From vector spaces to function spaces : introduction to functional analysis with applications
Yamamoto, Yutaka
From vector spaces to function spaces : introduction to functional analysis with applications by Yutaka Yamamoto - Noida : Universities Press, ©2012 - xiv, 268 p. : ill. ; 27 cm.
Includes bibliographical references and index.
1. Vector Spaces Revisited 2. Normed Linear Spaces and Banach Spaces 3. Inner Product and Hilbert Spaces 4. Dual Spaces 5.The Space £(X,Y) of Linear Operators 6. Schwartz Distributions 8. Laplace Transform 9. Hardy Spaces 10. Applications to Systems and Control
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.
9789386235343
Mathematics
Applied Mathematics
515.7 / YAM-F
From vector spaces to function spaces : introduction to functional analysis with applications by Yutaka Yamamoto - Noida : Universities Press, ©2012 - xiv, 268 p. : ill. ; 27 cm.
Includes bibliographical references and index.
1. Vector Spaces Revisited 2. Normed Linear Spaces and Banach Spaces 3. Inner Product and Hilbert Spaces 4. Dual Spaces 5.The Space £(X,Y) of Linear Operators 6. Schwartz Distributions 8. Laplace Transform 9. Hardy Spaces 10. Applications to Systems and Control
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.
9789386235343
Mathematics
Applied Mathematics
515.7 / YAM-F