Complex Analysis and Applications

• Main Author: Pathak, Hemant Kumar (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Subjects: Mathematical analysis.; Analysis (Mathematics).; Applied mathematics.; Engineering mathematics.; Number theory.; Analysis.; Applications of Mathematics.; Number Theory.

This book offers an essential textbook on complex analysis. After introducing the theory of complex analysis, it places special emphasis on the importance of Poincare theorem and Hartog's theorem in the function theory of several complex variables. Further, it lays the groundwork for future stu...

Table of Contents:

• 1. Complex Numbers and Metric Topology of C
• 2. Analytic Functions,Power Series and Elementary Complex Functions
• 3. Complex Integrations
• 4. Singularities,Meromorphic Functions and Principle of Argument
• 5. Calculus of Residues
• 6. Bilinear Transformations
• 7. Conformal Mappings
• 8. Spaces of Analytic Functions
• 9. Entire Functions
• 10. Analytic Continuation
• 11. Harmonic Functions, Uniform Convergence and Integral Functions
• 12. Canonical Products and Convergence of Entire Functions
• 13. The Range of an Analytic Function
• 14. Univalent Functions.