Meighan I. Dillon
Geometry Through History: Euclidean, Hyperbolic, and Projective Geometries
Geometry Through History: Euclidean, Hyperbolic, and Projective Geometries
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Excellent- More about Geometry Through History: Euclidean, Hyperbolic, and Projective Geometries
This textbook explores the historical origins and uses of geometry, tracing the influence of Euclids system through the Arabic period, the modern era, and the twentieth century. It also includes sections on axioms and proof methods and integrates concepts like projective and hyperbolic geometry with proof-based exercises. It assumes only a year of college mathematics and builds towards algebraic curves and quaternions.
Format: Hardback
Length: 350 pages
Publication date: 05 April 2018
Publisher: Springer International Publishing AG
This captivating textbook presents a lively exploration of the historical origins and diverse applications of geometry. The narrative gracefully traces the profound influence of Euclid's system of geometry, as encapsulated in his renowned masterpiece, The Elements, throughout various epochs. From the Arab world to the modern era in the West, and even into the twentieth century, mathematics has been shaped by the principles and methodologies developed in this mathematical framework. The text delves into the axioms and proof methods employed by mathematicians across these periods, shedding light on the problems that sparked their innovative thinking. By seamlessly integrating concepts such as projective and hyperbolic geometry with representative proof-based exercises, students cultivate a range of skills that are highly applicable to modern mathematics.
Assuming a foundational year of college mathematics, the text gradually builds towards its culmination, focusing on algebraic curves and quaternions. Euclid's profound impact on geometry has endured for thousands of years, making this text an invaluable resource for anyone seeking to deepen their understanding and appreciation of the field. Whether you are a student, a scholar, or simply a passionate admirer of mathematics, this textbook offers a wealth of knowledge and insights that are sure to captivate and inspire.
Weight: 748g
Dimension: 243 x 198 x 22 (mm)
ISBN-13: 9783319741345
Edition number: 1st ed. 2018
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