Elementary Real Analysis: Second Edition. [Part One]

This is the second edition of the title originally published by Prentice Hall (Pearson) in 2001. Here is the reference information for the first edition: [TBB] Elementary Real Analysis, Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner. Prentice-Hall, 2001, xv 735 pp. [ISBN 0-13-019075-61] The present title contains Chapters 1-8. The full version containing all of the chapters is also available as a trade paperback. A hypertexted PDF file of the entire text is available free for download on www.classicalrealanalysis.com. Chapter 1. Real Numbers Chapter 2. Sequences Chapter 3. Infinite sums Chapter 4. Sets of real numbers Chapter 5. Continuous functions Chapter 6. More on continuous functions and sets Chapter 7. Differentiation Chapter 8. The integral