An Introduction to Real Analysis
β Scribed by Yitzhak Katznelson, Yonatan Katznelson
- Publisher
- American Mathematical Society
- Year
- 2024
- Tongue
- English
- Leaves
- 280
- Series
- Pure and Applied Undergraduate Texts, 65
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
An Introduction to Real Analysis gives students of mathematics and related sciences an introduction to the foundations of calculus, and more generally, to the analytic way of thinking. The authors' style is a mix of formal and informal, with the intent of illustrating the practice of analysis and emphasizing the process as much as the outcome. The book is intended for use in a one- or two-term course for advanced undergraduates in mathematics and related fields who have completed two or three terms of a standard university calculus sequence.
β¦ Table of Contents
Cover
Title
The real numbers
Sequences and series
The topology of the real line
Continuous functions
Sequences and series of functions
Differentiation
The Riemann integral
The Lebesgue integral
Appendix A. Set theory and constructing
β¦ Subjects
Real Variables Functions; Functional Analysis; Real Numbers
π SIMILAR VOLUMES
"This book provides a compact, but thorough, introduction to the subject of Real Analysis. It is intended for a senior undergraduate and for a beginning graduate one-semester course."--Provided by publisher.</div> <br> Abstract: "This book provides a compact, but thorough, introduction t
These are some notes on introductory real analysis. They cover the properties of the real numbers, sequences and series of real numbers, limits of functions, continuity, differentiability, sequences and series of functions, and Riemann integration. They donβt include multi-variable calculus or conta
<i>An Introduction to Real Analysis</i> gives students of mathematics and related sciences an introduction to the foundations of calculus, and more generally, to the analytic way of thinking. The authors' style is a mix of formal and informal, with the intent of illustrating the practice of analysis