A Course in Mathematical Analysis
A Course in Mathematical Analysis
Volume 3: Complex Analysis, Measure and Integration
D. J. H. Garling, University of Cambridge
July 2014
3. Complex Analysis, Measure and Integration
Paperback
9781107663305
The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and teachers. Volume I focuses on the analysis of real-valued functions of a real variable. Volume II goes on to consider metric and topological spaces. This third volume covers complex analysis and the theory of measure and integration.
- Developed from the author's own undergraduate courses taught at the University of Cambridge
- Over 250 exercises challenge the reader to learn through practice
- Useful background reading for a wide range of courses in mathematics
Product details
July 2014Paperback
9781107663305
329 pages
247 × 173 × 17 mm
0.61kg
20 b/w illus. 270 exercises
Available
Table of Contents
- Introduction
- Part I. Complex Analysis:
- 1. Holomorphic functions and analytic functions
- 2. The topology of the complex plane
- 3. Complex integration
- 4. Zeros and singularities
- 5. The calculus of residues
- 6. Conformal transformations
- 7. Applications
- Part II. Measure and Integration:
- 8. Lebesgue measure on R
- 9. Measurable spaces and measurable functions
- 10. Integration
- 11. Constructing measures
- 12. Signed measures and complex measures
- 13. Measures on metric spaces
- 14. Differentiation
- 15. Applications
- Index.
Displaying 1 - 1 of 1
