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The book emphasizes the geometric content of the subject, aiming to quickly cover fundamental topics such as the isoperimetric inequality and the Gauss¿Bonnet theorem. This approach allows the author to extend beyond the typical content of introductory books and include additional important geometric results, such as curves and surfaces of constant width, the classification of complete surfaces of non-negative constant curvature, and Hadamard's theorem on surfaces of non-positive curvature. This range of topics offers greater variety for an introductory course.
The book emphasizes the geometric content of the subject, aiming to quickly cover fundamental topics such as the isoperimetric inequality and the Gauss¿Bonnet theorem. This approach allows the author to extend beyond the typical content of introductory books and include additional important geometric results, such as curves and surfaces of constant width, the classification of complete surfaces of non-negative constant curvature, and Hadamard's theorem on surfaces of non-positive curvature. This range of topics offers greater variety for an introductory course.
Paulo Ventura Araújo graduated with a degree in Mathematics from the University of Porto and obtained his doctorate from the University of Warwick. Currently, he is a professor at the Faculty of Sciences in Porto.
Preface.- Differentiable Curves.- Regular Surfaces.- The Geometry of the Gauss Map.- The Intrinsic Geometry of Surfaces.- The Global Geometry of Surfaces.- References.- Index.
| Erscheinungsjahr: | 2024 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
viii
185 S. |
| ISBN-13: | 9783031623837 |
| ISBN-10: | 3031623835 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Araújo, Paulo Ventura |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 11 mm |
| Von/Mit: | Paulo Ventura Araújo |
| Erscheinungsdatum: | 09.07.2024 |
| Gewicht: | 0,306 kg |
Paulo Ventura Araújo graduated with a degree in Mathematics from the University of Porto and obtained his doctorate from the University of Warwick. Currently, he is a professor at the Faculty of Sciences in Porto.
Preface.- Differentiable Curves.- Regular Surfaces.- The Geometry of the Gauss Map.- The Intrinsic Geometry of Surfaces.- The Global Geometry of Surfaces.- References.- Index.
| Erscheinungsjahr: | 2024 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
viii
185 S. |
| ISBN-13: | 9783031623837 |
| ISBN-10: | 3031623835 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Araújo, Paulo Ventura |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 11 mm |
| Von/Mit: | Paulo Ventura Araújo |
| Erscheinungsdatum: | 09.07.2024 |
| Gewicht: | 0,306 kg |
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