Essential Textbooks in Physics - 1: How to Derive a Formula

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Will artificial intelligence solve all problems, making scientific formulae redundant? The authors argue that formulating these equations remains essential for understanding the laws of nature. Deriving a formula involves a series of steps, culminating in a verification process through the analysis of limiting cases. This work unravels that process. Mathematics is the 'queen of all sciences,' yet students face numerous challenges in mastering it, such as grappling with proofs of countless theorems, deciphering complex symbols, and navigating technical routines whose practical applications may not be immediately clear. Those pursuing physical sciences can easily lose motivation when overwhelmed by details. This book aims to engage learners by presenting mathematical methods in straightforward terms, focusing on skills rather than mere technical knowledge. It emphasizes intuition and common sense over strict mathematical rigor, teaching students from the ground up with relevant examples from the physical sciences. Offering a fresh perspective on what a mathematics textbook can be, it incorporates historical anecdotes and humor to enrich the material. It is suitable for advanced and enthusiastic school students preparing for university in science disciplines, as well as teachers, tutors, undergraduate students, and university lecturers.