<p><p>Focusing methodologically on those historical aspects that are relevant to supporting intuition in axiomatic approaches to geometry, the book develops systematic and modern approaches to the three core aspects of axiomatic geometry: Euclidean, non-Euclidean and projective. Historically, axioma
An Axiomatic Approach to Geometry Geometric Trilogy I
โ Scribed by Borceux, Francis
- Publisher
- Imprint: Springer
- Year
- 2014
- Tongue
- English
- Leaves
- 410
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Introduction.- Preface.- 1.The Prehellenic Antiquity.- 2.Some Pioneers of Greek Geometry.- 3.Euclid's Elements.- 4.Some Masters of Greek Geometry.- 5.Post-Hellenic Euclidean Geometry.- 6.Projective Geometry.- 7.Non-Euclidean Geometry.- 8.Hilbert's Axiomatics of the Plane.- Appendices: A. Constructibily.- B. The Three Classical Problems.- C. Regular Polygons.- Index.- Bibliography.
โฆ Subjects
Geometry;Mathematics;Online-Publikation
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<p><p>Focusing methodologically on those historical aspects that are relevant to supporting intuition in axiomatic approaches to geometry, the book develops systematic and modern approaches to the three core aspects of axiomatic geometry: Euclidean, non-Euclidean and projective. Historically, axioma
<p>Focusing methodologically on those historical aspects that are relevant to supporting intuition in axiomatic approaches to geometry, the book develops systematic and modern approaches to the three core aspects of axiomatic geometry: Euclidean, non-Euclidean and projective. Historically, axiomatic
ะะทะดะฐัะตะปัััะฒะพ Springer, 2014, -410 pp.<br/>Geometric Trilogy I. An Axiomatic Approach to Geometry (<a class="object-link fpm" data-file-id="1440126" href="/file/1440126/">/file/1440126/</a>).<br/>Geometric Trilogy II. An Algebraic Approach to Geometry (<a class="object-link fpm" data-file-id="1440128
<p><p>This is a unified treatment of the various algebraic approaches to geometric spaces. The study of algebraic curves in the complex projective plane is the natural link between linear geometry at an undergraduate level and algebraic geometry at a graduate level, and it is also an important topic