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Real and complex analysis

Author: Christopher Apelian; Steve Surace; Akhil Mathew
Publisher: Boca Raton, FL : Chapman & Hall/CRC, [2010] ©2010
Series: Monographs and textbooks in pure and applied mathematics, 294.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"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...
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Genre/Form: Textbooks
Document Type: Book
All Authors / Contributors: Christopher Apelian; Steve Surace; Akhil Mathew
ISBN: 9781584888062 1584888067
OCLC Number: 144523964
Description: xix, 547 pages : illustrations ; 25 cm.
Contents: 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.
Series Title: Monographs and textbooks in pure and applied mathematics, 294.
Responsibility: Christopher Apelian, Steve Surace ; with Akhil Mathew.

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...

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