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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. Very Short Introductions: Brilliant, Sharp, Inspiring ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
This book investigates the fundamental principles of geometry, tracing its evolution from ancient deductive reasoning to its modern applications in theoretical physics. Maciej Dunajski, a reader in mathematical physics at the University of Cambridge, utilizes historical context and mathematical proofs to explain how geometric concepts transition from simple Euclidean shapes to complex, multidimensional spaces. The text argues that geometry serves as a bridge between abstract mathematical theory and the physical reality of the universe.
What You Will Find
Scope Limits
Experts and readers frequently note the accessibility of the prose, which balances historical narrative with technical mathematical concepts. It is widely regarded as a concise, foundational overview suitable for students and interested laypeople seeking a structured introduction to the field.
Page Count:
176
Publication Date:
2022-01-01
Publisher:
OUP Oxford
ISBN-10:
0191506613
ISBN-13:
9780191506611
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