Differential Geometry

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  • Engels
  • Paperback
  • 9783031623837
  • 31 juli 2024
  • 224 pagina's
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This textbook provides a concise introduction to the differential geometry of curves and surfaces in three-dimensional space, tailored for undergraduate students with a solid foundation in mathematical analysis and linear algebra.

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.



This textbook provides a concise introduction to the differential geometry of curves and surfaces in three-dimensional space, tailored for undergraduate students with a solid foundation in mathematical analysis and linear algebra.

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.

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Inhoud

Taal
en
Bindwijze
Paperback
Oorspronkelijke releasedatum
31 juli 2024
Aantal pagina's
224

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Hoofdauteur
Paulo Ventura Araújo

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Product breedte
155 mm
Product lengte
235 mm
Verpakking breedte
155 mm
Verpakking lengte
235 mm

EAN

EAN
9783031623837

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