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Original Essays | April 11, 2014

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1 Burnside - Bldg. 2 Mathematics- Geometry General
25 Remote Warehouse Mathematics- Vector Analysis

Tensor and Vector Analysis: With Applications to Differential Geometry (Dover Books on Mathematics)

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Tensor and Vector Analysis: With Applications to Differential Geometry (Dover Books on Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

Concise and user-friendly, this college-level text assumes only a knowledge of basic calculus in its elementary and gradual development of tensor theory. The introductory approach bridges the gap between mere manipulation and a genuine understanding of an important aspect of both pure and applied mathematics.

Beginning with a consideration of coordinate transformations and mappings, the treatment examines loci in three-space, transformation of coordinates in space and differentiation, tensor algebra and analysis, and vector analysis and algebra. Additional topics include differentiation of vectors and tensors, scalar and vector fields, and integration of vectors. The concluding chapter employs tensor theory to develop the differential equations of geodesics on a surface in several different ways to illustrate further differential geometry.

Synopsis:

Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.

Synopsis:

Assuming only a knowledge of basic calculus, this text presents an elementary and gradual development of tensor theory. From this treatment, the traditional material of courses on vector analysis is deduced as a particular case. In addition, the book forms an introduction to metric differential geometry. 1962 edition.

Table of Contents

1. Coordinate Transformations and Mappings
2. Loci in Three-Space
3. Transformation of Coordinates in Space; Differentiation
4. Tensor Algebra
5. Tensor Analysis
6. Vector Analysis
7. Vector Algebra
8. Differentiation of Vectors
9. Differentiation of Tensors
10. Scalar and Vector Fields
11. Integration of Vectors
12. Geodesic and Union Curves
Index
 

Product Details

ISBN:
9780486498010
Author:
Springer, C. E.
Publisher:
Dover Publications
Subject:
Vector Analysis
Subject:
Mathematics : Vector Analysis
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20121131
Binding:
TRADE PAPER
Language:
English
Illustrations:
43 Figures
Pages:
256
Dimensions:
9 x 6 in

Related Subjects

Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Differential Geometry
Science and Mathematics » Mathematics » Geometry » General
Science and Mathematics » Mathematics » Vector Analysis

Tensor and Vector Analysis: With Applications to Differential Geometry (Dover Books on Mathematics) New Trade Paper
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$19.95 In Stock
Product details 256 pages Dover Publications - English 9780486498010 Reviews:
"Synopsis" by ,
Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.
"Synopsis" by ,
Assuming only a knowledge of basic calculus, this text presents an elementary and gradual development of tensor theory. From this treatment, the traditional material of courses on vector analysis is deduced as a particular case. In addition, the book forms an introduction to metric differential geometry. 1962 edition.
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