01458aam a2200169 4500008004500000020001800045082001400063100001700077245007200094260005100166300001700217504050500234520047100739650002601210650002401236650002801260170510b2015 xxu||||| |||| 00| 0 eng d a9781470437763 a515bS4B2 aSimon, Barry aBasic complex analysis: a comprehensive course in analysis, part 2a bAmerican Mathemetical societyc2017aTelangana axvii, 640 p. aTable of Contents:
Chapter 1. Preliminaries
Chapter 2. The Cauchy integral theorem: Basics
Chapter 3. Consequences of the Cauchy integral formula
Chapter 4. Chains and the ultimate Cauchy integral theorem
Chapter 5. More consequences of the CIT
Chapter 6. Spaces of analytic functions
Chapter 7. Fractional linear transformations
Chapter 8. Conformal maps
Chapter 9. Zeros of analytic functions and product formulae
Chapter 10. Elliptic functions
Chapter 11. Selected additional topics
aA Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis.
http://bookstore.ams.org/simon-2-1/
aMathematical analysis aElliptic functions aCauchy integral theorem