Exploring University Mathematics with Python

Siri Chongchitnan

ISBN 10: 3031462696 / ISBN 13: 9783031462696

Published by Springer International Publishing AG, CH, 2023

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 instantlyVisualisation: demonstrating key theorems with graphs, interactive plots and animationsExtension: 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. Seller Inventory # LU-9783031462696

Synopsis:

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.

About the Author: 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. 

Bibliographic Details

Title: Exploring University Mathematics with Python
Publisher: Springer International Publishing AG, CH
Publication Date: 2023
Binding: Hardback
Condition: New
Edition: 2023 ed.