The most important word in the title of this book is “gentle”. The prior knowledge needed is sets, functions, proof and the real numbers. Part 1 introduces metric spaces and defines open subsets by using the concept of r-open balls. A feature of the book is the frequent “Think about” sections, in which students’ are asked to reflect on what they have just been doing. Also each chapter ends with an investigation, intended to allow students to apply their knowledge in a new context. The Bookboon website contains background material and a video introduction to each chapter.
About the Author
I had a thorough training in analysis and general topology as an undergraduate, and my doctoral research was in nets and compactifications. I have taught analysis and general topology in three universities, most recently in Asia, but earlier in the UK Open University, where I was also involved in mathematics education. I enjoy helping students appreciate the precision and rigour of analysis and topology, and I continue to gain much pleasure through investigating their secrets.