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- Author: Matthew A. Pons
- Pages: 1
- Language: English
- ISBN/ASIN: 1461496373
- Upload date: 20-12-2016, 20:54
- Category: Mathematics

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.

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The Real Numbers: An Introduction to Set Theory and Analysis (Undergraduate Texts in Mathematics) The Real Numbers and Real Analysis Statistical Theory: A Concise Introduction Real Analysis: Measures, Integrals and Applications (Universitext) Real Analysis with an Introduction to Wavelets and Applications Problems and Solutions in Real Analysis (Number Theory and Its Applications) Problems and Proofs in Real Analysis: Theory of Measure and Integration More Calculus of a Single Variable (Undergraduate Texts in Mathematics) How to Think About Analysis Foundations of Real and Abstract Analysis Foundations of Mathematical Analysis Elementary Analysis: The Theory of Calculus Basic Real Analysis, 2nd ed. Basic Analysis Analysis and Probability An Introduction to Measure Theory (Graduate Studies in Mathematics) Advanced Calculus: An Introduction to Linear Analysis Abstract Algebra: An Inquiry Based Approach (Textbooks in Mathematics) A Sequential Introduction to Real Analysis A Guide to Functional Analysis A Course in Real Analysis by Junghenn A Course in Mathematical Analysis (Volume 1) A Concise Introduction to Analysis A (Terse) Introduction to Lebesgue Integration (Student Mathematical Library)

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