Principles and Applications of Tensor Analysis

""Principles and Applications of Tensor Analysis"" by Matthew S. Smith is a comprehensive guide to the principles and applications of tensor analysis. The book covers the fundamental concepts of tensor analysis, including tensor algebra, tensor calculus, and tensor fields. It then goes on to explore the applications of tensor analysis in various fields, such as physics, engineering, and mathematics.The book begins with an introduction to the basic concepts of tensors and their properties, including covariant and contravariant tensors, tensor products, and tensor differentiation. It then covers the calculus of tensors, including the Christoffel symbols, the Riemann tensor, and the Ricci tensor.The book also explores the applications of tensor analysis in physics, including the theory of relativity, electromagnetism, and fluid mechanics. It then goes on to examine the use of tensors in engineering, including structural mechanics and elasticity, as well as in mathematics, including differential geometry and topology.Throughout the book, the author provides numerous examples and exercises to help readers understand and apply the principles of tensor analysis. The book is suitable for advanced undergraduate and graduate students in mathematics, physics, and engineering, as well as researchers in these fields.""This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.