A Course in Old and New Geometry III: Advanced Neutral and Euclidean Geometry

by Franz Rothe

Overview

decade long experience of teaching the course "Fundamental of Geometry" at the University of North Carolina at Charlotte, many notes for exercises, and reading and research are the bases for this bulky work.
The present third volume recalls Hilbert's axioms from the Foundations of Geometry,
and elaborates many faces of advanced neutral and Euclidean geometry.

A first part about neutral geometry originates from the century long efforts to prove the parallel axiom, from Proclus in antiquity to Legendre and his contemporaries. The insight of independence of the parallel axiom leaves many open roads to pursue,
and the desire to develop a natural as well as completely axiomatic system still motivates new developments. The second part about advanced Euclidean geometry contains thorough triangle geometry, harmonic points, some elliptic geometry, and many more interesting problems.

Product Details

ISBN-13:	9798881170684
Publisher:	Barnes & Noble Press
Publication date:	04/14/2024
Series:	A Course in Old and New Geometry , #3
Pages:	284
Product dimensions:	7.50(w) x 9.25(h) x 0.69(d)

About the Author

Franz Rothe has received his doctoral degree in mathematics from the University of Tübingen, Germany. He has been professor at the University of North Carolina at Charlotte, and has published about 40 articles and a lecture notes in mathematics, and two further books on number theory, modern algebra, and graph theory. Dr. Rothe is retired since several years, and is now emeritus professor.