Read e-book online Worlds Out of Nothing: A Course in the History of Geometry PDF

By Jeremy Gray

ISBN-10: 0857290592

ISBN-13: 9780857290595

Based at the most up-to-date old study, Worlds Out of not anything is the 1st ebook to supply a direction at the heritage of geometry within the nineteenth century. themes lined within the first a part of the booklet are projective geometry, particularly the idea that of duality, and non-Euclidean geometry. The publication then strikes directly to the learn of the singular issues of algebraic curves (Plücker’s equations) and their function in resolving a paradox within the concept of duality; to Riemann’s paintings on differential geometry; and to Beltrami’s function in effectively constructing non-Euclidean geometry as a rigorous mathematical topic. the ultimate a part of the booklet considers how projective geometry rose to prominence, and appears at Poincaré’s principles approximately non-Euclidean geometry and their actual and philosophical importance.


Three chapters are dedicated to writing and assessing paintings within the background of arithmetic, with examples of pattern questions within the topic, recommendation on tips to write essays, and reviews on what teachers could be having a look for.

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Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century (Springer Undergraduate Mathematics Series) by Jeremy Gray


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