Foundations of Geometry by David Hilbert is a comprehensive and detailed exploration of the principles and concepts that form the basis of modern geometry. Hilbert's systematic approach and logical reasoning make this book a valuable resource for students and professionals alike.

One of the key strengths of this book is Hilbert's clear and concise presentation of the fundamental concepts of geometry. He covers a wide range of topics, including the axioms of geometry, the principles of congruence and similarity, and the properties of triangles and circles. Each topic is explained in a precise and meticulous manner, making it easy for readers to understand and apply the concepts.

Additionally, Hilbert's use of geometric diagrams and illustrations helps to enhance the understanding of the material presented in the book. The diagrams are clear and well-organized, making it easier for readers to visualize and grasp the geometric principles being discussed.

Overall, Foundations of Geometry is a must-read for anyone interested in delving deeper into the world of geometry. Hilbert's thorough exploration of the subject, combined with his clear and logical presentation, makes this book an invaluable resource for both students and professionals in the field.

Book Description:
The German mathematician David Hilbert was one of the most influential mathematicians of the 19th/early 20th century. Hilbert's 20 axioms were first proposed by him in 1899 in his book Grundlagen der Geometrie as the foundation for a modern treatment of Euclidean geometry.

Hilbert's axiom system is constructed with six primitive notions: the three primitive terms point, line, and plane, and the three primitive relations Betweenness , Lies on , and Congruence .

The original monograph in German was based on Hilbert's own lectures and was organized by himself for a memorial address given in 1899. This was quickly followed by a French translation with changes made by Hilbert; an authorized English translation was made by E.J. Townsend in 1902. This translation - from which this audiobook has been read - already incorporated the changes made in the French translation and so is considered to be a translation of the 2nd edition.