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Geometry Through History: Euclidean, Hyperbolic, and Projective Geometries (Softcover Reprint of the Original 1st 2018)

Geometry Through History

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"Geometry Through History" by Meighan I. Dillon is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

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.

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Best For: Students and readers interested in the historical development of geometric concepts and methods.
Focus: The historical origins and evolution of Euclidean, hyperbolic, and projective geometries, including axioms and proof techniques.
Covers: The influence of Euclid's Elements, geometry in the Arabic period, developments in the modern Western era, and twentieth century mathematics.
Why It Matters: Understanding the historical context of geometric ideas helps clarify how mathematical methods and concepts have developed over time.

"Geometry Through History" by Meighan I. Dillon is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Meighan I. Dillon

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

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.

AuthorMeighan I. Dillon
PublisherSpringer
Published2019-01-26
ISBN-139783030089238
BindingPaperback
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics

Format: Paperback

Language: English

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