Exploring University Mathematics with Python

This book uses Python to enhance the understanding of university mathematics, covering topics such as analysis, calculus, vector calculus, geometry, differential equations, dynamical systems, linear algebra, abstract algebra, and number theory. It is suitable for mathematics undergraduates and high-school students, with prerequisites of standard A-Level mathematics and a willingness to learn programming. It also serves as a resource for mathematics lecturers and teachers on how to incorporate Python into the mathematics syllabus.

Format: Hardback
Length: 514 pages
Publication date: 10 January 2024
Publisher: Springer International Publishing AG

This captivating book takes readers on a unique journey through the realm of university mathematics, leveraging the power of Python to enhance understanding and exploration. Written in the spirit of mathematical inquiry and discovery, it empowers students to harness the versatility of Python to deepen their grasp of mathematics through a range of compelling features.

Calculation: The book enables students to perform complex calculations and numerical simulations with remarkable speed and precision, facilitating a seamless exploration of mathematical concepts. Through the use of Python's powerful numerical libraries, students can instantly solve intricate equations, simulate complex systems, and analyze data with ease, enhancing their analytical skills and numerical literacy.

Visualisation: The book employs visually stunning graphs, interactive plots, and animations to demonstrate key theorems and concepts, making complex mathematical ideas accessible and engaging. By visualising mathematical structures and relationships, students gain a deeper understanding of the subject matter, fostering a visual intuition that complements their analytical abilities.

Extension: The book encourages students to use numerical findings as inspiration for making deeper, more general conjectures. By leveraging the power of Python, students can explore mathematical models, test hypotheses, and generate new insights, expanding their mathematical horizons and fostering a lifelong love for mathematical exploration.

This book is a valuable resource for all learners of mathematics, with a primary audience consisting of mathematics undergraduates who are eager to explore how Python can enhance their understanding of core university material. The topics covered encompass a comprehensive mathematical overview, encompassing analysis, calculus, vector calculus and geometry, differential equations and dynamical systems, linear algebra, abstract algebra and number theory, probability and statistics. As such, it serves as a valuable preview of university mathematics for high-school students, equipping them with the necessary foundational knowledge for future academic pursuits.

The prerequisites for reading this book are a solid foundation in standard A-Level mathematics (or equivalent senior high-school curricula) and a willingness to embark on the exciting journey of programming. For mathematics lecturers and teachers, this book offers a valuable resource on how Python can be seamlessly incorporated into the mathematics syllabus, assuming only basic knowledge of programming. By leveraging Python's versatility, educators can create engaging and interactive learning experiences that inspire students to explore the beauty of mathematics in new and innovative ways.

In conclusion, this book provides a unique and transformative approach to university mathematics, leveraging the power of Python to enhance understanding, visualization, and extension. Whether you are a mathematics student, educator, or simply a curious mind, this book offers a wealth of knowledge and insights that will deepen your appreciation for the subject and inspire you to pursue mathematical exploration with renewed vigor.

Weight: 1223g
Dimension: 240 x 168 (mm)
ISBN-13: 9783031462696
Edition number: 1st ed. 2023