Real Analysis A Long Form Mathematics Textbook Jay Cummings

Master the Core Principles: A Comprehensive Journey into Real Analysis for Beginners

A provocative look at the tools and history of real analysis
This new work from award–winning author Saul Stahl offers a real treat for students of analysis. Combining historical coverage with a superb introductory treatment, Real Analysis: A Historical Approach helps readers easily make the transition from concrete to abstract ideas.

A unique approach to analysis that lets you apply mathematics across a range of subjects
This innovative text sets forth a thoroughly rigorous modern account of the theoretical underpinnings of calculus: continuity, differentiability, and convergence. Using a constructive approach, every proof of every result is direct and ultimately computationally verifiable. In particular, existence is never established by showing that the assumption of non-existence leads to a contradiction. The ultimate consequence of this method is that it makes sensenot just to math majors but also to students from all branches of the sciences.