Learning Calculus with Python Projects
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Description
Book Introduction
Completing Differential and Integral Calculus Theory and Applications with 9 Python Projects
Differential and integral calculus is the foundation of modern mathematics and is an essential discipline for understanding applied fields such as engineering and science.
Accordingly, to properly understand mathematics, engineering, or science, you must have a solid foundation in differential and integral calculus.
This book clearly explains the theory of differential and integral calculus and introduces the fields in which each theory is actually applied.
By following the concepts of vectors, matrices, etc., you can lay the foundation for multivariable differential and integral calculus.
Additionally, through nine Python projects, you can naturally learn the connection between mathematical theory and Python programming, and by implementing new projects yourself, you can simultaneously develop application and problem-solving skills.
Experience the harmony between differential and integral calculus theory and programming with this book.
Differential and integral calculus is the foundation of modern mathematics and is an essential discipline for understanding applied fields such as engineering and science.
Accordingly, to properly understand mathematics, engineering, or science, you must have a solid foundation in differential and integral calculus.
This book clearly explains the theory of differential and integral calculus and introduces the fields in which each theory is actually applied.
By following the concepts of vectors, matrices, etc., you can lay the foundation for multivariable differential and integral calculus.
Additionally, through nine Python projects, you can naturally learn the connection between mathematical theory and Python programming, and by implementing new projects yourself, you can simultaneously develop application and problem-solving skills.
Experience the harmony between differential and integral calculus theory and programming with this book.
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index
CHAPTER 01 Sequences and Series
1.1 Sequence
1.2 series
1.3 Applications of sequences and series
1.4 Project: Creating a Calculator
Key Summary
Practice problems
CHAPTER 02 Vectors and Matrices
2.1 Vectors
2.2 Matrix
2.3 Utilizing Vectors and Matrices
2.4 Project: Creating a CAPTCHA
Key Summary
Practice problems
CHAPTER 03 Functions and Graphs
3.1 Function
3.2 Limits and Continuity
3.3 Graph
3.4 Project: Drawing Isolines and Isosurfaces
Key Summary
Practice problems
CHAPTER 04 Differentiation of a Function of One Variable
4.1 Rate of change
4.2 Theorem on Differentiation
4.3 Application of differentiation of one-variable functions
4.4 Project: Creating a Waterwheel Animation
Key Summary
Practice problems
CHAPTER 05 Differentiation of Multivariable Functions
5.1 Directional differentiation
5.2 Differentiation of multivariable functions
5.3 Application of differentiation of multivariable functions
5.4 Project: Drawing a Heat Transfer Map
Key Summary
Practice problems
CHAPTER 06 Optimization
6.1 Hesse Decision
6.2 Lagrange multiplier method
6.3 Gradient descent
6.4 Project: Handwriting Data Training
Key Summary
Practice problems
CHAPTER 07 Definite Integrals and Double Integrals
7.1 Concepts of definite integrals and double integrals
7.2 Calculation of definite integrals and double integrals
7.3 Applications of Integration
7.4 Project: Cauchy-Cropton Formula
Key Summary
Practice problems
CHAPTER 08 Line Integrals and Area Integrals
8.1 Vector fields and line integrals
8.2 Area
8.3 Application of line integrals and area integrals
8.4 Project: Calculating the Area of a Polygon
Key Summary
Practice problems
CHAPTER 09 Rotation and Divergence
9.1 Stokes' theorem and divergence theorem
9.2 Potential functions
9.3 Applications in Electromagnetism
9.4 Project: Visualizing Magnetic Dipoles
Key Summary
Practice problems
Search
1.1 Sequence
1.2 series
1.3 Applications of sequences and series
1.4 Project: Creating a Calculator
Key Summary
Practice problems
CHAPTER 02 Vectors and Matrices
2.1 Vectors
2.2 Matrix
2.3 Utilizing Vectors and Matrices
2.4 Project: Creating a CAPTCHA
Key Summary
Practice problems
CHAPTER 03 Functions and Graphs
3.1 Function
3.2 Limits and Continuity
3.3 Graph
3.4 Project: Drawing Isolines and Isosurfaces
Key Summary
Practice problems
CHAPTER 04 Differentiation of a Function of One Variable
4.1 Rate of change
4.2 Theorem on Differentiation
4.3 Application of differentiation of one-variable functions
4.4 Project: Creating a Waterwheel Animation
Key Summary
Practice problems
CHAPTER 05 Differentiation of Multivariable Functions
5.1 Directional differentiation
5.2 Differentiation of multivariable functions
5.3 Application of differentiation of multivariable functions
5.4 Project: Drawing a Heat Transfer Map
Key Summary
Practice problems
CHAPTER 06 Optimization
6.1 Hesse Decision
6.2 Lagrange multiplier method
6.3 Gradient descent
6.4 Project: Handwriting Data Training
Key Summary
Practice problems
CHAPTER 07 Definite Integrals and Double Integrals
7.1 Concepts of definite integrals and double integrals
7.2 Calculation of definite integrals and double integrals
7.3 Applications of Integration
7.4 Project: Cauchy-Cropton Formula
Key Summary
Practice problems
CHAPTER 08 Line Integrals and Area Integrals
8.1 Vector fields and line integrals
8.2 Area
8.3 Application of line integrals and area integrals
8.4 Project: Calculating the Area of a Polygon
Key Summary
Practice problems
CHAPTER 09 Rotation and Divergence
9.1 Stokes' theorem and divergence theorem
9.2 Potential functions
9.3 Applications in Electromagnetism
9.4 Project: Visualizing Magnetic Dipoles
Key Summary
Practice problems
Search
Detailed image
Publisher's Review
A calculus textbook that combines theory and application through Python projects.
This book covers a wide range of topics, from the fundamentals of differential and integral calculus to applied topics such as matrices, vectors, and optimization.
We clearly explain mathematical theories so that even students with weak mathematical foundations can easily understand the concepts, and we introduce application fields related to each topic, such as machine learning, thermodynamics, and electromagnetism, so that students can study calculus while understanding why they should learn it.
In addition, you can develop your coding and problem-solving skills by implementing Python code yourself through various examples and projects.
This book covers a wide range of topics, from the fundamentals of differential and integral calculus to applied topics such as matrices, vectors, and optimization.
We clearly explain mathematical theories so that even students with weak mathematical foundations can easily understand the concepts, and we introduce application fields related to each topic, such as machine learning, thermodynamics, and electromagnetism, so that students can study calculus while understanding why they should learn it.
In addition, you can develop your coding and problem-solving skills by implementing Python code yourself through various examples and projects.
GOODS SPECIFICS
- Date of issue: July 2, 2025
- Page count, weight, size: 656 pages | 1,143g | 188*257*23mm
- ISBN13: 9791173400339
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