Real Analysis for the Undergraduate: With an Invitation to Functional Analysis
| Author | : | |
| Rating | : | 4.64 (587 Votes) |
| Asin | : | 1461496373 |
| Format Type | : | paperback |
| Number of Pages | : | 409 Pages |
| Publish Date | : | 2015-07-08 |
| Language | : | English |
DESCRIPTION:
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.. The text also consistently encourages the reader to pick up a pencil and take an active part in the learning process. While these advanced topics are not typically encountered until graduate study, the text is designed for the beginner. 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. The author’s engaging style makes advanced topics approachable without sacrificing rigor. 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
I have yet to find a text I like and that would be suitable for the course I'm an algebraist who teaches our first course in analysis once in a while. I have yet to find a text I like and that would be suitable for the course. This semester is no exception - I am not happy with text I chose. I took Pons' book out of our library and have been using it as a resource. I will definitely use Pons' text the next time I teach the course. It is clear that he has put a huge amount of time into the t. Three Stars No answer guide online
52 (2), October, 2014)“This book contains a reasonably complete exposition of real analysis theory which is needed for beginning undergraduate-level students. Turner, Choice, Vol. It includes basic material connected with this topic as well as more advanced problems. P. Palak, Mathematical Reviews, September, 2014). The book includes nice graphic illustrations of the problems considered.” (Ryszard J. … Summing Up: Highly recommended. … All the topics are presented thoroughly. It also provides the basis for students to gain some experience in measure theory, Lebesgue integration, and functional analysis. From the book reviews:“This book is more than just an excellent introduction to real analysis at the undergraduate level. Upper-division undergraduates and above.” (D
Matthew A. . Pons is Associate Professor of Mathematics at North Central College