Overview

The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof--deductive reasoning from a set of axioms--first arose. To this day geometry remains a very active area of research in mathematics. This Very Short Introduction covers the areas of mathematics falling under geometry, starting with topics such as Euclidean and non-Euclidean geometries, and ranging to curved spaces, projective geometry in Renaissance art, and geometry of space-time inside a black hole. Starting from the basics, Maciej Dunajski proceeds from concrete examples (of mathematical objects like Platonic solids, or theorems like the Pythagorean theorem) to general principles. Throughout, he outlines the role geometry plays in the broader context of science and art.

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Maciej Dunajski is a fellow and graduate tutor at Clare College and a professor in mathematical physics at the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge. His research interests are differential and projective geometry, solitons, and general theory of relativity. In 2021 he was awarded the Atiyah fellowship by the London Mathematical Society. He is the author of Solitons, Instantons, and Twistors. Liam Gerrard is an award-winning voice artist with over ten years of experience working in every field of the voice industry, as well as a highly acclaimed stage and screen actor. His animation Walter Tull-Britain's First Black Officer was nominated for a BAFTA in 2016, and he has been nominated for an Audie Award in 2017. He has narrated over thirty audiobooks in a wide range of genres and styles. He comes from a large Irish family, although he was raised in Yorkshire before moving to the Middle East, where he went to school. He studied at Lancaster University and then as a classically trained actor at Mountview; he is currently the youngest actor to play the lead role of Prospero in Shakespeare's The Tempest in London's West End. He has worked for the most renowned theater companies, including the Royal Exchange Theatre (two Manchester theater award nominations), Edinburgh Lyceum Theatre (five Critics Choice nominations), Soho Theatre (MTN nomination), and most regional theaters throughout the U.K., including Alan Aykbourn's SJT, New Vic, Oldham Coliseum, Nottingham Playhouse, and Theatre by the Lake. His wide-ranging experience has also seen him perform Opera in Rigoletto. He is an associate lecturer at Sheffield Hallam University in Broadcast Voice and is also a communication skills specialist and trainer. In addition, he is an examiner for the Royal College of Psychiatry, Royal College of Surgeons, Royal Scottish College of Surgery. In his spare time Liam is also a musician who plays the violin, drums, piano, and percussion. He also enjoys spending time with Peg, his Springer Spaniel, out on the Peak District whenever he can get away from the studio! Mike Cooper is a British voice artist based in the United States. In addition to a wide variety of voice-over work he has narrated audiobooks including The Divine Spark, The Magician's Way, and The Last Shaman.

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