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A Course in Real Analysis by Hugo D. Junghenn is a book available to read on EtoBox.

What is A Course in Real Analysis about?

'A Course in Real Analysis' provides a rigorous treatment of the foundations of differential and integral calculus at the advanced undergraduate level. The book's material has been extensively classroom tested in the author's two-semester undergraduate course on real analysis at the George Washington University. A Course in Real Analysis provides a rigorous treatment of the foundations of differential and integral calculus at the advanced undergraduate level. The book's material has been extensively classroom tested in the author's two-semester undergraduate course on real analysis at The George Washington University. The first part of the text presents the calculus of functions of one variable. This part covers traditional topics, such as sequences, continuity, differentiability, Riemann integrability, numerical series, and the convergence of sequences and series of functions. It also includes optional sections on Stirling's formula, functions of bounded variation, Riemann-Stieltjes integration, and other topics. The second part focuses on functions of several variables. It introduces the topological ideas (such as compact and connected sets) needed to describe analytical properti

Author

Hugo D. Junghenn

Publisher

Chapman and Hall/CRC

Published

2015

Language

EN

ISBN

9781482219272

Subjects

Mathematics, Stem