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OverviewIt 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 chapters covering the main topics usually taught in courses on real and functional analysis. Each of these chapters opens with a brief reader's guide stating the needed definitions and basic results in the area and closes with a short description of the problems. The Problem chapters are accompanied by Solution chapters, which include solutions to two-thirds of the problems. Students can expect the solutions to be written in a direct language that they can understand; usually the most ``natural'' rather than the most elegant solution is presented. Full Product DetailsAuthor: Alberto TorchinskyPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.980kg ISBN: 9781470420574ISBN 10: 1470420570 Pages: 467 Publication Date: 30 December 2015 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Not yet available  This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release. Table of ContentsProblems: Set theory and metric spaces Measures Lebesgue measure Measurable and integrable functions $L^p$ spaces Sequences of functions Product measures Normed linear spaces Functionals Normed linear spaces Linear operators Hilbert spaces IndexReviewsThe book is written in a very clear style and is very useful for graduate students to extend their vision of real and functional analysis. -Mohammad Sal Moslehian, Zentralblatt MATH "The book is written in a very clear style and is very useful for graduate students to extend their vision of real and functional analysis."" —Mohammad Sal Moslehian, Zentralblatt MATH" Author InformationAlberto Torchinsky, Indiana University, Bloominton, IN, USA. Tab Content 6Author Website:Countries AvailableAll regions |
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