Differential Geometry

By Erwin Kreyszig

© 1959

This book is intended to meet the need for a text introducing advanced students in mathematics, physics, and engineering to the field of differential geometry. It is self-contained, requiring only a knowledge of the calculus. The material is presented in a simple and understandable but rigorous manner, accompanied by many examples which illustrate the ideas, methods, and results. The use of tensors is explained in detail, not omitting little formal tricks which are useful in their applications. Though never formalistic, it provides an introduction to Riemannian geometry.

The theory of curves and surfaces in three-dimensional Euclidean space is presented in a modern way, and applied to various classes of curves and surfaces which are of practical interest in mathematics and its applications to physical, cartographical, and engineering problems. Considerable space is given to explaining and illustrating basic concepts such as curve, arc length, surface, fundamental forms; covariant and contravariant vectors; covariant, contravariant and mixed tensors, etc.

Interesting problems are included and complete solutions are given at the end of the book, together with a list of the more important formulae. No pains have been spared in constructing suitable figures.

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Product Details

  • Series: Heritage
  • World Rights
  • Page Count: 394 pages
  • Dimensions: 6.0in x 1.0in x 9.0in
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SKU# SP005162

  • PUBLISHED DEC 1959

    From: $31.46

    Regular Price: $41.95

    ISBN 9781487592462
  • PUBLISHED DEC 1959

    From: $32.96

    Regular Price: $43.95

Quick Overview

This book is intended to meet the need for a text introducing advanced students in mathematics, physics, and engineering to the field of differential geometry. The material is presented in a simple and understandable but rigorous manner, accompanied by many examples which illustrate the ideas, methods, and results.

Differential Geometry

By Erwin Kreyszig

© 1959

This book is intended to meet the need for a text introducing advanced students in mathematics, physics, and engineering to the field of differential geometry. It is self-contained, requiring only a knowledge of the calculus. The material is presented in a simple and understandable but rigorous manner, accompanied by many examples which illustrate the ideas, methods, and results. The use of tensors is explained in detail, not omitting little formal tricks which are useful in their applications. Though never formalistic, it provides an introduction to Riemannian geometry.

The theory of curves and surfaces in three-dimensional Euclidean space is presented in a modern way, and applied to various classes of curves and surfaces which are of practical interest in mathematics and its applications to physical, cartographical, and engineering problems. Considerable space is given to explaining and illustrating basic concepts such as curve, arc length, surface, fundamental forms; covariant and contravariant vectors; covariant, contravariant and mixed tensors, etc.

Interesting problems are included and complete solutions are given at the end of the book, together with a list of the more important formulae. No pains have been spared in constructing suitable figures.

Continue Reading Read Less

Product Details

  • Series: Heritage
  • World Rights
  • Page Count: 394 pages
  • Dimensions: 6.0in x 1.0in x 9.0in
  • Author Information

    Erwin Kreyszig (1922-2008) was a professor of mathematics at Carleton University. After retirement from Carleton he was given the title of Distinguished Research Professor and continued to play an active role in the Department, maintaining his office and continuing his research.

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