
Problems in Real and Functional Analysis
Alberto Torchinsky(Author)
American Mathematical Society (Publisher)
Published on 30. December 2015
Book
Hardback
467 pages
978-1-4704-2057-4 (ISBN)
Description
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 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.
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.
Reviews / Votes
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
More details
Series
Language
English
Place of publication
Providence
United States
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
980 gr
ISBN-13
978-1-4704-2057-4 (9781470420574)
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Schweitzer Classification
Person
Alberto Torchinsky, Indiana University, Bloominton, IN, USA.
Content
Problems: 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
Index
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
Index