Customer Reviews

Schaum's Outline of Theory and Problems of Real Variables; Lebesgue Measure and Integration With Applications to Fourier Series,

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Like the other books of the Schaum's Outline series, this book goes through the theories and shows you how to work the problems step by step. Although this is very helpful, I like to be able to test my knowledge. I say this is good for review because you will remember as you read this. You will also have a good idea of whether you are doing the supplementary problems correct or not. Here, most the supplementary problems do not have answers. Those that do, just have the final answer rather than an illustration of how the writers got the answer. This is difficult if you are learning about real variables for the first time.

As well as giving you the basic concepts, this book also goes into Lebesgue integrals, Riemann integrals, and Fourier series. The explanations are fairly well written, and the examples are easy to follow.

This book contains the standard 1st year graduate material on Real Analysis.A very solid background in undergraduate analysis is required to get started in reading and working through this book.In the United States one rarely finds a graduate level math textbook with solved problems unfortunately.This interesting book is one of the few exceptions to this rule.The 375 solved problems in this outline are most instructive and an essential tool for anybody that truly wants to understand what is really going on in this difficult subject.There is also plenty of supplementary problems for the reader to try on his/her own.One of the most interesting aspects of this book is the development of the Lebesgue Integral in terms of Upper and Lower sums .Too often people do not understand the more abstract definition given in just about all other textbooks.This definition is parallel with that of the Riemann Integral from undergratuate anaylsis.This book is a true gem and a rare find.