Real and Complex Analysis

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A01=Chris Apelian
A01=Christopher Apelian
A01=Steve Surace
advanced calculus
Author_Chris Apelian
Author_Christopher Apelian
Author_Steve Surace
bolzano
Category=PBK
Cauchy Riemann Equations
Cauchy Sequence
Cauchy's Integral Theorem
Cauchy’s Integral Theorem
Closed Contour
complex functions
complex mappings
Counterclockwise
Differentiable Complex Functions
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Follow
fractional
functional analysis
Int
Interior Point
Laurent Series Expansion
Lebesgue integration
Lim ?n
Lim Ξn
limit
Limit Point
linear
mapping
Mathematical Analysis
measure theory
number
Point Z0
Power Series
Real Numbers
real variables
riemann
Riemann Sum
rigorous analysis for graduate students
Rolle's Theorem
Rolle’s Theorem
Simple Closed Contour
Single Real Variable
Singular Part
Squeeze Theorem
Star Shaped Sets
Taylor's Theorem
Taylor’s Theorem
theorem
topological spaces
transformation
Uniformly Continuous
vector-valued functions
weierstrass
Winding Number

Product details

  • ISBN 9780367384784
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 19 Sep 2019
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Presents Real & Complex Analysis Together Using a Unified Approach
A two-semester course in analysis at the advanced undergraduate or first-year graduate level

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. This combined development also allows for a more streamlined approach to real and complex function theory. Enhanced by more than 1,000 exercises, the text covers all the essential topics usually found in separate treatments of real analysis and complex analysis. Ancillary materials are available on the book’s website.

This book offers a unique, comprehensive presentation of both real and complex analysis. Consequently, students will no longer have to use two separate textbooks—one for real function theory and one for complex function theory.

Christopher Apelian is an associate professor and chair of the Department of Mathematics and Computer Science at Drew University. Dr. Apelian has published papers on the application of probability and stochastic processes to the modeling of turbulent transport.

Steve Surace is an associate professor in the Department of Mathematics and Computer Science at Drew University. Dr. Surace is also the Associate Director of the New Jersey Governor’s School in the Sciences held at Drew University every summer.

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