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Problems in real and functional analysis

By: Torchinsky, Alberto.
Series: Graduate studies in mathematics ; volume 166.Publisher: 2022 American Mathematical Society, ProvidenceDescription: x, 467 p. ; ill., 24 cm.ISBN: 9789393330239.Subject(s): Functional analysis | Conceptual problems | Banach space | Borel measure | Bounded linear function | Continuous function | Discuss the validity | Hamel basis | Hilbert space | Holder's inequality | Lebesgue measure | Measurable function | Measure space | Normal linear space | Probability measureDDC classification: 515.7 Summary: It is generally believed that solving problems is the most important part of the learning process in mathematics because it forces students to truly understand the definitions, comb through the theorems and proofs, and think at length about the mathematics. The purpose of this book is to complement the existing literature in introductory real and functional analysis at the graduate level with a variety of conceptual problems (1,457 in total), ranging from easily accessible to thought provoking, mixing the practical and the theoretical aspects of the subject. Problems are grouped into ten chapt.
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Books 515.7 TOR (Browse shelf) Available 033874

Includes bibliographical references and index.

It is generally believed that solving problems is the most important part of the learning process in mathematics because it forces students to truly understand the definitions, comb through the theorems and proofs, and think at length about the mathematics. The purpose of this book is to complement the existing literature in introductory real and functional analysis at the graduate level with a variety of conceptual problems (1,457 in total), ranging from easily accessible to thought provoking, mixing the practical and the theoretical aspects of the subject. Problems are grouped into ten chapt.

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