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Introduction to Vectors and Tensors Volume 1

Updated 2010 Introduction TO Vectors AND Tensors linear and Multilinear algebra Volume 1 Ray M. Bowen Mechanical Engineering Texas A&M University College Station, Texas and Wang Mathematical Sciences Rice University Houston, Texas Copyright Ray M. Bowen and Wang (ISBN 0-306-37508-7 (v. 1)) iii _____ PREFACE To Volume 1 This work represents our effort to present the basic concepts of vector and tensor analysis. Volume I begins with a brief discussion of algebraic structures followed by a rather detailed discussion of the algebra of Vectors and Tensors . Volume II begins with a discussion of Euclidean Manifolds which leads to a development of the analytical and geometrical aspects of vector and tensor fields.

course. We feel Volume I is suitable for an introductory linear algebra course of one semester. Given this course, or an equivalent, Volume II is suitable for a one semester course on vector and tensor analysis. Many exercises are included in each volume. However, it is likely that teachers will wish to generate additional exercises.

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