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bowen r introduction vectors tensors vol 1 2ed 2008

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Textbook in PDF format Exactly coincides with the Dover 2nd edition. Offers both an introduction and an in-depth survey. Geared toward engineering and science students rather than mathematicians, its less rigorous treatment focuses on physics and engineering applications, building upon the systematic development of concepts rather than emphasizing mathematical problem-solving techniques. But also a practical reference for professionals, it is suitable for advanced undergraduate and graduate students. Volume I begins with a brief discussion of algebraic structures followed by detailed explorations of the algebra of vectors and tensors, in addition to aspects of linear and multi-linear algebra. Topics include vector spaces, linear transformations, determinants and matrices, spectral decompositions, and tensor and exterior algebra. 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. In preparing this two volume work our intention is to present to Engineering and Science students a modern introduction to vectors and tensors. One of our objectives in writing this book is to make available a modern introductory textbook suitable for the first in-depth exposure to vectors and tensors. Because of our interest in applications, it is our hope that this book will aid students in their efforts to use vectors and tensors in applied areas. The presentation of the basic mathematical concepts is, we hope, as clear and brief as possible without being overly abstract. Since we have written an introductory text, no attempt has been made to include every possible topic. The topics we have included tend to reflect our personal bias. We make no claim that there are not other introductory topics which could have been included. Basically the text was designed in order that each volume could be used in a one-semester 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. Excellent, in depth exposition, from the standpoint of pure math. An excellent and thorough two volume book for anyone with a background in mathematics. This book comes highly recommended and is a great introduction to tensors and all the underlying concepts.So read and understand this book! Great introduction to the topic. Basic Mathematics Elementary Matrix Theory Sets, Relations, and Functions Groups, Rings and Fields Vector and Tensor Algebra Vector Spaces Linear Transformations Determinants and Matrices Spectral Decompositions Tensor Algebra Exterior Algebra

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Bowen R. Introduction to Vectors and Tensors Vol 1. 2ed 2008.pdf 6.2 MB

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bowen r introduction vectors tensors vol 1 2ed 2008

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