A Primer of Real Analysis by Dan Sloughter
A Primer of Real Analysis - Table of Contents
- 1. Mathematical Fundamentals
- 2. Theory of Sequences and Series
- 3. Set Theory and Cardinality
- 4. Topology of the Real Line
- 5. Principles of Limits and Continuity
- 6. Foundations of Derivatives
- 7. Construction of Integrals
- 8. Advanced Topics and More Functions
What You Will Learn in A Primer of Real Analysis
A Primer of Real Analysis by Dan Sloughter is a clear mathematical text designed to transition undergraduate students into higher-level abstract reasoning. Serving as an essential real analysis primer for undergraduate students, this volume covers the real number system, upper and lower bounds, sequence convergence, and point-set topology.
Sloughter’s clear and direct presentation enables students to learn real analysis fundamentals step-by-step. Topics include continuous functions, uniform continuity, the Mean Value Theorem, Riemann integration, and power series, making this a complete dan sloughter primer of real analysis pdf study guide.
Ideal for introductory analysis courses and self-learners, this textbook offers an accessible free real analysis textbook for beginners. Available as an open educational reference, it serves as a reliable real analysis study guide for self-learners mastering core analytical proofs.
Book Details & Specifications
Title:
A Primer of Real Analysis by Dan Sloughter
Publisher:
Dan Sloughter
Year:
2018
Pages:
157
Type:
PDF
Language:
English
ISBN-10 #:
B07GVQVMBB
ISBN-13 #:
License:
CC BY-NC-SA 3.0
Amazon:
Amazon
About the Author: Dan Sloughter
The author Dan Sloughter
is an Emeritus Professor of Mathematics at Furman University, recognized for his contributions to probability theory, real analysis, and his dedication to creating high-quality open educational resources.
His open textbook A Primer of Real Analysis PDF by Dan Sloughter is appreciated by students and educators for its clear exposition, logical progression, and accessible approach to abstract mathematics.
Read or Downloadable A Primer of Real Analysis
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