Symmetry: A Very Short Introduction
豆瓣
A Very Short Introduction
Ian Stewart
简介
Explores one of the most important concepts in mathematics and science
Examines the role of symmetry in mathematics, physics, chemistry, and biology
Considers the scientific applications of symmetry
Part of the bestselling Very Short Introductions series
In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature.
It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory.
Readership: Students of mathematics, physics, and chemistry, as well as general readers interested in symmetry.
contents
Introduction
1: What is symmetry?
2: Origins of symmetry
3: Types of symmetry
4: Structure of groups
5: Groups and games
6: Nature's patterns
7: Nature's laws
8: Atoms of symmetry
Further reading
References