This book helps the student complete the transition from purely manipulative to rigorous mathematics. It spells out in all detail what is often treated too briefly or vaguely because of lack of time or space. It can be used either for sup-plementary reading or as a half-year course. It is self-contained, though usually the student will have had elementary calculus before starting it.

## Book Description

This book gives students the skills they need to succeed in the first courses in Real Analysis (it is designed specifically to prepare students for the author’s Mathematical Analysis I and Mathematical Analysis II) and Abstract Algebra/Modern Algebra. Students who plan to advance to upper-level classes in computer science (discrete structures, algorithms, computability, automata theory, …), economics, or electrical and computer engineering (signal and image processing, AI, circuit design, …) will benefit from mastering the material in this text.

## Table of Contents

- Some Set Theoretical Notions
- The Real Number System
- The Geometry of n Dimensions. Vector Spaces