Differential Geometry of Curves and Surfaces (Hardcover)
Language: English
Published by Springer International Publishing AG, Cham, 2016
Series: Book 147 of 170 - Undergraduate Texts in Mathematics
- First Edition
- Hardcover
- New

Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail
AbeBooks seller since October 12, 2005
Condition: New
£ 80.15
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Add to basketItem description from seller
Hardcover. 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 multiple locations in the US or from the UK, depending on stock availability.…
Seller Inventory # 9783319397986
- Title
- Differential Geometry of Curves and Surfaces (Hardcover)
- Author
- Kristopher Tapp
- Publisher
- Springer International Publishing AG, Cham
- Publication year
- 2016
- Condition
- new
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3319397982
- ISBN 13
- 9783319397986
- Edition
- 1st Edition
- Series
- Book 147 of 170: Undergraduate Texts in Mathematics
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Grand Eagle Retail
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AbeBooks seller since October 12, 2005
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