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Exploring University Mathematics with Python / by Siri Chongchitnan.
Springer Nature - Springer Mathematics and Statistics eBooks 2023 English International Available online
View online- Format:
- Book
- Author/Creator:
- Chongchitnan, Siri, author.
- Language:
- English
- Subjects (All):
- Computer software.
- Python (Computer program language).
- Algebras, Linear.
- Mathematical analysis.
- Probabilities.
- Mathematical Software.
- Python.
- Linear Algebra.
- Analysis.
- Probability Theory.
- Local Subjects:
- Mathematical Software.
- Python.
- Linear Algebra.
- Analysis.
- Probability Theory.
- Physical Description:
- 1 online resource (521 pages)
- Edition:
- 1st ed. 2023.
- Place of Publication:
- Cham : Springer Nature Switzerland : Imprint: Springer, 2023.
- Summary:
- This book provides a unique tour of university mathematics with the help of Python. Written in the spirit of mathematical exploration and investigation, the book enables students to utilise Python to enrich their understanding of mathematics through: Calculation: performing complex calculations and numerical simulations instantly Visualisation: demonstrating key theorems with graphs, interactive plots and animations Extension: using numerical findings as inspiration for making deeper, more general conjectures. This book is for all learners of mathematics, with the primary audience being mathematics undergraduates who are curious to see how Python can enhance their understanding of core university material. The topics chosen represent a mathematical overview of what students typically study in the first and second years at university, namely analysis, calculus, vector calculus and geometry, differential equations and dynamical systems, linear algebra, abstract algebra and number theory, probability and statistics. As such, it can also serve as a preview of university mathematics for high-school students. The prerequisites for reading the book are a familiarity with standard A-Level mathematics (or equivalent senior high-school curricula) and a willingness to learn programming. For mathematics lecturers and teachers, this book is a useful resource on how Python can be seamlessly incorporated into the mathematics syllabus, assuming only basic knowledge of programming.
- Contents:
- 1 Analysis
- 2 Calculus
- 3 Vector Calculus and Geometry
- 4 Differential Equations and Dynamical Systems
- 5 Linear Algebra
- 6 Abstract Algebra and Number Theory
- 7 Probability
- 8 Statistics
- Appendix A: Python 101.
- Notes:
- Includes bibliographical references and index.
- Other Format:
- Print version: Chongchitnan, Siri Exploring University Mathematics with Python
- ISBN:
- 3-031-46270-X
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