Advanced Calculus: An Introduction to Linear Analysis

DUBLIN, Ireland--(Business Wire)--
Research and Markets
(http://www.researchandmarkets.com/research/3d1413/advanced_calculus)
has announced the addition of the "Advanced Calculus: An Introduction
to Linear Analysis" report to their offering.

Advanced Calculus highlights the connections between calculus and
linear algebra and provides a mathematically sophisticated
introduction to functional analytic concepts. The book stresses that
proofs must be written down, scrutinized step-by-step and rewritten
whenever there is doubt. Unlike the competition, this book approaches
the rigorous foundations of calculus in a manner that reorients
thinking in the directions taken by modern analysis.

Key Topics Covered:

Preface.

Acknowledgments.

Introduction.

PART I. ADVANCED CALCULUS IN ONE VARIABLE.

1. Real Numbers and Limits of Sequences.

2. Continuous Functions.

3. Rieman Integral.

4. The Derivative.

5. Infinite Series.

PART II. ADVANCED TOPICS IN ONE VARIABLE.

6. Fourier Series.

7. The Riemann-Stieltjes Integral.

PART III. ADVANCED CALCULUS IN SEVERAL VARIABLES.

8. Euclidean Space.

9. Continuous Functions on Euclidean Space.

10. The Derivative in Euclidean Space.

11. Riemann Integration in Euclidean Space.

Appendix A. Set Theory.

Problem Solutions.

References.

Index

For more information visit
http://www.researchandmarkets.com/research/3d1413/advanced_calculus

Research and Markets
Laura Wood, Senior Manager
Fax from USA: 646-607-1907
Fax from rest of the world: +353-1-481-1716
press@researchandmarkets.com

Copyright Business Wire 2008