Symmetry is an immensely important concept in mathematics and throughout the sciences. In this Very Short Introduction, Ian Stewart highlights the deep implications of symmetry and its important scientific applications across the entire subject.

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. 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.

Crystals have fascinated us for centuries with their beauty and symmetry, and have often been invested with magical powers. The use of X-ray diffraction, first pioneered in 1912 by father and son William and Lawrence Bragg, enabled us to probe the structure of molecules, and heralded the scientific study of crystals, leading to an understanding of their atomic arrangements at a fundamental level. The new discipline, called X-ray crystallography, has subsequently evolved into a formidable science that underpins many other scientific areas. Starting from the determination of the structures of very simple crystals, such as that of common salt, today it has become almost routine to determine the positions of tens of thousands of atoms in a crystal. In this Very Short Introduction Mike Glazer shows how the discoveries in crystallography have been applied to the creation of new and important materials, to drugs and pharmaceuticals and to our understanding of genetics, cell biology, proteins, and viruses. Tracing the history of crystallography, he analyses astonishing developments in new sources of X-rays, as well as of neutrons, and in electron microscopy, and considers the impact they have on the study of crystals today. 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.

Tom McLeish delves into the growing field of soft matter - the study of materials such as polymers, colloids, liquid crystals, and foams. Looking beneath their appearance to their inner structure, he discusses their shared physical properties, the principle of Brownian Motion that underlies all soft matter, and the applications of these materials.

Molecular biology has revolutionized our understanding of animals and their evolution. In this Very Short Introduction, Peter Holland provides an authoritative summary of the modern view of animal life, its origins, and the new classification resulting from DNA studies.

What is that strange and mysterious force that pulls one magnet towards another, yet seems to operate through empty space? This is the elusive force of magnetism. Stephen J. Blundell considers early theories of magnetism, the discovery that Earth is a magnet, and the importance of magnetism in modern technology.

Is it possible to take a set of particle masses and then work backwards to find a hidden symmetry? Does the Higgs Boson have a partner particle and might that particle solve the mystery of dark matter? Can the tiny masses of neutrinos be predicted? Prime Symmetry and Particle Physics begins with the understanding that the constant π does not have to be measured in spacetime: it can be calculated from a set of real numbers. Former PhD student, George Brewer explores the idea that if this is true of π, why not of other constants? A standard model of physics predicts interactions between quantum fields when particles scatter, but 26 numbers, dimensionless constants for force strengths and the masses of elementary particles, still need to be put into that model. Brewer proposes that many of those constants can actually be calculated from a single equation and a set of integer parameters – a theory that he calls the prime symmetry model. Comparing a set of measured constants against their calculated counterparts provides good evidence for the model's validity. Brewer opens the door for readers to join a select group with information that theorists and experimentalists at the Large Hadron Collider (LHC) are yet to consider, offering them the opportunity to verify the model’s deceptively simple mathematics for themselves, simply by using an online scientific calculator. Inspired by Albert Einstein, Stephen Hawking and Sean Carroll, Prime Symmetry and Particle Physics is an essential read for all particle physics enthusiasts. The book will also appeal to readers interested in the Higgs boson events at the LHC.

This volume presents the main lectures of the 23rd Congress of the International Organization for the Study of the Old Testament (IOSOT) held in Aberdeen, United Kingdom, in August 2019.

What is matter? Matter is the stuff from which we and all the things in the world are made. Everything around us, from desks, to books, to our own bodies are made of atoms, which are small enough that a million of them can fit across the breadth of a human hair. Inside every atom is a tiny nucleus and orbiting the nucleus is a cloud of electrons. The nucleus is made out of protons and neutrons, and by zooming in further you would find that inside each there are even smaller particles, quarks. Together with electrons, the quarks are the smallest particles that have been seen, and are the indivisible fundamental particles of nature that have existed since the Big Bang, almost 14 billion years ago. The 92 different chemical elements that all normal matter is made from were forged billions of years ago in the Big Bang, inside stars, and in violent stellar explosions. This Very Short Introduction takes us on a journey from the human scale of matter in the familiar everyday forms of solids, liquids, and gases to plasmas, exotic forms of quantum matter, and antimatter. On the largest scales matter is sculpted by gravity into planets, stars, galaxies, and vast clusters of galaxies. All the matter that that we normally encounter however constitutes only 5% of the matter that exists. The remaining 95% comes in two mysterious forms: dark matter, and dark energy. Dark matter is necessary to stop the galaxies from flying apart, and dark energy is needed to explain the observed acceleration of the expansion of the universe. Geoff Cottrell explores the latest research into matter, and shows that there is still a lot we don't know about the stuff our universe is made of. 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.

In this Very Short Introduction Peter M. Higgins presents an overview of the number types featured in modern science and mathematics. Providing a non-technical account, he explores the evolution of the modern number system, examines the fascinating role of primes, and explains their role in contemporary cryptography.