Functional Analysis for Mathematical Sciences
Masaki Izumi
Gebundenes Buch

Functional Analysis for Mathematical Sciences

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This book is a clear and structured introduction to functional analysis, designed for undergraduate students in the mathematical sciences. Based on third- and fourth-year lecture courses at Kyoto University, it guides readers through the foundational concepts of infinite-dimensional vector spaces and linear operators. The presentation closely follows the flow of actual lectures, preserving the atmosphere of classroom learning and making complex ideas more approachable.The first part of the book focuses on standard topics such as normed spaces, Banach and Hilbert spaces, and bounded linear oper...