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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie A Differential Approach to Geometry
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A Differential Approach to Geometry
Francis Borceux (Taschenbuch, Englisch)
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Beschreibung
This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometrical notions. It includes a chapter that lists a very wide scope of plane curves and their properties. The… book approaches the threshold of algebraic topology, providing an integrated presentation fully accessible to undergraduate-level students. At the end of the 17th century, Newton and Leibniz developed differential calculus, thus making available the very wide range of differentiable functions, not just those constructed from polynomials. During the 18th century, Euler applied these ideas to establish what is still today the classical theory of most general curves and surfaces, largely used in engineering. Enter this fascinating world through amazing theorems and a wide supply of surprising examples. Reach the doors of algebraic topology by discovering just how an integer (= the Euler-Poincaré characteristics) associated with a surface gives you a lot of interesting information on the shape of the surface. And penetrate the intriguing world of Riemannian geometry, the geometry that underlies the theory of relativity. The book is of interest to all those who teach classical differential geometry up to quite an advanced level. The chapter on Riemannian geometry is of great interest to those who have to “intuitively” introduce students to the highly technical nature of this branch of mathematics, in particular when preparing students for courses on relativity. 139,09 €
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Technische Daten
Erscheinungsdatum
23.08.2016
Sprache
Englisch
EAN
9783319377476
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
Francis Borceux
Seitenanzahl
452
Einbandart
Taschenbuch
Buch Untertitel
Geometric Trilogy III
Autorenporträt
Francis Borceux is Professor of mathematics at the University of Louvain since many years. He has developed research in algebra and essentially taught geometry, number theory and algebra courses and he has been dean of the Faculty of Sciences of his University and chairman of the Mathematical Committee of the Belgian National Scientific Research Foundation.
Schlagwörter
53A04, 53A05, 53A45, 53A55, 53B20, 53C22, 53C45, Euler-Poincaré characteristics, Riemannian geometry, curves, differential geometry, surfaces
Thema-Inhalt
PBM - Geometrie
PBMP - Differentielle und Riemannsche Geometrie
PBX - Geschichte der Mathematik
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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