Dangello, Frank.

Introductory real analysis / Frank Dangello, Michael Seyfried - Boston, Mass. : Houghton Mifflin, c2000 - xi, 287 p. ; 25 cm.

Preface. Ch. 1. Proofs, sets, and functions. - Ch. 2. The structure of R. - Ch. 3. Sequences. - Ch. 4. Continuty. - Ch.5. Differentiation. - Ch. 6. Riemann integration. - Ch. 7. Infinite series. - Ch. 8. Sequences and series of functions. - Ch. 9. Power series. - Ch. 10. The Riemann-Stieltjes integral. - Ch. 11. The topology of R. - Bibliography. - Hints and answers. - Index.

[This book] is designed as an accessible development of the topics in advanced calculus, with a main focus on helping students develop their skills in analyzing and writing proofs. Covering a range of topics, from sequences to power functions to the topology of R, [this book] meets the high degree of course variation and requirements at this level while giving instructors flexibility in the classroom - Back cover.

0395959330


Mathematical analysis.

515 / DAN