What is a mathematical function? Why are they so important? How does plotting the graph of a function help us understand it? And where do gradients, differentials and calculus fit in? In this unique little book, packed with equations and their graphs, mathematics teacher Oliver Linton reveals the secrets of polynomial functions, polar functions, inverse functions, complex functions, vector functions and many more. Lines will never look the same again!
I came into Mathematical Functions expecting a technical refresher, but it turned into something more foundational. Instead of focusing on memorizing equations, the book frames functions as a way of thinking, a lens for understanding relationships, change, and structure across different contexts.
What makes it effective is the way it builds intuition through graphs and progression. Each function type feels less like a standalone concept and more like part of a broader system. Polynomials, inverses, and vector functions are introduced in a way that shows how they behave, not just how they are written. The emphasis on gradients and calculus reinforces this, highlighting how functions capture motion, sensitivity, and real-time change.
From an analytics perspective, this approach resonates. In practice, we rely on models to interpret patterns and guide decisions, but the strength of those models depends on how well we understand the underlying relationships. This book reinforces that discipline, encouraging a deeper focus on structure, not just results.
Overall, Mathematical Functions is a focused and practical read that sharpens both conceptual clarity and applied thinking. It is particularly valuable for anyone who wants to strengthen their mathematical intuition and better connect theory to real-world use.