Reddit reviews Calculus
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Well, that is a terrible problem if you are entering Real Analysis I without any exposure to proofs or writing proofs. What I tell everyone is to get Velleman's How To Prove It and couple it with another book such as Spivak since "How to Prove It" is a little raw (any pure proof book is).
EDIT: For the sake of clarification, I'm talking about Spivak's Calculus.
157 is very different from most other first year university courses. The lectures are helpful because they illustrate the ideas, but they don't get you familiar with any particular type of problem or prepare you for the tests/exams. Also, for most first year math/science courses, textbooks are really just there to provide you practice questions. It's different for MAT157. You need to actually read it, from the first page to the last, understanding every single line of it. It's a tough book, but also an amazing one. I think you will enjoy it if you do like math.
https://www.amazon.ca/Calculus-Michael-Spivak/dp/0521867444
You have 4 months before September. Even 10 mins/day of work will be enough for you to finish this book prior to the course starts. Good luck.
This book is what you're looked for. It's a rigorous calculus book. You'll learn why things are true.
Thank you for the reply. I think you are right in that assumption, however, I think I still might be slightly hindered by not knowing any physics at all. Do you think I would only be wasting my time by reading through conceptual physics, or would it still be a useful thing to do which would only strengthen and solidly my knowledge for studying Y&F?
As far as mathematics is concerned, I have that covered I believe, I am reading through an algebra textbook currently, then hoping to go through a number theory and pre-calculus textbook. Eventually calculus and by that time I would think I should then start studying Y&F. I believe the calculus book would cover anything I need in the Y&F book? or is there other mathematics which is not specifically calculus I would need to learn from the Mary Boas book?
I would either be using this calculus textbook which is from the series of mathematics textbooks I have been reading: https://artofproblemsolving.com/store/item/calculus
or maybe, Spivak’s calculus if I am confident enough to tackle it by then: https://www.amazon.co.uk/Calculus-Michael-Spivak/dp/0521867444
If you want a gentler introduction to calculus, with many examples, lots of intuition, diagrams, and nicer explanations, take any edition of James Stewart's Calculus - Early Transcendentals.
If you feel up to a serious challenge and want to study it as a mathematician would, get Michael Spivak's Calculus.