Meighan I. Dillon: Geometry Through History

Cover: 9783319741345 | Geometry Through History | Meighan I. Dillon | Buch | xii | Englisch

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Beschreibung

Presented as an engaging discourse, this textbook invites readers to delve into the historical origins and uses of geometry. The narrative traces the influence of Euclid¿s system of geometry, as developed in his classic text The Elements, through the Arabic period, the modern era in the West, and up to twentieth century mathematics. Axioms and proof methods used by mathematicians from those periods are explored alongside the problems in Euclidean geometry that lead to their work. Students cultivate skills applicable to much of modern mathematics through sections that integrate concepts like projective and hyperbolic geometry with representative proof-based exercises.
For its sophisticated account of ancient to modern geometries, this text assumes only a year of college mathematics as it builds towards its conclusion with algebraic curves and quaternions. Euclid¿s work has affected geometry for thousands of years, so this text has something to offer to anyone who wants to broaden their appreciation for the field.

Über den Autor

Meighan Dillon is a Professor of Mathematics at Kennesaw State University. She is a life¿long educator, whose research in infinite-dimensional Lie algebras is complemented by explorations in pedagogy and the use of projective geometry in art.

Zusammenfassung

Illuminates Euclid's The Elements and traces the development of modern geometries

Enriches the geometry curriculum with extensions to algebraic curves and quaternions

Reinforces historical results with exercises that explore proof methods of the time

Illustrates results and proofs with full-color diagrams throughout

Inhaltsverzeichnis

Preface.- 1. The Elements of Euclid.- 2. Neutral Geometry.- 3. The Hyperbolic Plane.- 4. Hilbert's Grundlagen.- 5. More Euclidean Geometry.- 6. Models for the Hyperbolic Plane.- 7. Affine Geometry.- 8. An Introduction to Projective Geometry.- 9. Algebraic Curves.- 10. Rotations and Quaternions.- Index.

Details

Erscheinungsjahr:	2018
Fachbereich:	Geometrie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xii 350 S. 233 farbige Illustr. 350 p. 233 illus. in color.
ISBN-13:	9783319741345
ISBN-10:	3319741349
Sprache:	Englisch
Herstellernummer:	978-3-319-74134-5
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Dillon, Meighan I.
Auflage:	1st ed. 2018
Hersteller:	Springer International Publishing
Maße:	241 x 160 x 24 mm
Von/Mit:	Meighan I. Dillon
Erscheinungsdatum:	05.04.2018
Gewicht:	0,777 kg

Artikel-ID: 111022166