Tensor Analysis by Schade and Neemann, Translated by Dziubek and Rusjan

Recently, I started reading Tensor Analysis by Schade and Neeman. At first, I read this book because I needed to research tensors for a project (and partially out of my own interest). I started getting really interested in the book and kept reading it. The book obviously covers tensors, geometric objects which obey certain transformation laws and can act as maps between different spaces. I find that while the authors may take a rigorous approach, with enough reading you should be able to understand what they are talking about.

Before I start my review of this book, there is one important thing I need to say. This book has some heavy math so it would be nice to have some knowledge of slightly higher-level math before you start reading it. With that being said, this book still isn't nearly as loaded with prerequisites as other books are on this subject. But, like I said before, it makes up for it in rigor. A lot of times you will find yourself rereading a page trying to understand the proofs. But once you do understand them, they offer a very in-depth and valuable perspective on the subject.

The book also offers practice problems that are not hard enough to make you quit, but they are also challenging enough to make you refer back to previous sections in the book. These problems are few but they help show you what you need to refer back to strengthen your grasp of the subject. At first, they are many in number relative to the rest of the book, but they start to slowly disappear. They don't entirely leave, but because the topics become more complex there are far fewer computational problems.

Finally, I want to talk about the density of the book. There is lots of material packed into a short space. It took me a week to get through almost twenty pages. This can be viewed as a good or bad thing, depending on if you like a concise, dense book or a long and easy book. I don't particularly care, but you may if you are deciding whether or not to choose this book.

In conclusion, I wouldn't recommend this book to anyone who doesn't have a strong interest in this topic because it would become somewhat of a drag to read through. However, if you have a strong interest in tensors then this would probably be the perfect book for an introduction to the subject. But like I said before, be warned of dense content and high levels of rigor. Good Luck.

(Sorry if this review is a bit short. It is hard to write a review about a book called Tensor Analysis.)