How can there be infinitesimally real and infinitely large natural numbers? And how can we use these numbers to teach analysis while also providing interesting insights into the principles of mathematics? This volume provides detailed answers. Nonstandard analysis is not just for teaching but is also especially valuable for understanding standard analysis and mathematics in general.
Karl Kuhlemann
Nichtstandardanalysis Analysis Infinitesimalkalkül Grundlagen der Mathematik Philosophien der Mathematik Nonstandard Analysis Teaching of Analysis Infinitesimal Calculus Foundations of Mathematics Philosophy of Mathematics