Background
Markus, Lawrence was born on October 13, 1922 in Hibbing, Minnesota, United States. Son of Benjamin and Ruby (Friedman) Markus.
(This extensively revised and expanded edition of Lectures...)
This extensively revised and expanded edition of Lectures in Differentiable Dynamics, first published in 1971, provides an authoritative exposition of the central results of this fundamental and rapidly developing mathematical subject, starting from simple engineering systems and proceeding to current research topics concerning differentiable flows on manifolds. The original version of this monograph culminates in the research results of the 1960s, enphasizing the concepts of structural stability and generic dynamics--with references to Morse-Smale and Anosov hyperbolic differential systems. In the new edition there appears a general updating to cover research of the past decade through 1980, with a major supplemental Appendix reviewing the modern developments under five basic areas: I. Nonlinear Oscillations, II. Diffeomorphisms and Foliations, III. General Theory--Dissipative Dynamics, IV. General Theory--Conservative Dynamics, V. Chaos, Catastrophe, and Multi-Valued Trajectories. There is also an extensive bibliography, including special listings of important mathematical conferences, major survey articles, and current research articles.
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Markus, Lawrence was born on October 13, 1922 in Hibbing, Minnesota, United States. Son of Benjamin and Ruby (Friedman) Markus.
Bachelor of Science, University Chicago, 1942. Master of Science, University Chicago, 1946. Doctor of Philosophy, Harvard University, Cambridge, Massachusetts, 1951.
Instructor meteorology, University of Chicago, 1942-1944;
research meteorologist, Atomic Project, Hanford, 1944;
instructor mathematics, Harvard University, 1951-1952;
instructor, Yale University, 1952-1955;
lecturer, Princeton University, 1955-1957;
assistant professor, University of Minnesota, Minneapolis, 1957-1958;
associate professor, University of Minnesota, Minneapolis, 1958-1960;
professor mathematics, University of Minnesota, Minneapolis, 1960-1993;
associate department chairman mathematics, University of Minnesota, Minneapolis, 1961-1963;
director control science, University of Minnesota, Minneapolis, 1964-1973;
Regents' professor mathematics, University of Minnesota, Minneapolis, 1980-1993;
Regents' professor emeritus, University of Minnesota, Minneapolis, since 1993;
director Control Science and Dynamical Sys. Center, University of Minnesota, 1980-1989. Leverhulme professor control theory, director control theory center U. Warwick, England, 1970-1973, Nuffield professor mathematics, 1970-1985, honorary professor, since 1985.
Regional conference lecturer National Science Foundation, 1969. Visiting professor Yale University, Columbia University, University of California, U. Warsaw, 1980, Technology Institute Zurich, 1983, Peking U. (China), 1983. Director conference International Center Mathematics Trieste, 1974.
Lecturer International Mathematics Congress, 1974, Iranian Mathematics Society, 1975, British Mathematics Society, 1976, Japan Society for Promotion of Science, 1976, Royal Institution, London, 1982, U. Beer Sheva, Israel, 1983. Visiting professor U. Tokyo, 1976, Technology U., Denmark, 1979. Member panel International Congress Mathematicians, Helsinki, 1978.
Senior visiting fellow Science Research Council, Imperial College, London, 1978. Member United Nations Educational, Scientific and Cultural Organization science advising committee Control Symposium, U. Strasbourg, France, 1980. Institute of Electrical and Electronics Engineers Plenary lecturer, Orlando, Florida, 1982.
Science and Engineering Research Council visiting professor U. Warwick, England, 1982-1990. Neustadt Memorial lecturer University of Southern California, 1985, principal lecturer symposium University of Minnesota, 1988, director National Science Foundation workshop, 1989, principal lecturer symposium in honor of his 75th birthday,1997. Tate lecturer U. Cincinnati, 1998.
Member of advisory board Office Naval Research, Air Force Office Science Research.
(This extensively revised and expanded edition of Lectures...)
(Russian translation of 'Foundations of Optimal Control Th...)
(Book by Lawrence Markus)
(Book)
Lieutenant (junior grade) United States Naval Reserve, 1944-1946. Fellow Royal Society Edinburgh (honorary). Member American Mathematics Society (past member national council), American Geophysical Society, Society Industrial and Applied Mathematics (past national lecturer), Phi Beta Kappa, Sigma Xi.
Married Lois Shoemaker, December 9, 1950. Children: Sylvia, Andrew.