Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes. The infinitely large (infinite) is intimately related to the infinitely small (infinitesimal). Cosmologists consider sweeping questions about whether space and time are infinite. Philosophers and mathematicians ranging from Zeno to Russell have posed numerous paradoxes about infinity and infinitesimals. Many vital areas of mathematics rest upon some version of infinity. The most obvious, and the first context in which major new techniques depended on formulating infinite processes, is calculus. But there are many others, for example Fourier analysis and fractals.In this Very Short Introduction, Ian Stewart discusses infinity in mathematics while also drawing in the various other aspects of infinity and explaining some of the major problems and insights arising from this concept. He argues that working with infinity is not just an abstract, intellectual exercise but that it is instead a concept with important practical everyday applications, and considers how mathematicians use infinity and infinitesimals to answer questions or supply techniques that do not appear to involve the infinite.
✔ Author(s): Ian Stewart
✔ Title: Infinity: A Very Short Introduction (Very Short Introductions)
✔ Rating : 4.6 out of 5 base on (92 reviews)
✔ ISBN-10: 0198755236
✔ ISBN-13: 9780198755234
✔ Language: English
✔ Format ebook: PDF, EPUB, Kindle, Audio, HTML and MOBI
✔ Device compatibles: Android, iOS, PC and Amazon Kindle
Readers' opinions about Infinity by Ian Stewart
Elaine Leonard
This book is a treasure trove of knowledge and wisdom. The insights offered by the characters and their experiences have left a lasting impression on me.
Josephine Alvarez
The way this book explored the complexities of human nature and relationships was both profound and relatable. It touched my heart in ways I didn't expect.
Kara Snyder
The themes of resilience and hope resonated deeply with me. This book taught me valuable life lessons that I'll carry with me for years to come.
