Differential Geometry of Curves and Surfaces (Paperback)

Kristopher Tapp

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Idioma: inglés

Editorial: Springer International Publishing AG, Cham, 2018

3319819690 / 9783319819693

Serie: Libro 147 de 170 - Undergraduate Texts in Mathematics

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Paperback. This is a textbook on differential geometry well-suited to a variety of courses on this topic. For readers seeking an elementary text, the prerequisites are minimal and include plenty of examples and intermediate steps within proofs, while providing an invitation to more excursive applications and advanced topics. For readers bound for graduate school in math or physics, this is a clear, concise, rigorous development of the topic including the deep global theorems. For the benefit of all readers, the author employs various techniques to render the difficult abstract ideas herein more understandable and engaging.Over 300 color illustrations bring the mathematics to life, instantly clarifying concepts in ways that grayscale could not. Green-boxed definitions and purple-boxed theorems help to visually organize the mathematical content. Color is even used within the text to highlight logical relationships.Applications abound! The study of conformal and equiareal functions is grounded in its application to cartography. Evolutes, involutes and cycloids are introduced through Christiaan Huygens' fascinating story: in attempting to solve the famous longitude problem with a mathematically-improved pendulum clock, he invented mathematics that would later be applied to optics and gears. Clairauts Theorem is presented as a conservation law for angular momentum. Greens Theorem makes possible a drafting tool called a planimeter. Foucaults Pendulum helps one visualize a parallel vector field along a latitude of the earth. Even better, a south-pointing chariot helps one visualize a parallel vector field along any curve in any surface.In truth, the most profound application of differential geometry is to modern physics, which is beyond the scope of this book. The GPS in any car wouldnt work without general relativity, formalized through the language of differential geometry. Throughout this book,applications, metaphors and visualizations are tools that motivate and clarify the rigorous mathematical content, but never replace it. Even better, a south-pointing chariot helps one visualize a parallel vector field along any curve in any surface.In truth, the most profound application of differential geometry is to modern physics, which is beyond the scope of this book. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

N° de ref. del artículo 9783319819693

Título
Differential Geometry of Curves and Surfaces (Paperback)
Autor
Kristopher Tapp
Editorial
Springer International Publishing AG, Cham
Año de publicación
2018
Estado
new
Encuadernación
Paperback
Idioma
inglés
ISBN 10
3319819690
ISBN 13
9783319819693
Serie
Libro 147 de 170: Undergraduate Texts in Mathematics

AussieBookSeller

Truganina, VIC, Australia

Vendedor de 5 estrellas

Vendedor de IberLibro desde 22 de junio de 2007

Tarifas de envío de Australia a Estados Unidos de America

ArtículoDe 25 a 45 días hábilesDe 8 a 14 días hábiles
Primer artículoEUR 33,09EUR 39,35
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Truganina, VIC Australia 3029