Todd Arbogast, Jerry L. Bona

Gebundenes Buch

Functional Analysis for the Applied Mathematician

Beschreibung

Functional Analysis for the Applied Mathematician is a self-contained volume providing a rigorous introduction to functional analysis and its applications. Students from mathematics, science, engineering, and certain social science and interdisciplinary programs will benefit from the material. It is accessible to graduate and advanced undergraduate students with a solid background in undergraduate mathematics and an appreciation of mathematical rigor. Students are called upon to actively engage with the material, to the point of proving some of the basic results or their straightforward generalizations, both within the text and within the generous set of exercises.

Features:
Replete with exercises and examplesSuitable for graduate students and advanced undergraduatesDevelops the basics of functional analysis, exploring the interplay between algebraic linear space theory and topologyPresents a variety of applications, often dealing with partial differential equationsand their numerical approximationDoubles as a reference book with an extensive index listing the concepts and results

Autor

Todd Arbogast, Professor of Mathematics, born December 9, 1957. He earned his Ph.D. from the University of Chicago in 1987 under the direction of Professor Jim Douglas, Jr. He has held faculty positions at Purdue University, Rice University, and the University of Texas at Austin, where he is a core member of the Oden Institute for Computational Engineering and Sciences. He is a Fellow of both the American Mathematical Society and the Society for Industrial and Applied Mathematics. His research contributes to the development and analysis of numerical algorithms for the approximation of partial differential systems, homogenization and multiscale modeling, and scientific computation, as well as applications of the same to the modeling and simulation of multiphase flow and transport through geologic porous media. Jerry L. Bona, Professor of Mathematics, Statistics & Computer Science, was born on February 5, 1945. He earned his Ph.D. in 1971 from Harvard University under the supervision of Professor Garrett Birkhoff. His early work in the Fluid Mechanics Research Institute at the University of Essex with Professors Brooke Benjamin and J. J. Mahony resulted in a model equation for long waves in non-linear dispersive systems, known as the Benjamin-Bona-Mahony equation. He has held faculty positions at the University of Chicago, the Pennsylvania State University, the University of Texas at Austin, and the University of Illinois at Chicago. He is a fellow of the American Mathematical Society, the Society for Industrial and Applied Mathematics, the Centre de Recherche Mathématiques of the Université de Montréal, and the American Association for the Advancement of Science. His research is in fluid mechanics, oceanography, coastal engineering, mathematical aspects of biology, mathematical economics, and the associated theory of partial differential equations, computational mathematics, and numerical analysis.

Produktdetails

• Textbooks in Mathematics
• Verlag: Taylor & Francis; Chapman And Hall/Crc
• Seitenzahl: 426
• Erscheinungstermin: 20. Februar 2025
• Englisch
• Abmessung: 240mm x 161mm x 27mm
• Gewicht: 744g
• ISBN-13: 9781032791562
• ISBN-10: 103279156X
• Artikelnr.: 71686632

Rezensionen

"Exceptionally well written, organized and presented, Functional Analysis for the Applied Mathematician by Professors Todd Arbogast and Jerry L. Bona is an ideal textbook and unreservedly recommended for college/university library Applied Mathematics collections and supplemental Mathematics curriculum studies lists."

--Midwest Book Review