A patient, Python-centric introduction to calculus and programming that uses Python to teach core math concepts and create graphs. The easy-to-learn Python programming language offers a convenient way to create the graphs and other visualizations required for calculus. In this book, readers first learn the basics of programming in Python with a focus on the Turtle Graphics module, which lets users create complex images. With that graphing tool in hand, readers are then patiently taught calculus from the ground up, covering derivatives, integrals, and the fundamental theorem. With essential concepts in hand, readers of later chapters will explore more advanced topics, such as differential equations and linear algebra, while using popular Python libraries like NumPy and pygame. Covers Python 3.x, Jupyter Notebook, Turtle Graphics, NumPy, and pygame

Autorentext
Nick McIntyre is an experienced educator who designs learning experiences around clarity, intuition, and curiosity. His background in teaching mathematics, robotics, and computer science informs an approach that treats calculus as something to be explored and understood—not endured.

Klappentext

A conceptual, intuition-first introduction to calculus for readers who remember the idea of “slope at a point” but never truly understood what it meant.

Many people take calculus and walk away remembering almost nothing—except a vague idea about slopes, curves, and something called a tangent.

Thinking in Calculus is written for those readers.

Rather than teaching calculus as a collection of formulas and procedures, this book treats it as a way of thinking about how quantities change, accumulate, and move. Concepts like limits, derivatives, and integrals are introduced through intuition, visualization, and physical reasoning before formal notation ever takes center stage.

Designed for curious self-learners, programmers, and students who want to understand what calculus is actually describing, Thinking in Calculus rebuilds the subject from the inside out—clearly, patiently, and without intimidation.

Inhalt
Foreword
Acknowledgments
Introduction

Chapter 1: Python Basics
Chapter 2: Drawing with Turtle Graphics
Chapter 3: Functions and Derivatives
Chapter 4: Integrals
Chapter 5: Ordinary Differential Equations and Vectors
Chapter 6: Dynamical Systems
Chapter 7: Linear Algebra with NumPy
Chapter 8: Multivariable Calculus
Chapter 9: Fourier Transforms

Appendix A
Bibliography
Index