Hilbert, David
The Foundations of Geometry
- ISBN 13:
- 9781781395639
- author:
- Hilbert, David
- format:
- Paperback
- publisher:
- Benediction Classics
- language:
- English
- Publication Year:
- 2015
- Pages:
- 94
- Dimensions:
- 24.6 x 18.9 x 0.5 centimetres (0
- Genre:
- History, General, Science,
- Condition:
- New
- Availability:
- Item usually sent within 5 working days
Description
Geometry, like arithmetic, relies on a small set of fundamental principles to develop logically. At the heart of these principles are the axioms of geometry, which have been debated since Euclid's time. David Hilbert seeks to establish a simple and complete set of independent axioms for geometry, with the aim of deducing key geometric theorems from them. By examining the relationships between these axioms, Hilbert aims to shed light on the significance of different groups of axioms and the scope of conclusions that can be drawn from individual axioms. This work is a logical analysis of our intuitive understanding of space. This book presents Hilbert's efforts to establish a rigorous foundation for geometry, exploring the underlying principles and their implications for geometric reasoning.
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