Background
Bender, Carl Martin was born on January 18, 1943 in Brooklyn. Son of Alfred and Rose (Suberman) Bender.
(A clear, practical and self-contained presentation of the...)
A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.
http://www.amazon.com/gp/product/0387989315/?tag=2022091-20
(A clear, practical and self-contained presentation of the...)
A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.
http://www.amazon.com/gp/product/1441931872/?tag=2022091-20
Bender, Carl Martin was born on January 18, 1943 in Brooklyn. Son of Alfred and Rose (Suberman) Bender.
AB summa cum laude with distinction, Cornell Univercity, 1964; AM, Harvard University, 1965; Doctor of Philosophy, Harvard University, 1969.
Member Institute for Advanced Study, Princeton, New Jersey, 1969-1970. Assistant professor mathematics Massachusetts Institute of Technology, Cambridge, 1970-1973, associate professor, 1973-1977. Professor physics Washington University, St. Louis, 1977—2007, Wilfred R. and Annlee Konneker distinguished professor physics, since 2008.
Research associate Imperial College, London, 1974. Consultant Los Alamos National Laboratory, since 1979. Visiting professor Imperial College, London, 1986-1987, 95-96, 2003-2004, 06-, Technion Israel Institute of Technology, Haifa, 1995.
Visiting professor department mathematics Imperial College, London, since 2006.
(A clear, practical and self-contained presentation of the...)
(A clear, practical and self-contained presentation of the...)
Trustee Center for Theoretical Study of Physical Systems, Clark Atlanta University. Fellow: Institute of Physics (United Kingdom), St. Louis Academy of Sciences, American Physical Society (vice chairman Danny Heineman prize selection committee, chairman Danny Heineman prize selection committee). Member: Association Members Institute Advanced Study (trustee), Phi Kappa Phi, Phi Beta Kappa.
Married Jessica Dee Waldbaum, June 18, 1966. Children— Michael Anthony, Daniel Eric.