English | 2014 | PDF | 4 MB | 423 Pages
Matthew A. Pons, B00Q6K959U, 1461496373, 1493946498, 1461496381, 9781461496373, 9781461496380, 9781493946495, 978-1461496373, 978-1461496380, 978-1493946495
This undergraduate textbook introduces
students to the basics of real analysis, provides an introduction to
more advanced topics including measure theory and Lebesgue integration,
and offers an invitation to functional analysis. While these advanced
topics are not typically encountered until graduate study, the text is
designed for the beginner. The author’s engaging style makes advanced
topics approachable without sacrificing rigor. The text also
consistently encourages the reader to pick up a pencil and take an
active part in the learning process. Key features include: - examples
to reinforce theory; - thorough explanations preceding definitions,
theorems and formal proofs; - illustrations to support intuition; -
over 450 exercises designed to develop connections between the concrete
and abstract. This text takes students on a journey through the basics
of real analysis and provides those who wish to delve deeper the
opportunity to experience mathematical ideas that are beyond the
standard undergraduate curriculum.
