This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physics and engineering problems. The book includes intro…
This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physics and engineering problems. The book includes intro…
This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physics and engineering problems. The book includes intro…
Cover -- Title Page -- Copyright Page -- Preface -- Acknowledgements -- Table of Contents -- Section I: Functional Analysis -- 1. Metric Spaces -- 1.1 Introduction -- 1.2 The main definitions -- 1.2.1 The space l∞ -- 1.2.2 Discrete metric -- 1.2.3 The metric space s -- 1.2.4 The…
Metric spaces -- Topological vector spaces -- Hilbert spaces -- The Hahn-Banach theorems and the weak topologies -- Topics on linear operators -- Spectral analysis, a general approach in normed spaces -- Basic results on measure and integration -- The Lebesgue measure in Rn -- O…
