Interactive Real Analysis by Bert G. Wachsmuth

Book Contents :-
1. Sets and Relations 2. Infinity and Induction 3. Sequences of Numbers 4. Series of Numbers 5. Topology 6. Limits, Continuity, and Differentiation 7. The Integral 8. Sequences of Functions 9. Historical Tidbits

About this book :-
"Interactive Real Analysis" by "Bert G. Wachsmuth" is a modern, web-based textbook that introduces students to the fundamentals of "real analysis" in an engaging and accessible way. Unlike traditional textbooks, it uses an interactive format to guide learners through essential concepts, making abstract topics easier to understand. The book is suitable for undergraduate students and self-learners who want a hands-on approach to "advanced calculus" and mathematical reasoning. The book covers a wide range of topics, including "sequences and series", limits and continuity, differentiability, Riemann and Lebesgue integration, and the topology of the real line. Each concept is supported by interactive tools, such as function plotters, derivative checkers, and continuity testers, which allow students to explore ideas visually and intuitively. This approach helps learners build strong "conceptual understanding" while reinforcing "proof-based reasoning" through practice and experimentation. One of the book’s major strengths is that it is freely available online as an "open educational resource", making it accessible to students worldwide. It combines traditional real analysis rigor with modern, interactive learning methods, providing a unique and effective learning experience. Overall, "Interactive Real Analysis" equips students with the knowledge, intuition, and skills necessary for higher-level mathematics and fosters a deeper appreciation of the beauty and structure of real analysis.

Book Detail :-
Title: Interactive Real Analysis by Bert G. Wachsmuth
Publisher: Seton Hall University
Year: 2007
Pages: 100
Type: PDF
Language: English
ISBN-10 #: N\A
ISBN-13 #: N\A
License: CC BY-NC-SA 3.0
Amazon: Amazon

About Author :-
The author Bert G. Wachsmuth is Associate Professor at Department of Mathematics and Computer Science at Seton Hall University, South Orange, New Jersey, United States. He has completed his Ph.D. from Indiana University, Bloomington, Indiana, Indianapolis, Indiana. He has taught classes in Calculus, Statistics, Real Analysis, Complex Analysis, Introduction to Programming, Computer Networks, Introduction to C and Unix, Android programming and Robotics, and - still - enjoys teaching and interacting with students tremendously. His area work was Interpolation Theory and the Monge Ampere Equation in Several Complex Variables. He was an avid programmer and is interested in robotics, small device programming and technology applications to teaching and learning. His web-based survey system "Asset" is used at many educational institutions and his online "Interactive Real Analysis" project is used as a resource around the world. He is also a faculty member for the pioneering certificates in Data Visualization and Analysis.

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