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An Introduction to Differential Geometry—
$19.95
The Story
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.
Reprint of the Oxford University Press, London, 1959 edition.
differential geometry; tensor calculus; mathematics; science and mathematics; math studies; advanced mathematics; geometry; employing vector; classical theory; cartesian coefficients; coefficients compact; surface components; math reference; college math; advanced undergraduate; graduate studies; self study; basic theory; absolute calculus; riemannian geometry; engaging; career; realistic; scientists; science and math; school; students and teachers; tensors; theory of curves; vector methods; tensor calculus; tensor algebraDescription
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.
Reprint of the Oxford University Press, London, 1959 edition.
differential geometry; tensor calculus; mathematics; science and mathematics; math studies; advanced mathematics; geometry; employing vector; classical theory; cartesian coefficients; coefficients compact; surface components; math reference; college math; advanced undergraduate; graduate studies; self study; basic theory; absolute calculus; riemannian geometry; engaging; career; realistic; scientists; science and math; school; students and teachers; tensors; theory of curves; vector methods; tensor calculus; tensor algebra
