Lectures on Mathematics: Delivered From Aug. 28 to Sept. 9, 1893 Before Members of the Congress of Mathematics Held in Connection With the World's ... University, Evanston, Ill (Classic Reprint) - Softcover

Felix Klein

 
9781330271162: Lectures on Mathematics: Delivered From Aug. 28 to Sept. 9, 1893 Before Members of the Congress of Mathematics Held in Connection With the World's ... University, Evanston, Ill (Classic Reprint)

Synopsis

This book delves into the fascinating world of geometry and its connection to the theory of functions, as developed in Germany during the late 19th century. The author guides the reader through the foundational works of prominent mathematicians like Clebsch and Lie, exploring their groundbreaking contributions to the field. He discusses how these mathematicians expanded the traditional view of geometry, introducing new elements like the space-element and the surface-element. The author emphasizes the importance of visualizing and understanding the real shape of geometric objects, moving beyond abstract formulas to grasp their actual forms in space. The book also explores the role of contact transformations in the study of partial differential equations, demonstrating how they offer a powerful tool for understanding these complex equations. Ultimately, this book provides a glimpse into a pivotal period in the history of mathematics, offering valuable insights into the evolution of geometric thought.

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