Calculus with python

This book mainly uses Python's sympy module to understand the concepts of limits, differentiation, and integrals and introduces various calculation methods. Limits and calculus are used to implicitly express the changes and meaning of functions. Understanding the process of unraveling its implications is a necessary part of deepening the understanding of calculus and smoothing its application. This process can be explained in more detail using the programming language Python.

This book consists of 9 main chapters and 3 appendices. Chapter 0 introduces the basic Python structure and the packages mainly used in the book. Based on the definition and form of the function introduced in Chapter 1, the relationship between limits and derivatives is covered in Chapter 2. Chapters 3, 4, and 5 cover differentiating methods for various functions and how to apply them to express changes and characteristics of functions through differentiation. Chapters 6 and 7 introduce the concept of integration, which is the opposite of differentiation, implementation methods, and the meaning of integration as applied to probability and statistics. Finally, Chapter 8 discusses differentiation and integration for multivariate functions containing multiple variables. Additionally, Appendix 1 adds a brief introduction to the functions and methods of Python and packages used in this book. Appendices 2 and 3 explain the creation of series and partial fractions applied in the calculus calculation process, respectively.

Many examples are covered in the introduction to functions, limits, and calculus, and their solution processes are presented mathematically and actual calculations are performed using a Python program. Using the program mostly follows a similar process and requires basic knowledge of installing Python and writing code. However, the basic concepts and calculation processes of limits and calculus are explained without applying Python, so you can understand the contents without writing code.