Curves and Surfaces (Graduate Studies in Mathematics)

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9780821847633: Curves and Surfaces (Graduate Studies in Mathematics)

This introductory textbook puts forth a clear and focused point of view on the differential geometry of curves and surfaces. Following the modern point of view on differential geometry, the book emphasizes the global aspects of the subject. The excellent collection of examples and exercises (with hints) will help students in learning the material. Advanced undergraduates and graduate students will find this a nice entry point to differential geometry. In order to study the global properties of curves and surfaces, it is necessary to have more sophisticated tools than are usually found in textbooks on the topic. In particular, students must have a firm grasp on certain topological theories. Indeed, this monograph treats the Gauss-Bonnet theorem and discusses the Euler characteristic. The authors also cover Alexandrov's theorem on embedded compact surfaces in $\mathbb{R}^3$ with constant mean curvature. The last chapter addresses the global geometry of curves, including periodic space curves and the four-vertices theorem for plane curves that are not necessarily convex. Besides being an introduction to the lively subject of curves and surfaces, this book can also be used as an entry to a wider study of differential geometry. It is suitable as the text for a first-year graduate course or an advanced undergraduate course.

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Review:

With its readable style and the completeness of its exposition, this would be a very good candidate for an introductory graduate course in differential geometry or for self-study. --MAA Reviews

This book is a nice introduction to differential geometry with contemporary emphasis on aspects of a global nature. --Mathematical Reviews

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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1.

SEBASTIAN MONTIEL
ISBN 10: 0821847635 ISBN 13: 9780821847633
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Descrizione libro 2009. Soft cover. Condizione libro: New. This book is BRAND NEW Soft cover International edition with black and white printing. ISBN number & cover page may be different but contents identical to the US edition word by word. Book is in English language. Codice libro della libreria UN-STOCK-UPIN-1449

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2.

Montiel, Sebastian;Ros, Antonio
Editore: Providence, Rhode Island, U.S.A.: Amer Mathematical Society (2009)
ISBN 10: 0821847635 ISBN 13: 9780821847633
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Descrizione libro Providence, Rhode Island, U.S.A.: Amer Mathematical Society, 2009. Soft cover. Condizione libro: New. This book is BRAND NEW Soft cover International edition with black and white printing. ISBN number and cover page may be different but contents identical to the US edition word by word. Book is in English language. Codice libro della libreria up1013

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Sebastian Montiel and Antonio Ros
Editore: American Mathematical Society (2009)
ISBN 10: 0821847635 ISBN 13: 9780821847633
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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. Codice libro della libreria SONG0821847635

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Sebastian Montiel and Antonio Ros
Editore: American Mathematical Society (2009)
ISBN 10: 0821847635 ISBN 13: 9780821847633
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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. Brand new. We distribute directly for the publisher. This introductory textbook puts forth a clear and focused point of view on the differential geometry of curves and surfaces. Following the modern point of view on differential geometry, the book emphasizes the global aspects of the subject. The excellent collection of examples and exercises (with hints) will help students in learning the material. Advanced undergraduates and graduate students will find this a nice entry point to differential geometry.In order to study the global properties of curves and surfaces, it is necessary to have more sophisticated tools than are usually found in textbooks on the topic. In particular, students must have a firm grasp on certain topological theories. Indeed, this monograph treats the Gauss-Bonnet theorem and discusses the Euler characteristic. The authors also cover Alexandrov's theorem on embedded compact surfaces in $\mathbb{R}^3$ with constant mean curvature. The last chapter addresses the global geometry of curves, including periodic space curves and the four-vertices theorem for plane curves that are not necessarily convex.Besides being an introduction to the lively subject of curves and surfaces, this book can also be used as an entry to a wider study of differential geometry. It is suitable as the text for a first-year graduate course or an advanced undergraduate course.A co-publication of the AMS and Real Sociedad Matemática Española (RSME). Codice libro della libreria 1005120107

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5.

Sebastian Montiel, Antonio Ros
Editore: American Mathematical Society, United States (2009)
ISBN 10: 0821847635 ISBN 13: 9780821847633
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Descrizione libro American Mathematical Society, United States, 2009. Hardback. Condizione libro: New. 2nd Revised edition. Language: English . Brand New Book. This introductory textbook puts forth a clear and focused point of view on the differential geometry of curves and surfaces. Following the modern point of view on differential geometry, the book emphasizes the global aspects of the subject. The excellent collection of examples and exercises (with hints) will help students in learning the material. Advanced undergraduates and graduate students will find this a nice entry point to differential geometry. In order to study the global properties of curves and surfaces, it is necessary to have more sophisticated tools than are usually found in textbooks on the topic. In particular, students must have a firm grasp on certain topological theories. Indeed, this monograph treats the Gauss - Bonnet theorem and discusses the Euler characteristic. The authors also cover Alexandrov s theorem on embedded compact surfaces in R3 with constant mean curvature. The last chapter addresses the global geometry of curves, including periodic space curves and the four-vertices theorem for plane curves that are not necessarily convex.Besides being an introduction to the lively subject of curves and surfaces, this book can also be used as an entry to a wider study of differential geometry. It is suitable as the text for a first-year graduate course or an advanced undergraduate course. Codice libro della libreria AAN9780821847633

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6.

Sebastian Montiel, Antonio Ros
Editore: American Mathematical Society, United States (2009)
ISBN 10: 0821847635 ISBN 13: 9780821847633
Nuovi Rilegato Quantità: 1
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The Book Depository US
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Descrizione libro American Mathematical Society, United States, 2009. Hardback. Condizione libro: New. 2nd Revised edition. Language: English . Brand New Book. This introductory textbook puts forth a clear and focused point of view on the differential geometry of curves and surfaces. Following the modern point of view on differential geometry, the book emphasizes the global aspects of the subject. The excellent collection of examples and exercises (with hints) will help students in learning the material. Advanced undergraduates and graduate students will find this a nice entry point to differential geometry. In order to study the global properties of curves and surfaces, it is necessary to have more sophisticated tools than are usually found in textbooks on the topic. In particular, students must have a firm grasp on certain topological theories. Indeed, this monograph treats the Gauss - Bonnet theorem and discusses the Euler characteristic. The authors also cover Alexandrov s theorem on embedded compact surfaces in R3 with constant mean curvature. The last chapter addresses the global geometry of curves, including periodic space curves and the four-vertices theorem for plane curves that are not necessarily convex.Besides being an introduction to the lively subject of curves and surfaces, this book can also be used as an entry to a wider study of differential geometry. It is suitable as the text for a first-year graduate course or an advanced undergraduate course. Codice libro della libreria AAN9780821847633

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Sebastian Montiel and Antonio Ros
Editore: American Mathematical Society (2009)
ISBN 10: 0821847635 ISBN 13: 9780821847633
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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. 2. Codice libro della libreria DADAX0821847635

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Descrizione libro American Mathematical Society. Hardback. Condizione libro: new. BRAND NEW, Curves and Surfaces (2nd Revised edition), Sebastian Montiel, Antonio Ros, This introductory textbook puts forth a clear and focused point of view on the differential geometry of curves and surfaces. Following the modern point of view on differential geometry, the book emphasizes the global aspects of the subject. The excellent collection of examples and exercises (with hints) will help students in learning the material. Advanced undergraduates and graduate students will find this a nice entry point to differential geometry. In order to study the global properties of curves and surfaces, it is necessary to have more sophisticated tools than are usually found in textbooks on the topic. In particular, students must have a firm grasp on certain topological theories. Indeed, this monograph treats the Gauss - Bonnet theorem and discusses the Euler characteristic. The authors also cover Alexandrov's theorem on embedded compact surfaces in R3 with constant mean curvature. The last chapter addresses the global geometry of curves, including periodic space curves and the four-vertices theorem for plane curves that are not necessarily convex. Besides being an introduction to the lively subject of curves and surfaces, this book can also be used as an entry to a wider study of differential geometry. It is suitable as the text for a first-year graduate course or an advanced undergraduate course. Codice libro della libreria B9780821847633

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Sebastian Montiel and Antonio Ros
Editore: American Mathematical Society (2009)
ISBN 10: 0821847635 ISBN 13: 9780821847633
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Irish Booksellers
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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. book. Codice libro della libreria 0821847635

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Montiel, Sebastian/ Ros, Antonio
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ISBN 10: 0821847635 ISBN 13: 9780821847633
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Revaluation Books
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Descrizione libro Amer Mathematical Society, 2009. Hardcover. Condizione libro: Brand New. 2nd edition. 386 pages. 10.20x7.10x0.80 inches. In Stock. Codice libro della libreria __0821847635

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