Course in Real Analysis 1st Junghenn Solution Manual

Product details:

• ISBN-10 ‏ : ‎ 9781482219272
• ISBN-13 ‏ : ‎ 978-1482219272
• Author: Hugo D. Junghenn

A Course in Real Analysis provides a rigorous treatment of the foundations of differential and integral calculus at the advanced undergraduate level. The book’s material has been extensively classroom tested in the author’s two-semester undergraduate course on real analysis at The George Washington University.

The first part of the text presents the calculus of functions of one variable. This part covers traditional topics, such as sequences, continuity, differentiability, Riemann integrability, numerical series, and the convergence of sequences and series of functions. It also includes optional sections on Stirling’s formula, functions of bounded variation, Riemann–Stieltjes integration, and other topics.

Table contents:

1. Chapter 1: The Real Number System
2. Chapter 2: Numerical Sequences
3. Chapter 3: Limits and Continuity on R
4. Chapter 4: Differentiation on R
5. Chapter 5: Riemann Integration on R
6. Chapter 6: Numerical Infinite Series
7. Chapter 7: Sequences and Series of Functions
8. Part II: Functions of Several Variables
9. Chapter 8: Metric Spaces
10. Chapter 9: Differentiation on Rn
11. Chapter 10: Lebesgue Measure on Rn
12. Chapter 11: Lebesgue Integration on Rn
13. Chapter 12: Curves and Surfaces in Rn
14. Chapter 13: Integration on Surfaces
15. Part III: Appendices
16. Appendix A: Set Theory
17. Appendix B: Linear Algebra
18. Appendix C: Solutions to Selected Problems
19. Bibliography

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