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Axiomatic Approach Geometry Geometric by Borceux Francis (16 results)
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An Axiomatic Approach to Geometry: Geometric Trilogy I
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
£ 118.42
Convert currency£ 11.98 shipping from United Kingdom to U.S.A.Quantity: Over 20 available
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An Axiomatic Approach to Geometry: Geometric Trilogy I
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
£ 118.42
Convert currency£ 11.98 shipping from United Kingdom to U.S.A.Quantity: Over 20 available
Add to basketCondition: New. In English.
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Condition: New. pp. 418.
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An Axiomatic Approach to Geometry : Geometric Trilogy I
Published by Springer International Publishing, 2016
ISBN 10: 3319347519 ISBN 13: 9783319347516
Language: English
£ 133.93
Convert currency£ 54.84 shipping from Germany to U.S.A.Quantity: 1 available
Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 geometry marks the origin of formalized mathematical activity. It is in this discipline that most historically famous problems can be found, the solutions of which have led to various presently very active domains of research, especially in algebra. The recognition of the coherence of two-by-two contradictory axiomatic systems for geometry (like one single parallel, no parallel at all, several parallels) has led to the emergence of mathematical theories based on an arbitrary system of axioms, an essential feature of contemporary mathematics.This is a fascinating book for all those who teach or study axiomatic geometry, and who are interested in the history of geometry or who want to see a complete proof of one of the famous problems encountered, but not solved, during their studies: circle squaring, duplication of the cube, trisection of the angle, construction of regular polygons, construction of models of non-Euclidean geometries, etc. It also provides hundreds of figures that support intuition.Through 35 centuries of the history of geometry, discover the birth and follow the evolution of those innovative ideas that allowed humankind to develop so many aspects of contemporary mathematics. Understand the various levels of rigor which successively established themselves through the centuries. Be amazed, as mathematicians of the 19th century were, when observing that both an axiom and its contradiction can be chosen as a valid basis for developing a mathematical theory. Pass through the door of this incredible world of axiomatic mathematical theories!
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An Axiomatic Approach to Geometry : Geometric Trilogy I
Published by Springer International Publishing, 2013
ISBN 10: 3319017292 ISBN 13: 9783319017297
Language: English
£ 133.93
Convert currency£ 55.53 shipping from Germany to U.S.A.Quantity: 1 available
Add to basketBuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 geometry marks the origin of formalized mathematical activity. It is in this discipline that most historically famous problems can be found, the solutions of which have led to various presently very active domains of research, especially in algebra. The recognition of the coherence of two-by-two contradictory axiomatic systems for geometry (like one single parallel, no parallel at all, several parallels) has led to the emergence of mathematical theories based on an arbitrary system of axioms, an essential feature of contemporary mathematics.This is a fascinating book for all those who teach or study axiomatic geometry, and who are interested in the history of geometry or who want to see a complete proof of one of the famous problems encountered, but not solved, during their studies: circle squaring, duplication of the cube, trisection of the angle, construction of regular polygons, construction of models of non-Euclidean geometries, etc. It also provides hundreds of figures that support intuition.Through 35 centuries of the history of geometry, discover the birth and follow the evolution of those innovative ideas that allowed humankind to develop so many aspects of contemporary mathematics. Understand the various levels of rigor which successively established themselves through the centuries. Be amazed, as mathematicians of the 19th century were, when observing that both an axiom and its contradiction can be chosen as a valid basis for developing a mathematical theory. Pass through the door of this incredible world of axiomatic mathematical theories!
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£ 180
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Add to basketPaperback. Condition: Like New. Like New. book.
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£ 185.90
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Add to basketPaperback. Condition: Brand New. reprint edition. 420 pages. 9.30x6.20x0.73 inches. In Stock.
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£ 187.60
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Add to basketHardcover. Condition: Brand New. 460 pages. 9.20x6.10x1.00 inches. In Stock.
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£ 179.14
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Add to basketCondition: New. Print on Demand pp. 418.
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£ 189.62
Convert currency£ 8.64 shipping from Germany to U.S.A.Quantity: 4 available
Add to basketCondition: New. PRINT ON DEMAND pp. 418.
