The Circle: A Mathematical Exploration Beyond the Line – Alfred S. Posamentier and Robert Geretschlager
The circle has played a pivotal role in our society, appearing in our art, literature, and culture and has helped develop our industrial civilisation. So, it is no surprise that the circle has fascinated mathematicians since the ancient times.
This book aims to underline the many intriguing properties of the circle to beginners by describing how the circle “manifests itself in the field of geometry”, leading to important relationships and theorems. It also highlights how the circle continues to charm mathematicians today, as they continue to discover new and surprising properties about this most fundamental of shapes.
Elements of Mathematics: From Euclid to Gödel – John Stillwell
Elements of Mathematics takes readers on a journey of elementary mathematics, which as Stillwell shows is not as simple as one may believe. As he examines elementary mathematics from a 21st century standpoint, the beauty and scope of the discipline, as well as its limits, are revealed.
“From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic.” He describes how the research in these areas helped build the foundations of, and hence develop, modern mathematics into what it is today.
This is not Stillwell’s first book; apart from being a professor of mathematics at the University of San Francisco he has also written many books including ‘Mathematics and Its History’ and ‘Roads to Infinity’.
For those of you interested in the history of mathematics, this is a must read!
“An accessible read. . . . Stillwell breaks down the basics, providing both historical and practical perspectives from arithmetic to infinity.” – Gemma Tarlach, Discover
Read part 1 here! M x