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

An intuitive, Python-based introduction to calculus for readers interested in real applications of the math.

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

Learn Calculus with Python is written for those readers, as well as anyone else with a firm grasp of algebra and trigonometry who is eager to learn the practical math underlying machine learning optimization, signals processing, planetary simulations, and other useful applications.

Rather than teaching calculus as a collection of formulas and procedures, this book uses guided Jupyter Notebooks to introduce concepts like derivatives, integrals, the Fundamental Theorem, and dynamical systems through visualizations and real-world examples.

Designed for curious self-learners, programmers, and students who want to understand what calculus is actually describing, Learn Calculus with Python rebuilds the subject from the inside out— patiently and in context.

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