An Axiomatic Approach to Geometry: Geometric Trilogy I

Author:   Francis Borceux
Publisher:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2014
ISBN:  

9783319347516


Pages:   403
Publication Date:   23 August 2016
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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An Axiomatic Approach to Geometry: Geometric Trilogy I


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Full Product Details

Author:   Francis Borceux
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2014
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   6.321kg
ISBN:  

9783319347516


ISBN 10:   3319347519
Pages:   403
Publication Date:   23 August 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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.​

Reviews

From the book reviews: The axiomatic approach to geometry accounts for much of its history and controversies, and this book beautifully discusses various aspects of this. ... I thoroughly enjoyed this book, and highly recommend it for instructors who are preparing courses in this material or who just want a great reference on their shelves. ... There are exercises and problems appearing at the end of each chapter ... . Any decent college library should own this book ... . (Mark Hunacek, MAA Reviews, January, 2014) This book is eminently suitable for prospective teachers and their docents. The reader benefits from the author's long experience in lecturing geometry. The text is presented with contemporary mathematical rigor and free of strenuous historical sources ... . This wonderful book offers a deep insight into the beginning of geometric science 35 centuries before, into its further synthetic development through the ages, and into its culmination with Hilbert. (Rolf Riesinger, zbMATH, Vol. 1298, 2014)


From the book reviews: The axiomatic approach to geometry accounts for much of its history and controversies, and this book beautifully discusses various aspects of this. ... I thoroughly enjoyed this book, and highly recommend it for instructors who are preparing courses in this material or who just want a great reference on their shelves. ... There are exercises and problems appearing at the end of each chapter ... . Any decent college library should own this book ... . (Mark Hunacek, MAA Reviews, January, 2014) This book is eminently suitable for prospective teachers and their docents. The reader benefits from the author's long experience in lecturing geometry. The text is presented with contemporary mathematical rigor and free of strenuous historical sources ... . This wonderful book offers a deep insight into the beginning of geometric science 35 centuries before, into its further synthetic development through the ages, and into its culmination with Hilbert. (Rolf Riesinger, zbMATH, Vol. 1298, 2014)


Author Information

Francis Borceux is Professor of mathematics at the University of Louvain since many years. He has developed research in algebra and essentially taught geometry, number theory and algebra courses and he has been dean of the Faculty of Sciences of his University and chairman of the Mathematical Committee of the Belgian National Scientific Research Foundation.

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