**Welcome to the forum!**

Hi bahtiarrachman,

Welcome to the forum!

**Thank You!**

**Welcome to the forum!**

(Problem) At the end of the first chapter and beyond, the book is slightly over my head. I only cover a few pages a day at my current pace because I have to really think about the material and I have other responsibilities. Sometimes I need to look up other references to understand certain things. At my current pace it will take me 10-12 months to finish this book. Is the payoff from reading and understanding this book worth the effort or should I read other books?

The first chapter does not even require much algebra. I think the issue is that you haven't adapted to the style of writing in higher level maths books (although this is really nothing compared to something like Rudin). You'll have to get used to re-reading multiple times and filling in the gaps on your own. Maybe, as I said before, you should supplement it with Apostol to help you.

This book is certainly worth it, no matter how long it takes. It sets you up perfectly for a rigorous multivariate calculus course and real analysis.

]]>You could divide the numerator and denominator by 2.

]]>If you want to understand calculus, you'll need to know about graphs; straight lines and how to get their gradient**; and then curves and how their gradient varies as x varies. [that's differential calculus ... integral calculus is a summation process that usually follows on from differential]

Some people learn mathematical topics because they need to for a qualification or a job or to help with some other field of study. From what you've said, it sounds like you want to do maths for fun. So the starting point ought to be "What do you enjoy?" Puzzles ? Mathematical Art ? ...? Personally, learning maths is just part of a wider interest that I have, which is to understand how/why things work. eg. Sun dials, why there are exactly 5 Archimedian solids, how you work out bicycle gear ratios, ....

You mention cryptology, economics, game theory, & statistics. Plenty of maths in all of those. Do you want to learn more about those?

Bob

**which is why that interactive graph is useful.

]]>Welcome. Hope you enjoy being a member.

Bob

]]>**Welcome to the forum.**

Bob

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