Synopses & Reviews
Professors Aliprantis and Burkinshaw's
Problems in Real Analysis, 2nd Edition, is designed to equip the reader with the tools to succeed in the real Analysis course. Published as a companion to their successful
Principles of Real Analysis, 3rd Edition, this book teaches the basic methods of proof and problem-solving by presenting the complete solutions to over 600 problems that appeal in
Principles of Real Analysis. The problem sets cover the entire spectrum of difficulty: some are routine, some require a good grasp of the material involved, and some are exceptionally challenging.
This is the first book to offer complete solutions to graduate level problems in real analysis. It is ideal for all under graduate and first-year graduate analysis courses. Students and scholars from all branches of science and engineering will also find this collection of problems an invaluable reference source.
Synopsis
A collection of problems and solutions in real analysis based on the major textbook,
Principles of Real Analysis (also by Aliprantis and Burkinshaw),
Problems in Real Analysis is the ideal companion for senior science and engineering undergraduates and first-year graduate courses in real analysis. It is intended for use as an independent source, and is an invaluable tool for students who wish to develop a deep understanding and proficiency in the use of integration methods.
Problems in Real Analysis teaches the basic methods of proof and problem-solving by presenting the complete solutions to over 600 problems that appear in Principles of Real Analysis, Third Edition. The problems are distributed in forty sections, and cover the entire spectrum of difficulty.
Synopsis
ns to graduate level problems in real analysis. It is ideal for all under graduate and first-year graduate analysis courses. Students and scholars from all branches of science and engineering will also find this collection of problems an invaluable reference source.
Table of Contents
Fundamentals of Real Analysis
Topology and Continuity
The Theory of Measure
The Lebesgue Integral
Normed Spaces and Lp-Spaces
Hilbert Spaces
Special Topics in Integration