I am a graduate student in physics. I want to self-study topology geometry and physics. I use the book of Nakahara with the same title. However, this book is not convenient for self-study in my opinion. I have the following problems while studying this book;
- There are not enough number of examples. When a mathematical definition is given, it is very easy to misunderstand it. And it is very hard to have an intuition on the idea presented. The definitions and the presentation are very concise, so in order have a feeling of what actually the presented ideas means, I usually need to address youtube to see whether someone explained already, however not everything is on youtube.
- There is an inconsistency on the notation, and there are also typos. So if you are learning it for the first time, this inconsistency can made some concepts impossible to grasp.
The good part of this book is, the topics covered are exactly what I need.
Thus do you have any book to complement this book with a more intuitive explanation, which is self-study friendly, and with more examples. Or even better, do you know any book that treats the same topic in a more pedagogical manner. I specifically ask a book that covers same topics with Nakahara's chapters 2-10 which is pedagogical and suitable for self-learning, or a book to complement this one.