Introduction to Non-Euclidean Geometry

WOLFE, H.E.

Verlag: Indiana University / (Edwards Brothers, Inc. Lithoprinters), [Bloomington] / (Ann Arbor), 1941

Beschreibung

First edition (Stated "Preliminary Edition"). Quarto. 117pp. Line drawings, diagrams, and formulas. Printed beige wrappers. Former owner's signature on front wrap, else about fine. Preliminary edition of a book subsequently published by Holt Rinehart Winston in 1945 that became an important textbook. Wolfe claimed the 1945 edition was the first "fairly complete, elementary book published on Non-Euclidean geometry in America." The impact of non-Euclidean geometry on the development of mathematics cannot be over estimated. The discovery lead to an entire reevaluation of the foundations of mathematics and of the axiomatic method in particular. The certainty of the Greeks, ultimately gave way to the theorems of Kurt Gödel in the 1930s and the property of incompleteness. The book gives the history of the development and the foundations of standard geometry and their evolution. From the introduction: "This book has been written in an attempt to provide a satisfactory textbook to be used as a basis for elementary courses in Non-Euclidian Geometry. The need for such a volume, definitely intended for classroom use and containing substantial lists of exercises, has been evident for some time. It is hoped that this one will meet the requirements of those instructors who have been teaching the subject regularly, and also that its appearance will encourage others to institute such courses. The benefits and amenities of a formal study of Non-Euclidean Geometry are generally recognized. Not only is the subject matter itself valuable and intensely fascinating, well worth the time of any student of mathematics, but there is probably no elementary course which exhibits so clearly the nature and significance of geometry and, indeed, of mathematics in general. However, a mere cursory acquaintance with the subject will not do. One must follow its development at least a little way to see how things come out, and try his hand at demonstrating propositions under circumstances such that intuition no longer serves as a guide. For teachers and prospective teachers of geometry in the secondary schools the study of Non-Euclidean Geometry is invaluable." Rare.

Bestandsnummer des Verkäufers 464987

Bibliografische Details

• Titel: Introduction to Non-Euclidean Geometry
• Verlag: Indiana University / (Edwards Brothers, Inc. Lithoprinters), [Bloomington] / (Ann Arbor)
• Erscheinungsjahr: 1941
• Einband: Softcover
• Auflage: 1. Auflage
• Zustand: Near Fine