Ebook: The Keys to Advanced Mathematics: Recurrent Themes in Abstract Reasoning

This book simplifies the process of learning such courses as discrete math, linear algebra, abstract algebra, and real analysis by explaining the following concepts:


- Closed-form Solutions: solutions obtained from the problem data by a simple rule or formula.


- Numerical Methods: solutions obtained from the problem data by performing a sequence of computations.


- Unification: the process of combining two or more problems into a single problem whose solution provides the solution to all of the original problems.


- Generalization: the process of creating, from an original problem, a new problem with a solution procedure that solves not only the original problem, but many other different problems as well.


- Abstraction: the process of learning to think in terms of general objects rather than specific items.


- Axiomatic Systems: an approach to studying the broad class of problems created by abstraction.


And that's not all.
You also learn these skills:
- Doing mathematical proofs.
- Identifying similarities and differences.
- Translating visual images to symbolic form.
- Understanding definitions.