Mathematical Analysis in Comics. Thorny Paths of Mathematics from the Secrets of Archimedes to the Integral

The famous comic artist Grady Klein and the world's only economist-humorist Yoram Bauman will be our guides in ascending the peaks of Mount Derivative and Mount Integral. From these heights, we will see how mathematical analysis is connected to other fields of mathematics. Starting with problems of measuring speed and determining area, the authors show how the fundamental theorem of mathematical analysis unites this discipline. We will meet geniuses — Archimedes, Liu Hui, and Bonaventura Cavalieri — who survived on these mountain slopes thanks to their ingenuity and prepared us for encounters with dangerous avalanches caused by mathematical rigor. We will continue our journey, navigating through limits and extrema, optimization and integration, and discover how to apply mathematical analysis in economics, physics, and many other fields. We will find that mathematical analysis is not the highest achievement of mathematics, but its tools are at the foundation of everything that has been achieved thereafter. An engaging popular science comic is accompanied by a Glossary, allowing you to easily navigate through the main terms. After reading this book, you will become 2.8284271 times smarter!