Addison-Wesley / Prentice Hall

Mathematics

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Introduction to Mathematical Analysis
Steven A. Douglass, Western Oregon State College

ISBN-10: 0201508974
ISBN-13: 9780201508970

Publisher: Addison-Wesley
Copyright: 1996
Format: Paper; 737 pp
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  • This is a serious treatment of analysis, designed for undergraduates.
  • Visualization, using artwork and graphs, helps students understand difficult concepts.
  • To increase student motivation, historical and philosophical discussions are woven into the exposition.
  • This work contains numerous exercises, with problems ranging from the elementary to the challenging.



 1. The Structure of the Real Numbers: Sequences.


 2. Euclidean Spaces.


 3. Continuity.


 4. Differentiation.


 5. Functions of Bounded Variations.


 6. The Riemann Integral.


 7. The Riemann-Stieltjes Integral.


 8. Differential Calculus in R<P8M^>n.<P255W0^>


 9. Vector-Valued Functions.


10. Multiple Integrals.


11. Infinite Series.


12. Series of Functions.


13. Improper Integrals.


14. Fourier Series.


Appendices.


References and Additional Readings.


Index.

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