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Cover: 9780817634902 | Riemannian Geometry | Manfredo Perdigao do Carmo | Buch | Englisch
Bild: 9780817634902 | Riemannian Geometry | Manfredo Perdigao do Carmo | Buch | Englisch
Cover: 9780817634902 | Riemannian Geometry | Manfredo Perdigao do Carmo | Buch | Englisch
Bild: 9780817634902 | Riemannian Geometry | Manfredo Perdigao do Carmo | Buch | Englisch
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Riemannian Geometry
Buch von Manfredo Perdigao do Carmo
Sprache: Englisch

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Beschreibung
piRiemannian Geometry/i is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics. The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems. It is elementary, assuming only a modest background from readers, making it suitable for a wide variety of students and course structures. Its selection of topics has been deemed "superb" by teachers who have used the text. /ppA significant feature of the book is its powerful and revealing structure, beginning simply with the definition of a differentiable manifold and ending with one of the most important results in Riemannian geometry, a proof of the Sphere Theorem. The text abounds with basic definitions and theorems, examples, applications, and numerous exercises to test the student's understanding and extend knowledge and insight into the subject. Instructors and students alike will find the work to be a significant contribution to this highly applicable and stimulating subject./p
piRiemannian Geometry/i is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics. The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems. It is elementary, assuming only a modest background from readers, making it suitable for a wide variety of students and course structures. Its selection of topics has been deemed "superb" by teachers who have used the text. /ppA significant feature of the book is its powerful and revealing structure, beginning simply with the definition of a differentiable manifold and ending with one of the most important results in Riemannian geometry, a proof of the Sphere Theorem. The text abounds with basic definitions and theorems, examples, applications, and numerous exercises to test the student's understanding and extend knowledge and insight into the subject. Instructors and students alike will find the work to be a significant contribution to this highly applicable and stimulating subject./p
Zusammenfassung
"This is one of the best (if even not just the best) book for
those who want to get a good, smooth and quick, but yet thorough
introduction to modern Riemannian geometry." ---Publicationes
Mathematicae
"In the reviewer's opinion, this is a superb book which makes
learning a real pleasure." ---Revue Romaine de Mathematiques Pures et
Appliquees
"This main-stream presentation of differential geometry serves
well for a course on Riemannian geometry, and it is complemented by
many annotated exercises." ---Monatshefte F. Mathematik
Inhaltsverzeichnis
0-Differentiable Manifolds.- 1-Riemannian Metrics.- 2-Affine Connections; Riemannian Connections.- 3-Geodesics; Convex Neighborhoods.- 4-Curvature.- 5-Jacobi Fields.- 6-Isometric Immersions.- 7-Complete Manifolds; Hopf-Rinow and Hadamard Theorems.- 8-Spaces of Constant Curvature.- 9-Variations of Energy.- 10-The Rauch Comparison Theorem.- 11-The Morse Index Theorem.- 12-The Fundamental Group of Manifolds of Negative Curvature.- 13-The Sphere Theorem.- References.
Details
Erscheinungsjahr: 1992
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Mathematics: Theory and Applications
Inhalt: xv
300 S.
ISBN-13: 9780817634902
9783764334901
ISBN-10: 0817634908
3764334908
Sprache: Englisch
Einband: Gebunden
Autor: Carmo, Manfredo Perdigao do
Übersetzung: Francis Flaherty
Auflage: Nachdruck
Hersteller: Birkh„user Boston
Springer-Verlag GmbH
Birkhäuser
Abbildungen: Mit Abb.
Maße: 241 x 159 x 25 mm
Von/Mit: Manfredo Perdigao do Carmo
Erscheinungsdatum: 01.01.1992
Gewicht: 0,622 kg
Artikel-ID: 102410978
Zusammenfassung
"This is one of the best (if even not just the best) book for
those who want to get a good, smooth and quick, but yet thorough
introduction to modern Riemannian geometry." ---Publicationes
Mathematicae
"In the reviewer's opinion, this is a superb book which makes
learning a real pleasure." ---Revue Romaine de Mathematiques Pures et
Appliquees
"This main-stream presentation of differential geometry serves
well for a course on Riemannian geometry, and it is complemented by
many annotated exercises." ---Monatshefte F. Mathematik
Inhaltsverzeichnis
0-Differentiable Manifolds.- 1-Riemannian Metrics.- 2-Affine Connections; Riemannian Connections.- 3-Geodesics; Convex Neighborhoods.- 4-Curvature.- 5-Jacobi Fields.- 6-Isometric Immersions.- 7-Complete Manifolds; Hopf-Rinow and Hadamard Theorems.- 8-Spaces of Constant Curvature.- 9-Variations of Energy.- 10-The Rauch Comparison Theorem.- 11-The Morse Index Theorem.- 12-The Fundamental Group of Manifolds of Negative Curvature.- 13-The Sphere Theorem.- References.
Details
Erscheinungsjahr: 1992
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Mathematics: Theory and Applications
Inhalt: xv
300 S.
ISBN-13: 9780817634902
9783764334901
ISBN-10: 0817634908
3764334908
Sprache: Englisch
Einband: Gebunden
Autor: Carmo, Manfredo Perdigao do
Übersetzung: Francis Flaherty
Auflage: Nachdruck
Hersteller: Birkh„user Boston
Springer-Verlag GmbH
Birkhäuser
Abbildungen: Mit Abb.
Maße: 241 x 159 x 25 mm
Von/Mit: Manfredo Perdigao do Carmo
Erscheinungsdatum: 01.01.1992
Gewicht: 0,622 kg
Artikel-ID: 102410978
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