Analysis 1

This textbook is intended as a guide for a two- or three-semester calculus course and is aimed at students of mathematics and physics, as well as mathematically inclined students of computer science and the exact sciences. Detailed proofs and explanations, along with numerous examples and interesting exercises, make it very suitable for mathematical self-study. A clear and organized structure, along with a thoughtful arrangement of the material, allows for a focus on core areas in the initial study. Instructors are offered various options to emphasize different aspects of the lecture and to choose suitable methods for presenting the material. Geometric intuition and historical motivation, combined with a moderate level of abstraction, characterize this modern introduction to calculus.