Exploring University Mathematics with Python

Siri Chongchitnan (Autor)

Buch | Hardcover

XVII, 510 Seiten

2023
Springer International Publishing (Verlag)
978-3-031-46269-6 (ISBN)

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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.

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.

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.

Erscheinungsdatum	03.12.2023
Zusatzinfo	XIII, 514 p. 153 illus., 140 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	168 x 240 mm
Gewicht	1223 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Computerprogramme / Computeralgebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	algebra with Python • calculus with Python • computational mathematics • differential equations with Python • linear algebra with Python • Programming with Python • Python for Mathematics Students • statistics with Python • undergraduate mathematics
ISBN-10	3-031-46269-6 / 3031462696
ISBN-13	978-3-031-46269-6 / 9783031462696
Zustand	Neuware