The Foundations Of Geometry

The Foundations of Geometry is a seminal work by the German mathematician David Hilbert. Originally published in 1899, it is a comprehensive exploration of the axiomatic foundations of geometry. The book is divided into three parts, each of which builds upon the previous one. The first part establishes the basic concepts of geometry, such as points, lines, and planes, and defines the axioms that govern their relationships. The second part delves deeper into the nature of these axioms, examining their logical consistency and exploring the consequences that follow from them. The third part extends the theory of geometry to include non-Euclidean geometries, such as hyperbolic and elliptic geometry. Throughout the book, Hilbert emphasizes the importance of rigor and precision in mathematical reasoning, and his work has had a profound influence on the development of modern mathematics. The Foundations of Geometry is an essential text for anyone interested in the history and philosophy of mathematics, as well as for students and professionals in the field.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.