A Differential Approach to Geometry | Geometric Trilogy III | Francis Borceux | Buch | HC runder Rücken kaschiert | XVI | Englisch | 2013 | Springer International Publishing | EAN 9783319017358 - gebunden oder broschiert
2013, ISBN: 9783319017358
[ED: Gebunden], [PU: Springer International Publishing], This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces i… Mehr…
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A Differential Approach to Geometry Geometric Trilogy III - gebunden oder broschiert
2013, ISBN: 3319017357
2014 Gebundene Ausgabe Differenzialgeometrie, Geometrie / Differenzialgeometrie, Geometrie, Raumlehre, Mathematik / Geschichte, Geschichte der Mathematik, 53A04, 53A05, 53A45, 53A55, 53… Mehr…
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A Differential Approach to Geometry Geometric Trilogy III - gebunden oder broschiert
2013, ISBN: 3319017357
2014 Gebundene Ausgabe Differenzialgeometrie, Geometrie / Differenzialgeometrie, Geometrie, Raumlehre, Mathematik / Geschichte, Geschichte der Mathematik, 53A04, 53A05, 53A45, 53A55, 53… Mehr…
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A Differential Approach to Geometry - neues Buch
2014, ISBN: 3319017357
This third volume in a trilogy of texts on geometry guides students through the development of differential geometry. It links classical surface theory with modern Riemannian geometry and… Mehr…
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2014, ISBN: 9783319017358
*A Differential Approach to Geometry* - Geometric Trilogy III. Auflage 2014 / gebundene Ausgabe für 138.99 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher, Springer … Mehr…
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A Differential Approach to Geometry | Geometric Trilogy III | Francis Borceux | Buch | HC runder Rücken kaschiert | XVI | Englisch | 2013 | Springer International Publishing | EAN 9783319017358 - gebunden oder broschiert
2013, ISBN: 9783319017358
[ED: Gebunden], [PU: Springer International Publishing], This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces i… Mehr…
Borceux, Francis:
A Differential Approach to Geometry Geometric Trilogy III - gebunden oder broschiert2013, ISBN: 3319017357
2014 Gebundene Ausgabe Differenzialgeometrie, Geometrie / Differenzialgeometrie, Geometrie, Raumlehre, Mathematik / Geschichte, Geschichte der Mathematik, 53A04, 53A05, 53A45, 53A55, 53… Mehr…
A Differential Approach to Geometry Geometric Trilogy III - gebunden oder broschiert
2013
ISBN: 3319017357
2014 Gebundene Ausgabe Differenzialgeometrie, Geometrie / Differenzialgeometrie, Geometrie, Raumlehre, Mathematik / Geschichte, Geschichte der Mathematik, 53A04, 53A05, 53A45, 53A55, 53… Mehr…
A Differential Approach to Geometry - neues Buch
2014, ISBN: 3319017357
This third volume in a trilogy of texts on geometry guides students through the development of differential geometry. It links classical surface theory with modern Riemannian geometry and… Mehr…
2014, ISBN: 9783319017358
*A Differential Approach to Geometry* - Geometric Trilogy III. Auflage 2014 / gebundene Ausgabe für 138.99 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher, Springer … Mehr…
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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 relativi
Detailangaben zum Buch - A Differential Approach to Geometry
EAN (ISBN-13): 9783319017358
ISBN (ISBN-10): 3319017357
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2013
Herausgeber: Springer International Publishing
Buch in der Datenbank seit 2008-02-05T16:53:30+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-05-10T08:52:55+02:00 (Berlin)
ISBN/EAN: 3319017357
ISBN - alternative Schreibweisen:
3-319-01735-7, 978-3-319-01735-8
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: francis borceux
Titel des Buches: differential geometry, francis borceux
Daten vom Verlag:
Autor/in: Francis Borceux
Titel: A Differential Approach to Geometry - Geometric Trilogy III
Verlag: Springer; Springer International Publishing
452 Seiten
Erscheinungsjahr: 2013-11-19
Cham; CH
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
139,09 € (DE)
142,99 € (AT)
153,50 CHF (CH)
POD
XVI, 452 p. 159 illus.
BB; Hardcover, Softcover / Mathematik/Geometrie; Geometrie; Verstehen; 53A04, 53A05, 53A45, 53A55, 53B20, 53C22, 53C45; Euler-Poincaré characteristics; Riemannian geometry; curves; differential geometry; surfaces; Geometry; Differential Geometry; History of Mathematical Sciences; Differentielle und Riemannsche Geometrie; Geschichte der Mathematik; EA; BC
Introduction.- Preface.- 1.The Genesis of Differential Methods.- 2.Plane Curves.- 3.A Museum of Curves.- 4.Skew Curves.- 5.Local Theory of Surfaces.- 6.Towards Riemannian Geometry.- 7.Elements of Global Theory of Surfaces.- Appendices: A.Topology.- B.Differential Equations.- Index.- Bibliography.Pays particular attention to historical development and preliminary approaches that support the contemporary geometrical notions Links classical surface theory in the three dimensional real space to modern Riemannian geometry Can be used to teach classical differential geometry up to an advanced level ? Includes supplementary material: sn.pub/extras
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