Geometry Through History

Euclidean, Hyperbolic, and Projective Geometries

Nonfiction, Science & Nature, Mathematics, Geometry, History
Cover of the book Geometry Through History by Meighan I. Dillon, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Meighan I. Dillon ISBN: 9783319741352
Publisher: Springer International Publishing Publication: March 21, 2018
Imprint: Springer Language: English
Author: Meighan I. Dillon
ISBN: 9783319741352
Publisher: Springer International Publishing
Publication: March 21, 2018
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Nanotechnologies in Food and Agriculture by Meighan I. Dillon
Cover of the book Stochastic Processes by Meighan I. Dillon
Cover of the book Psychology as the Science of Human Being by Meighan I. Dillon
Cover of the book Anesthesia in High-Risk Patients by Meighan I. Dillon
Cover of the book Cognitive Infocommunications (CogInfoCom) by Meighan I. Dillon
Cover of the book Aspirational Revolution by Meighan I. Dillon
Cover of the book Fungal Applications in Sustainable Environmental Biotechnology by Meighan I. Dillon
Cover of the book Soil in Criminal and Environmental Forensics by Meighan I. Dillon
Cover of the book Contract Theory for Wireless Networks by Meighan I. Dillon
Cover of the book Engineering Software Systems: Research and Praxis by Meighan I. Dillon
Cover of the book Marcel Grossmann by Meighan I. Dillon
Cover of the book Trends in PDE Constrained Optimization by Meighan I. Dillon
Cover of the book Novel Functional Materials Based on Cellulose by Meighan I. Dillon
Cover of the book Berichte zu Pflanzenschutzmitteln 2014 by Meighan I. Dillon
Cover of the book Mechanical Properties of Polymers Measured through AFM Force-Distance Curves by Meighan I. Dillon
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy