Springer Nonstandard Analysis in Practice - Universitext Book

Expand your mathematical toolkit with Nonstandard Analysis in Practice from Springer. Part of the Universitext series, this book is designed specifically for graduate mathematicians and researchers looking to master the effective use of nonstandard analysis (NSA). Starting with a tutorial introduction to the modern theory of infinitesimals, the text moves quickly into practical application. You will explore nine detailed examples that demonstrate how NSA functions across various mathematical disciplines. These applications include complex analysis, stochastic differential equations, differential geometry, topology, probability, integration, and asymptotics. This resource provides a clear path from theoretical understanding to real-world mathematical practice. It also includes valuable remarks on teaching with infinitesimals, making it a useful guide for both advanced students and educators. Whether you are conducting research or deepening your knowledge of applied mathematics, this book offers the technical depth required for modern mathematical study.