The Foundations of Geometry

Focusing on the contributions of David Hilbert, this work highlights his significant influence on mathematics in the 19th and early 20th centuries. Born in Prussia, Hilbert is celebrated for his groundbreaking ideas in invariant theory and the axiomatization of geometry, as well as for formulating the theory of Hilbert spaces, which became foundational in functional analysis. The book is republished with a new introductory biography that provides context to his remarkable achievements.