Book Description:
ISBN-13: 9781119314721
An Introduction to Proof through Real Analysis is a comprehensive textbook that provides a thorough introduction to the fundamental concepts of proof writing and real analysis. The book covers topics such as sets, functions, sequences, series, limits, continuity, and differentiation, all within the context of real numbers and real functions.
The text is designed to help students develop their skills in mathematical reasoning and proof writing, which are essential for success in higher-level mathematics courses. Each chapter includes numerous examples, exercises, and proofs to reinforce the concepts covered and to help students practice their proof-writing skills.
The book also includes discussions on the historical development of mathematical ideas and the importance of rigor in mathematical reasoning. Additionally, the text provides insights into the applications of real analysis in various fields, such as physics, engineering, and computer science.
An Introduction to Proof through Real Analysis is a valuable resource for students and instructors alike who are looking to deepen their understanding of mathematical proof and real analysis.
This edition retains the full content with the added advantage of portability, allowing readers to easily access and engage with the material from any device, whether in a classroom or during fieldwork.