Riemannian Geometry

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9780817634902: Riemannian Geometry

Riemannian Geometry 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. A 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.

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Recensione:

"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

"This is a very nice introduction to global Riemannian geometry, which leads the reader quickly to the heart of the topic. Nevertheless, classical results are also discussed on many occasions, and almost 60 pages are devoted to exercises."

–Newsletter of the EMS

"In the reviewer's opinion, this is a superb book which makes learning a real pleasure."

—Revue Romaine de Mathematiques Pures et Appliquees

"This mainstream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises."

—Monatshefte F. Mathematik

Contenuti:

Preface to the 1st edition * Preface to the 2nd edition * Preface to the English edition * How to use this book * 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 * Index

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Manfredo Perdigao Do Carmo
Editore: BIRKHAUSER BOSTON INC, United States (2013)
ISBN 10: 0817634908 ISBN 13: 9780817634902
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Descrizione libro BIRKHAUSER BOSTON INC, United States, 2013. Hardback. Condizione libro: New. 1st ed. 1992, Corr. 14th printing 2013. 236 x 168 mm. Language: English . Brand New Book. Riemannian Geometry 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. A 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. Codice libro della libreria AAC9780817634902

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Manfredo Perdigao Do Carmo
Editore: BIRKHAUSER BOSTON INC, United States (2013)
ISBN 10: 0817634908 ISBN 13: 9780817634902
Nuovi Rilegato Quantità: 10
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Descrizione libro BIRKHAUSER BOSTON INC, United States, 2013. Hardback. Condizione libro: New. 1st ed. 1992, Corr. 14th printing 2013. 236 x 168 mm. Language: English . Brand New Book. Riemannian Geometry 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. A 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. Codice libro della libreria AAC9780817634902

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MANFREDO P. DO CARMO
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ISBN 10: 0817634908 ISBN 13: 9780817634902
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Descrizione libro Birkhäuser, 1992. Hardback. Condizione libro: NEW. 9780817634902 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0399432

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Flaherty, Francis
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Descrizione libro 2013. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780817634902

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Manfredo Perdigao do Carmo
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Descrizione libro Birkhauser Boston Inc, 1992. HRD. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780817634902

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Francis Flaherty
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ISBN 10: 0817634908 ISBN 13: 9780817634902
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Descrizione libro Birkhäuser Boston 1992-01-01, Boston, 1992. hardback. Condizione libro: New. Codice libro della libreria 9780817634902

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Carmo, Manfredo Perdig~Ao Do
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ISBN 10: 0817634908 ISBN 13: 9780817634902
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Descrizione libro Birkhauser, China, 2008. Soft cover. Condizione libro: Brand New. 12mo - over 6¾ - 7¾" tall. International edition Brand New SOFT COVER standard delivery. Codice libro della libreria 001323

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Descrizione libro Birkhauser Boston Inc. Hardback. Condizione libro: new. BRAND NEW, Riemannian Geometry (1st ed. 1992. Corr. 14th printing 2013), Manfredo Perdigao do Carmo, Francis Flaherty, Riemannian Geometry 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. A 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. Codice libro della libreria B9780817634902

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do Carmo, Manfredo P.
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Descrizione libro Birkhäuser, 2013. Hardcover. Condizione libro: New. book. Codice libro della libreria 0817634908

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Manfredo P. Do Carmo
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Descrizione libro Birkhauser. Hardcover. Condizione libro: New. Hardcover. 320 pages. Dimensions: 9.3in. x 6.6in. x 0.8in.Riemannian Geometry 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 authors 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. A 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 students understanding and extend knowledge and insight into the subject. Instructors and students alike will find the work to bea significant contribution to this highly applicable and stimulating subject. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Hardcover. Codice libro della libreria 9780817634902

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