Buch, Englisch, 213 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 3518 g
Reihe: Cornerstones
Fundamentals and Applications
Buch, Englisch, 213 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 3518 g
Reihe: Cornerstones
ISBN: 978-1-4899-8794-5
Verlag: Springer
The goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of Functional Analysis: Fundamentals and Applications describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: Lebesgue spaces, dual spaces and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szego and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional analysis, in relation with integration and differentiation. Starting from elementary analysis and introducing relevant recent research, this work is an excellent resource for students in mathematics and applied mathematics.
Zielgruppe
Graduate
Autoren/Hrsg.
Weitere Infos & Material
Preface.- The Integral.- Norm.- Lebesgue Spaces.- Duality.- Sobolev Spaces.- Capacity.- Elliptic Problems.- Appendix.- Epilogue.- References.- Index of Notations.- Index.
