Foundations of Analysis

Steven G. Krantz

October 20, 2014 by Chapman and Hall/CRC
Textbook - 312 Pages - 41 B/W Illustrations
ISBN 9781482220742 - CAT# K22217

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Features

  • Gives a streamlined presentation of the main ideas in real analysis, avoiding complex technicalities
  • Explains how to apply the theorems
  • Includes varying levels of exercises at the end of each section
  • Provides the necessary background material on number systems, logic, and proofs in the appendices

Solutions manual and instructor manual available upon qualifying course adoption

Summary

Foundations of Analysis covers the basics of real analysis for a one- or two-semester course. In a straightforward and concise way, it helps students understand the key ideas and apply the theorems. The book’s accessible approach will appeal to a wide range of students and instructors.

Each section begins with a boxed introduction that familiarizes students with the upcoming topics and sets the stage for the work to be done. Each section ends with several questions that ask students to review what they have just learned. The text is also scattered with notes pointing out places where different pieces of terminology seem to conflict with each other or where different ideas appear not to fit together properly. In addition, many remarks throughout help put the material in perspective.

As with any real analysis text, exercises are powerful and effective learning tools. This book is no exception. Each chapter generally contains at least 50 exercises that build in difficulty, with an exercise set at the end of every section. This allows students to more easily link the exercises to the material in the section.

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