations and Applications. Vol. 2,

Academic Press Academic Press (AP) is an academic book publisher founded in 1941. It was acquired by Harcourt, Brace & World in 1969. Reed Elsevier bought Harcourt in 2000, and Academic Press is now an imprint of Elsevier. Academic Press publishes reference ...

(1976). # Variational Principles and Free Boundary Problems, Wiley & Sons (1983). Dover Publications on Mathematics 2010
2012 pbk reprint, Springer
# Mathematics in Industrial Problems, IMA Volume 16,

Springer-Verlag Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in ...

(1988). # Mathematics in Industrial Problems, Part 2, IMA Volume 24, Springer-Verlag (1989)
2012 pbk reprint
# Mathematics in Industrial Problems, Part 3, IMA Volume 31, Springer-Verlag (1990). # Mathematics in Industrial Problems, Part 4, IMA Volume 38, Springer-Verlag (1991)
2012 pbk reprint
# Mathematics in Industrial Problems, Part 5, IMA Volume 49, Springer-Verlag (1992).
2012 pbk reprint
# Mathematics in Industrial Problems, Part 6, IMA Volume 57, Springer-Verlag (1993). # (with W. Littman) Problems in Industrial Mathematics, SIAM, Philadelphia (1994). # Mathematics in Industrial Problems, Part 7, IMA Volume 67, Springer-Verlag (1994). # Mathematics in Industrial Problems, Part 8, IMA Volume 83, Springer-Verlag (1996).
Mathematics in Industrial Problems, Part 9
IMA Volume 88, Springer-Verlag (1997). # Mathematics in Industrial Problems, Part 10, IMA Volume 100, Springer-Verlag (1998). # (with D. Ross) Mathematical Models in Photographic Science, Springer-Verlag (2002). # (with B. Aguda) Models of Cellular Regulation, Oxford University Press, 2008. # (with Chiu-Yen Kao). Mathematical Modeling with Biological Processes. Springer. 2014 # (with Ching-Shan Chou) Introduction to Mathematical Biology: Modeling, Analysis, and Simulations. Springer-Verlag 2016 # Mathematical Biology: Modeling and Analysis. American Mathematical Society. 2018

References

External links

Avner Friedman's Web Page

Avner Friedman Short Curriculum Vitae
{{DEFAULTSORT:Friedman, Avner 20th-century American mathematicians 21st-century American mathematicians PDE theorists Members of the United States National Academy of Sciences Ohio State University faculty Fellows of the American Academy of Arts and Sciences Fellows of the Society for Industrial and Applied Mathematics Fellows of the American Mathematical Society American expatriates in Israel 20th-century American Jews Living people 1932 births Presidents of the Society for Industrial and Applied Mathematics 21st-century American Jews