A Comprehensive Introduction to Tensors

Geometry ยท Textbook

This text (my first ever book!) introduces the concepts of tensors in an understandable and readable way. Beginning with the foundations of linear algebra, the book then begins to discuss the calculus of tensors, as well as applications. Students with a background knowledge of elementary multivariable calculus and linear algebra should be able to read this book, assuming some level of mathematical maturity. The book becomes progressively more complex as the text goes on. This book was created because the author wanted a comprehensive yet understandable resource for learning tensors with an eye toward differential geometry and general relativity, and this book has been born from that need.


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