Master the differential calculus from the ground up with clear, example-filled lessons.
This edition explains the key ideas behind differentiation and integration, focusing on how variables change under known laws. It uses concrete, familiar problems to show how to express rates of change, compute derivatives, and apply the ideas to real questions in physics, geometry, and beyond.
Designed for readers beginning their study of calculus, the book blends intuitive explanations with worked examples. It shows how to approach problems systematically, using simple rules and gradual buildup to more complex cases. Along the way, you’ll see how calculus reveals when quantities reach maximum or minimum values and how to handle logarithmic and other functions with confidence.
- Grasp the idea of a differential coefficient and how to measure changing quantities.
- Learn to differentiate simple and composite functions with practical steps.
- Explore maxima and minima through geometry and illumination problems, plus real-world scenarios.
- Study logarithmic differentiation and approaches to differentiating a wide range of expressions.
Ideal for newcomers to calculus and self-learners who want a solid, methodical foundation.