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Differential Geometry
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Differential Geometry

2024 ed.

Book Details

Format Paperback / Softback
ISBN-10 3031623835
ISBN-13 9783031623837
Edition 2024 ed.
Publisher Springer International Publishing AG
Imprint Springer International Publishing AG
Country of Manufacture GB
Country of Publication GB
Publication Date Jul 9th, 2024
Print length 185 Pages
Weight 310 grams
Dimensions 15.40 x 24.30 x 1.50 cms
Product Classification: Differential & Riemannian geometry
Ksh 6,650.00
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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.

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