/ Matthew A. Pons with illustrations by Robert F. Allen
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xviii, 409 pages , illustrations , 24 cm
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
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.
Text of Note
1. The real numbers -- 2. Sequences in R -- 3. Numerical series -- 4. Continuity -- 5. The derivative -- 6. Sequences and series of functions -- 7. The Riemann integral -- 8. Lebesgue measure on R -- 9. Lebesgue integration.