The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss and Riemann is a story that is often broken into parts - axiomatic geometry, non-Euclidean geometry and differential geometry. This poses a problem for undergraduates: Which part is geometry? What is the big picture to which these parts belong? In this introduction to differential geometry, the parts are united with all of their interrelations, motivated by the history of the parallel postulate. Beginning with the ancient sources, the author ...
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The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss and Riemann is a story that is often broken into parts - axiomatic geometry, non-Euclidean geometry and differential geometry. This poses a problem for undergraduates: Which part is geometry? What is the big picture to which these parts belong? In this introduction to differential geometry, the parts are united with all of their interrelations, motivated by the history of the parallel postulate. Beginning with the ancient sources, the author first explores synthetic methods in Euclidean and non-Euclidean geometry and then introduces differential geometry in its classical formulation, leading to the modern formulation on manifolds such as space-time. The presentation is enlivened by historical diversions such as Huygens's clock and the mathematics of cartography. The intertwined approaches will help undergraduates understand the role of elementary ideas in the more general, differential setting. This thoroughly revised second edition includes numerous new exercises and a new solution key. New topics include Clairaut's relation for geodesics and the use of transformations such as the reflections of the Beltrami disk.
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Add this copy of Geometry from a Differentiable Viewpoint to cart. $11.95, good condition, Sold by SRJCLIB1 rated 5.0 out of 5 stars, ships from Santa Rosa, CA, UNITED STATES, published 1995 by Cambridge University Press.
Add this copy of Geometry From a Differentiable Viewpoint to cart. $16.46, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 1995 by Cambridge University Press.
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Add this copy of Geometry from a Differentiable Viewpoint to cart. $17.50, new condition, Sold by Scholars Attic rated 5.0 out of 5 stars, ships from Lake Barrington, IL, UNITED STATES, published 1995 by Cambridge University Press.
Add this copy of Geometry From a Differentiable Viewpoint to cart. $19.03, good condition, Sold by BooksRun rated 4.0 out of 5 stars, ships from Philadelphia, PA, UNITED STATES, published 1995 by Cambridge University Press.
Add this copy of Geometry From a Differentiable Viewpoint to cart. $23.00, very good condition, Sold by The Avocado Pit rated 5.0 out of 5 stars, ships from Staunton, VA, UNITED STATES, published 1995 by Cambridge University Press.
Add this copy of Geometry From a Differential View to cart. $24.57, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1997 by Cambridge University Press.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has soft covers. Clean from markings. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 700grams, ISBN: 9780521424806.
Add this copy of Geometry From a Differential View to cart. $37.85, like new condition, Sold by Literary Cat Books rated 3.0 out of 5 stars, ships from Machynlleth, Powys, WALES, UNITED KINGDOM, published 2008 by Cambridge University Press.
Add this copy of Geometry From a Differentiable Viewpoint to cart. $45.48, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1995 by Cambridge University Press.
Add this copy of Geometry From a Differentiable Viewpoint to cart. $51.23, fair condition, Sold by BooksRun rated 4.0 out of 5 stars, ships from Philadelphia, PA, UNITED STATES, published 2012 by Cambridge University Press.
