Today, nearly every undergraduate mathematics program requires at least one semester of real analysis. Often, students consider this course to be the most challenging or even intimidating of all their mathematics major requirements. The primary goal of A Problem Book in Real Analysis is to alleviate those concerns by systematically solving the problems related to the core concepts of most analysis courses. In doing so, the authors hope that learning analysis becomes less taxing and more satisfying.

Am 15. Januar 2017 wird eine grausam entstellte, nackte Frauenleiche auf dem Gelände der Alten Ziegelei in Mainz-Bretzenheim gefunden. Kriminalhauptkommissar Ernst-August Malminger erkennt sofort, dass die Täter genau siebzig Jahre später einen der größten Mordfälle der Kriminalgeschichte kopiert haben: Elizabeth Short, Los Angeles 1947, die Schwarze Dahlie. Kann das Zufall sein? Schließlich ist er Deutschlands führender Schwarze Dahlie-Experte…

A buried ancient city hidden five stories underground, and to keep its location secret from invaders, its residents devised an ingenious trick; experts reveal what it was, and using the latest tech, they reveal the truth behind this strange place.

This second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Theory and Fixed Point Theory, and Variational and Topological Methods. Each of five topics corresponds to a different chapter with inclusion of the basic theory and accompanying main definitions and results,followed by suitable comments and remarks for better understanding of the material. Exercises/problems are presented for each topic, with solutions available at the end of each chapter. The entire collection of exercises offers a balanced and useful picture for the application surrounding each topic.

A labyrinth of vast tunnels in the French countryside has served as a secret hideout during wartime for centuries, and on its walls, experts have discovered the final confessions of soldiers who fought here during one of the deadliest days of World War I.