Fascinating Bridge Between Number Theory and Analysis

In 'Sizes and Numbers', a fascinating bridge is created between number theory and analysis by connecting Eudoxus's theory of proportions with Dedekind cuts. This construction provides direct access to logarithms and exponential functions. Enriched with historical references and occasional anecdotes, the book offers many surprising insights and enables an extraordinarily clear understanding of these fundamental mathematical functions.

The book comes from the estate of the gifted educator Heinz Lüneburg and is edited by Theo Grundhöfer, Karl Strambach, and Huberta Lausch. It assumes familiarity with mathematical language and the fundamentals of analysis and number theory.

The title is primarily aimed at students of mathematics, but also at those in computer science, natural sciences, and engineering.