In this comprehensive and accessible introduction to tensor analysis, readers will discover a powerful mathematical tool that is used in a wide range of fields, from physics and engineering to applied mathematics.
Tensor analysis is a generalization of vector calculus that allows for the representation of complex physical quantities in a way that is both elegant and powerful. It is used to study a variety of phenomena, including the behavior of materials under stress, the flow of fluids, and the propagation of waves.
This book begins with a thorough introduction to vectors and tensor fields. The authors then move on to discuss the calculus of tensors, which is essential for solving complex problems in continuum mechanics, fluid mechanics, elasticity, plasticity, and fracture mechanics.
Throughout the book, readers will find a wealth of examples and exercises that illustrate the application of tensor analysis to real-world problems. These examples and exercises are designed to help readers develop a deep understanding of the material and to prepare them for further study in their chosen field.
This book is an essential resource for students of engineering, physics, and applied mathematics who are interested in learning about tensor analysis. It is also a valuable reference for researchers who are using tensor analysis in their work.
With its clear and concise explanations, wealth of examples and exercises, and extensive coverage of the subject matter, this book is the perfect introduction to tensor analysis for anyone who wants to learn this powerful mathematical tool.
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