Exploring University Mathematics with Python

2023
ISBN: 978-3-031-46269-6
Verlag: Springer Nature Switzerland

Buch, Englisch, 510 Seiten, Format (B × H): 173 mm x 246 mm, Gewicht: 1166 g

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 equationsand 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.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Chongchitnan, Siri

Fachgebiete

• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Programmier- und Skriptsprachen
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung

Inhaltsverzeichnis

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.

Über Autor(innen)

Siri Chongchitnan is a Reader in mathematics at the University of Warwick. His research is on mathematical cosmology and the use of technology in mathematics education. At Warwick, he is Director of Student Experience.