Functional Analysis presents an original approach to a field that first appeared in the beginning of last century in old mathematical fields like variational calculus, theory of partial differential equations, numerical analysis and theory of integral equations. Functional analysis can be considered as a generalization and a geometrical interpretation of the mathematical analysis (calculus).
- Presents an original approach to functional analysis
- Helps readers determine and interpret the different facets of mathematical analysis (calculation)
- Explains older mathematical domains (variational calculus, the theory of partial differential equations, numerical analysis and the theory of integral equations)
Undergraduate and graduate students in Mathematics; Computational Mechanics and Engineering
- No. of pages:
- © ISTE Press - Elsevier 2020
- 1st December 2020
- ISTE Press - Elsevier
- Hardcover ISBN:
Frederic Magoules graduated with a B.Sc. in Engineering Sciences in 1993, a M.Sc. in Applied Mathematics in 1994 and a M.Sc. in Numerical Analysis in 1995, from Universite Pierre & Marie Curie. He received his Ph.D. in Applied Mathematics from Universite Pierre Marie Curie in 2000. He then post-doc'ed and taught there for one year, as Assistant Professor of Numerical Analysis, prior to joining Universite Henri Poincare in 2000 as Assistant and then Associate Professor of Applied Mathematics and Engineering. He received his HDR (Habilitation a Diriger des Recherches) from Universite Pierre & Marie Curie in 2005. He joined Ecole Centrale des Arts et Manufactures in 2006 as Professor of Applied Mathematics (in 2015, Ecole Centrale des Arts et Manufactures merged with Supelec and became CentraleSupelec, Universite Paris-Saclay). With backgrounds in Computational Science and Engineering, Applied Mathematics, Computer Science, and consulting experience with industry and national laboratories, Frederic Magoules works at the algorithmic interface between parallel computing and the numerical analysis of partial differential equations and algebraic differential equations. Frederic Magoules and his research group design, analyze, develop, and validate mathematical models and computational methods for the high-performance simulation of multidisciplinary scientific and engineering problems. Author or co-author of over 150 refeered publications in Computational Science and Engineering, Applied Mathematics, and Computer Science, Frederic Magoules has authored 11 books, and edited 9 books.
Ecole Centrale de Paris, France
Anna Rozanova-Pierrat is assistant professor in Applied Mathematics at École Centrale Paris.Her research areas include mathematical physics involving the models governed by partial different equations. She specializes in the theory behind inverse problems, equations of non-linear acoustics and diffusion problems on fractals, which are also subjects of her 10 scientific publications
Assistant Professor, CentraleSupelec, France