From vector spaces to function spaces : introduction to functional analysis with applications / Yutaka Yamamoto
Material type: TextPublication details: India Universities Press 2012Description: 268 pISBN:- 9789386235343
- 515.7 YAM-Y
Item type | Current library | Collection | Shelving location | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|---|
Books | BITS Pilani Hyderabad | 510 | General Stack (For lending) | 515.7 YAM-Y (Browse shelf(Opens below)) | Checked out | 30/04/2024 | 36629 |
This book provides a treatment of analytical methods of applied mathematics. It starts with a review of the basics of vector spaces and brings the reader to an advanced discussion of applied mathematics, including the latest applications to systems and control theory. The text is designed to be accessible to those not familiar with the material and useful to working scientists, engineers, and mathematics students. The author provides the motivations of definitions and the ideas underlying proofs but does not sacrifice mathematical rigor.
It presents:
an easily accessible discussion of analytical methods of applied mathematics from vector spaces to distributions, Fourier analysis, and Hardy spaces with applications to system theory;
an introduction to modern functional analytic methods to better familiarize readers with basic methods and mathematical thinking; and
an understandable yet penetrating treatment of such modern methods and topics as function spaces and distributions, Fourier and Laplace analyses, and Hardy spaces.
Keywords: vector spaces, distributions, Fourier analysis, and Hardy spaces, functional analytic methods, systems and control theory
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