An Axiomatic Approach to Geometry Geometric Trilogy I

“The Geometric Trilogy is a comprehensive monograph; the readers, depending on their taste, preference, etc., may enjoy the landscape presented by Francis Borceux from the point of view of axiomatics … . I am convinced that the readers will enjoy this book, be they either undergraduate students, teachers wishing to broaden their background knowledge, or specialists on related areas who need the concepts and techniques of geometry.” (Gábor Gévay, Acta Scientiarum Mathematicarum, Vol. 83 (2), 2017)

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, andhighly 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)