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Analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions. It's a great place to start for people really looking to get to the heart of higher level maths because it is so rigorous; once you are good at Analysis, learning other topics is a lot easier!



Textbooks to buy:

Elementary Analysis by Kenneth A. Ross

Understanding Analysis by Stephen Abbott


Methods of Analysis (for more advanced readers) by Richard R. Goldberg

Introduction to Real Analysis by William F. Trench

Online Courses

Introduction to Mathematical Thinking  (a combination of logic, analysis and more general proof methodology)

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