A Student's Guide to Vectors and Tensors - Daniel Fleisch
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Vectors and tensors are essential tools in problem-solving across various fields, including mechanics, electromagnetics, and general relativity. A Student's Guide to Vectors and Tensors by Daniel Fleisch, published by Cambridge University Press, offers a comprehensive understanding of these concepts. The book, suitable for undergraduate and beginning graduate students of physics and engineering, employs a clear and accessible approach similar to Fleisch's previous work on Maxwell's Equations.
The content begins with a solid foundation in vectors and vector calculus, progressing to contra and covariant components, tensors, and their practical applications. Additionally, the book's accompanying website covers matrices and their algebra, providing interactive solutions to all problems featured in the text. Students can engage with hints or opt to view complete solutions. Furthermore, the author offers audio podcasts, allowing students to gain insights into key concepts directly from the source.
