An Introduction to Differential Geometry
Willmore, T. J.
- 出版商: Dover Publications
- 出版日期: 2012-02-15
- 售價: $920
- 貴賓價: 9.5 折 $874
- 語言: 英文
- 頁數: 317
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0486486184
- ISBN-13: 9780486486185
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相關分類:
微積分 Calculus、物理學 Physics
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商品描述
A solid introduction to the methods of differential geometry and tensor calculus, this volume is suitable for advanced undergraduate and graduate students of mathematics, physics, and engineering. Rather than a comprehensive account, it offers an introduction to the essential ideas and methods of differential geometry.
Part 1 begins by employing vector methods to explore the classical theory of curves and surfaces. An introduction to the differential geometry of surfaces in the large provides students with ideas and techniques involved in global research. Part 2 introduces the concept of a tensor, first in algebra, then in calculus. It covers the basic theory of the absolute calculus and the fundamentals of Riemannian geometry. Worked examples and exercises appear throughout the text.
Part 1 begins by employing vector methods to explore the classical theory of curves and surfaces. An introduction to the differential geometry of surfaces in the large provides students with ideas and techniques involved in global research. Part 2 introduces the concept of a tensor, first in algebra, then in calculus. It covers the basic theory of the absolute calculus and the fundamentals of Riemannian geometry. Worked examples and exercises appear throughout the text.
作者簡介
The author of four influential books on differential geometry, T. J. Willmore (1919-2005) was a Professor at the University of Durham and Liverpool University. He is best remembered as the developer of a branch of differential geometry known as Willmore surfaces, an area with applications extending to particle physics and colloidal chemistry.
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