Real and Complex Analysis

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"Unlike other undergraduate-level texts, Real and complex analysis develops both the real and complex theory together. It takes a unified, elegant approach to the theory that is consistent with the recommendations of the MAA's 2004 Curriculum Guide. By presenting real and complex analysis together, the authors illustrate the connections and differences between these two branches of analysis right from the beginning. Read more...

Abstract:
Presents the analysis of functions of real and complex variables. This work relates relevant topics from both advanced calculus and complex analysis, which imparts a more cohesive understanding of Read more...

Author(s): Apelian, Christopher; Mathew, Akhil; Surace, Steve
Series: Chapman & Hall/CRC Pure and Applied Mathematics
Publisher: Chapman & Hall/CRC
Year: 2009

Language: English
Pages: 567
Tags: Математика;Математический анализ;

Content: Spaces R, Rk, and C --
Point-set topology --
Limits and convergence --
Functions: definitions and limits --
Functions: continuity and convergence --
The Derivative --
Real integration --
Complex integration --
Taylor Series, Laurent Series, and the Residue Calculus --
Complex functions as mappings