Real Analysis and Foundations (Textbooks in Mathematics)

Real Analysis and Foundations (Textbooks in Mathematics)

<P>The first three editions of this popular textbook attracted</P> <P>a loyal readership and widespread use. Students find the book to be concise, accessible, and</P> <P>complete. Instructors find the book to be clear, authoritative, and dependable.</P> <P></P> <P>The goal of this new edition is to make real analysis relevant and accessible</P> <P>to a broad audience of students with diverse backgrounds. Real analysis </P> <P>is a basic tool for all mathematical scientists, ranging from mathematicians to physicists to</P> <P>engineers to researchers in the medical profession. This text aims to be the</P> <P>generational touchstone for the subject and the go-to text for developing young</P> <P>scientists.</P> <P></P> <P> </P> <P>In this new edition we endeavor to make the book accessible to a broader</P> <P>audience. This edition includes more explanation, more elementary examples, </P> <P>and the author stepladders the exercises. Figures are updated and clarified. We make </P> <P>the sections more concise, and omit overly technical details.</P> <P></P> <P>We have updated and augmented the multivariable material in order to bring out</P> <P>the geometric nature of the topic. The figures are thus enhanced and fleshed out. </P> <P></P><B> <P>Features</P> <UL></B> <P> <LI>A renewed enthusiasm for the topic comes through in a revised presentation</LI> <P></P> <P> <LI>A new organization removes some advanced topics and retains related ones </LI> <P></P> <P> <LI>Exercises are more tiered, offering a more accessible course</LI> <P></P> <P> <LI>Key sections are revised for more brevity</LI> <P></P></UL>