Mathematical Modeling Lecture 33: Mathematics and the Colorful World

This book uses mathematical modeling methods to discuss 33 topics in human society and nature, including new interpretations of typical topics and original polishing of several new topics. It not only answers the public's common questions about mathematics: "What is the use of mathematics?" It also uses high school knowledge as the main tool, mathematical modeling as the main carrier, and shows the basic process and way of thinking of mathematical research in a way that middle school students can understand. The 33 topics fully reflect the close connection between mathematics and life, explaining how mathematical modeling can effectively solve interdisciplinary problems, how to establish reasonable and effective models for real-life needs, and how to show its talents in design and manufacturing, biomedicine, machine learning, and even in solving social problems. The author strives to explain abstract and rigorous mathematics in a clear and interesting way, highlighting the "beauty of form", "magnificence of logic" and "the simplicity" of mathematics. This book is an interesting journey of mathematical thinking for high school students, junior undergraduates and general readers who love mathematics.