Items related to Studien zur Theorie der Infinitesimalen Transformation

Studien zur Theorie der Infinitesimalen Transformation - Softcover

Inauguraldissertation Zur Erlangung Der Philosophischen Doctorwürde

 
9780484929684: Studien zur Theorie der Infinitesimalen Transformation

Synopsis

This book explores the theory of infinitesimal transformations as applied to ordinary differential equations of the first and second order. The author begins by introducing basic concepts and establishing the framework for the subsequent analysis. They then investigate the relationship between infinitesimal transformations and the geometry of integral curves, characterizing the behavior of these curves near singular points and other special locations. The book culminates in a detailed examination of the integral surface for differential equations of the second order, delving into its topological properties and the behavior of its characteristic curves. Through a combination of geometric insights and rigorous mathematical analysis, this book provides valuable insights into the behavior of differential equations and their solutions.

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