Amber Habib Books

Focusing on the transition from school-level calculus to university analysis, this book serves as a comprehensive resource for undergraduate students in mathematics, physics, and economics. It emphasizes the logical development of calculus concepts through geometric intuition, helping students connect calculus with other mathematical areas. Designed to bridge the gap for mathematics majors to real analysis, it also lays a strong foundation for applications in various fields. Mastering the content prepares students for advanced courses in both pure and applied mathematics.

Readers are introduced to the applications of Calculus, Probability, Number Theory, Linear Algebra and Discrete Mathematics. Each chapter includes a set of exercises, called Investigations, that prompt analytical thinking, encourage exploration of a concept, or test the readers' ability to apply the concept to a realistic problem situation.