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Google圖書搜尋
Introduction to Vectors and Tensors
Ray M. Bowen
Chao-cheng Wang
其他書名
Linear and Multilinear Algebra
出版
Springer US
, 1976-05-31
主題
Mathematics / Algebra / Linear
Mathematics / Calculus
Mathematics / Vector Analysis
Technology & Engineering / General
Technology & Engineering / Engineering (General)
ISBN
0306375087
9780306375088
URL
http://books.google.com.hk/books?id=JwDvAAAAMAAJ&hl=&source=gbs_api
註釋
To Volume 1 This work represents our effort to present the basic concepts of vector and tensor analysis. Volume 1 begins with a brief discussion of algebraic structures followed by a rather detailed discussion of the algebra of vectors and tensors. Volume 2 begins with a discussion of Euclidean manifolds, which leads to a development of the analytical and geometrical aspects of vector and tensor fields. We have not included a discussion of general differentiable manifolds. However, we have included a chapter on vector and tensor fields defined on hypersurfaces in a Euclidean manifold. In preparing this two-volume work, our intention was to present to engineering and science students a modern introduction to vectors and tensors. Traditional courses on applied mathematics have emphasized problem-solving techniques rather than the systematic development of concepts. As a result, it is possible for such courses to become terminal mathematics courses rather than courses which equip the student to develop his or her understanding further.