Calculus, With Applications: An Introduction to the Mathematical Treatment of Science

by Ellen Hayes

Master the language of change with a clear, application‑focused introduction to calculus. This edition emphasizes how differentiation and integration connect theory to real problems in science and engineering.



The book frames calculus as a practical tool for understanding how quantities change and how those changes accumulate. It uses concrete examples from physics, motion, geometry, and area to show how mathematical ideas describe the world with precision and clarity.



What you will



Foundations of differentiation and integration explained through everyday and scientific contexts
Worked examples that connect motion, areas, and measurements to core concepts
Techniques for analyzing curves, areas, volumes, and simple physical models
A stepping‑stone toward higher mathematics with a steady, reader‑friendly pace


Ideal for readers starting calculus who want to see its value in science, engineering, and beyond.

Kindle Edition

Published August 24, 2018

About the author

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