Modern Geometries Non-Euclidean, Projective, and Discrete by Henle, Michael pdf – Modern Geometries
Modern Geometries Non-Euclidean, Projective, and Discrete by Henle, Michael pdf – Modern Geometries
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Modern Geometries Non-Euclidean, Projective, and Discrete by Henle, Michael pdf
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Modern Geometries Non-Euclidean, Projective, and Discrete by Henle, Michael is a comprehensive textbook exploring various geometric concepts beyond traditional Euclidean geometry. The book covers non-Euclidean geometries, which deviate from Euclid's parallel postulate and include hyperbolic and elliptic geometries. It also delves into projective geometry, which studies properties that remain unchanged under projective transformations, providing a unique perspective on geometric structures. Additionally, the book discusses discrete geometry, focusing on finite sets of points and lines, with applications in computer graphics, crystallography, and combinatorics. Through clear explanations and engaging exercises, Henle introduces readers to the diverse and fascinating world of modern geometries, challenging traditional notions and expanding the understanding of geometric principles. This textbook is an essential resource for students and professionals interested in exploring the rich diversity of geometric concepts beyond Euclidean geometry.