The Foundations of Geometry by David Hilbert
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"The Foundations of Geometry" by David Hilbert is a mathematical treatise published in 1899. Hilbert proposes a rigorous axiom system to rebuild Euclidean geometry from the ground up, using twenty carefully constructed assumptions. Starting with six primitive concepts—points, lines, planes, and their fundamental relationships—he systematically establishes how geometric truths can be derived through pure logic. The work revolutionizes mathematical thinking by demonstrating how geometry can be constructed from basic principles without relying
on intuition or visual representation. (This is an automatically generated summary.)
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About this eBook
| Author | Hilbert, David, 1862-1943 |
|---|---|
| Translator | Townsend, E. J. (Edgar Jerome), 1864-1955 |
| Title | The Foundations of Geometry |
| Note | Wikipedia page about this book: en.wikipedia.org/wiki/Hilbert%27s_axioms |
| Credits | Joshua Hutchinson, Roger Frank, David Starner and the Online Distributed Proofreading Team at www.pgdp.net. Revised by Richard Tonsing. |
| Language | English |
| LoC Class | QA: Science: Mathematics |
| Subject | Geometry -- Foundations |
| Category | Text |
| eBook-No. | 17384 |
| Release Date | Dec 23, 2005 |
| Last Update | Jul 14, 2025 |
| Copyright | Public domain in the USA. |
| Downloads | 903 downloads in the last 30 days. |
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