A First Course in Differential Geometry (Hardcover)

Idioma: inglés

Editorial: Cambridge University Press, Cambridge, 2018

1108424937 / 9781108424936

Librería: CitiRetail, Stevenage, Reino UnidoCitiRetail

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Hardcover. Differential geometry is the study of curved spaces using the techniques of calculus. It is a mainstay of undergraduate mathematics education and a cornerstone of modern geometry. It is also the language used by Einstein to express general relativity, and so is an essential tool for astronomers and theoretical physicists. This introductory textbook originates from a popular course given to third year students at Durham University for over twenty years, first by the late L. M. Woodward and later by John Bolton (and others). It provides a thorough introduction by focusing on the beginnings of the subject as studied by Gauss: curves and surfaces in Euclidean space. While the main topics are the classics of differential geometry - the definition and geometric meaning of Gaussian curvature, the Theorema Egregium, geodesics, and the GaussBonnet Theorem - the treatment is modern and student-friendly, taking direct routes to explain, prove and apply the main results. It includes many exercises to test students' understanding of the material, and ends with a supplementary chapter on minimal surfaces that could be used as an extension towards advanced courses or as a source of student projects. This textbook covers the classical topics of differential geometry of surfaces as studied by Gauss: the definition and geometric meaning of Gaussian curvature, the Theorema Egregium, geodesics, and the GaussBonnet Theorem. It is suitable for upper-level undergraduates and contains plentiful examples and exercises, with solutions to selected problems. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

N° de ref. del artículo 9781108424936

Título
A First Course in Differential Geometry (Hardcover)
Autor
John Bolton
Editorial
Cambridge University Press, Cambridge
Año de publicación
2018
Estado
new
Encuadernación
Hardcover
Idioma
inglés
ISBN 10
1108424937
ISBN 13
9781108424936

CitiRetail

Stevenage, Reino Unido

Vendedor de 5 estrellas

Vendedor de AbeBooks desde el 29 de junio de 2022

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Primer artículoEUR 43,13EUR 43,13
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