- #1
- 2,386
- 4
I am looking to learn more about Calculus.
I have done High School Calculus.
I understand how to find the derivative, or definite integral(anti-derivative), in the following:
Quotient Rule
Chain Rule
Product Rule
Logs (10)
Trigonometry
I understand how to apply them, and there functions. (Maxima/Minima, Optimization)
I know about finding the area under the curves.
I need a textbook, or book with details, that will take me to the next level.
If possible, maybe list what the book includes.
Also, I am looking for a good book on Geometry. Any book that will allow me to study Non-Euclidean Geometry, Differential Geometry, and Tensors. They can be separate books of course.
Just to make things clear, I would like to learn Relativity. It sounds far-fetched, but if you so happen to know the best way, inform me. I'm not looking for the quickest way really; I am looking for the path in which I will understand and know what I am doing, and know what the numbers are telling me.
I learn quickly independently, so I recommend books that pick up the paste. This isn't to go fast, but merely so I don't get bored. I'm the type of person who enjoys it when the book leaves a few things out, and you somehow figure it out doing questions. If I don't figure it out, I simply look it up in another book.
THANKS!
I have done High School Calculus.
I understand how to find the derivative, or definite integral(anti-derivative), in the following:
Quotient Rule
Chain Rule
Product Rule
Logs (10)
Trigonometry
I understand how to apply them, and there functions. (Maxima/Minima, Optimization)
I know about finding the area under the curves.
I need a textbook, or book with details, that will take me to the next level.
If possible, maybe list what the book includes.
Also, I am looking for a good book on Geometry. Any book that will allow me to study Non-Euclidean Geometry, Differential Geometry, and Tensors. They can be separate books of course.
Just to make things clear, I would like to learn Relativity. It sounds far-fetched, but if you so happen to know the best way, inform me. I'm not looking for the quickest way really; I am looking for the path in which I will understand and know what I am doing, and know what the numbers are telling me.
I learn quickly independently, so I recommend books that pick up the paste. This isn't to go fast, but merely so I don't get bored. I'm the type of person who enjoys it when the book leaves a few things out, and you somehow figure it out doing questions. If I don't figure it out, I simply look it up in another book.
THANKS!
Last edited: