Quantum theory is the most revolutionary discovery in physics since Newton. This book gives a lucid, exciting, and accessible account of the surprising and counterintuitive ideas that shape our understanding of the sub-atomic world. It does not disguise the problems of interpretation that still remain unsettled 75 years after the initial discoveries. Uncertainty, probabilistic physics, complementarity, the problematic character of measurement, and decoherence are among the many topics discussed.

The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and listeners of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought.

If you move at high speed, time slows down, space squashes up, and you get heavier. Travel fast enough and you could weigh as much as a jumbo jet, be flattened thinner than a CD without feeling a thing - and live forever! As for the angles of a triangle, they do not always have to add up to 180 degrees. And then, of course, there are black holes. These are but a few of the extraordinary consequences of Einstein's theory of relativity.

Physics, the fundamental science of matter and energy, encompasses all levels of nature from the subatomic to the cosmic, and underlies much of the technology around us. Understanding the physics of our universe is an essential aspect of humanity's quest to understand our environment and our place within it. Doing physics enables us to explore the interaction between environment and human society, and can help us to work towards the future sustainability of the planet.

Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, the basics of formal logic are explained in simple, non-technical terms, showing that logic is a powerful and exciting part of modern philosophy.

This Very Short Introduction presents the field of fluid mechanics by focusing on the underlying physical ideas and using everyday phenomena to demonstrate them, from dripping taps to swimming ducks. Eric Lauga shows how this set of fundamental physical concepts can be applied to a wide range of flow behaviors and highlights the role of fluid motion in both the natural and industrial worlds. This book also considers future applications of fluid mechanics in science.

Games are everywhere: Drivers maneuvering in heavy traffic are playing a driving game. Bargain hunters bidding on eBay are playing an auctioning game. The supermarket's price for corn flakes is decided by playing an economic game. This Very Short Introduction offers a succinct tour of the fascinating world of game theory, a groundbreaking field that analyzes how to play games in a rational way.

In this Very Short Introduction, Gerhard L. Weinberg provides an introduction to the origins, course, and impact of the war on those who fought and the ordinary citizens who lived through it. Starting by looking at the inter-war years and the German invasion of Poland in September 1939, he examines how the war progressed by examining a number of key events, including the war in the West in 1940, Barbarossa, the German Invasion of the Soviet Union, the expansion of Japan's war with China, developments on the home front, and the Allied victory from 1944-45.

This Very Short Introduction discusses the key concepts of biochemistry, as well as the historical figures in the field and the molecules they studied, before considering the current science and innovations in the field, and the interaction between biochemistry, biotechnology, and synthetic biology.

This second edition of the Very Short Introduction on ethics has revised and updated aspects of the original to reflect changing times and mores. It highlights the importance of an understanding of approaches to ethics and its foundations, confronted as we are with a fluid and uncertain world of eroding trust, swirling conspiracy theories, and a dismaying loss of respect in public discourse.

How much faith should we place in what scientists tell us? Is it possible for scientific knowledge to be fully "objective"? What, really, can be defined as science? In the second edition of this very short introduction, Samir Okasha explores the main themes and theories of contemporary philosophy of science and investigates fascinating, challenging questions such as these.

Enzymes are the astonishing tiny molecular machines that make life possible. Each one of these small proteins speeds up a single chemical reaction inside a living organism many millionfold. Working together, teams of enzymes carry out all the processes that collectively we recognize as life, from making DNA to digesting food. This Very Short Introduction explains the why and the how of speeding up these reactions - catalysis - before going on to reveal how we have evolved these catalysts of such extraordinary power and exquisite selectivity.

Nothing has had a more profound impact on the development of modern civilization than thermodynamics. Thermodynamic processes are at the heart of everything that involves heat, energy, and work, making an understanding of the subject indispensable for careers in engineering, physical science, biology, meteorology, and even nutrition and culinary arts. Get an in-depth tour of this vital and fascinating science in 24 enthralling lectures suitable for everyone from science novices to experts who wish to review elementary concepts and formulas.

The process by which nations escape poverty and achieve economic and social progress has been the subject of extensive examination for hundreds of years. The notion of development itself has evolved from an original preoccupation with incomes and economic growth to a much broader understanding of development. In this Very Short Introduction, Ian Goldin considers the contributions that education, health, gender, equity, and other dimensions of human well-being make to development.

This is a fascinating introduction to the history of Western astronomy, from prehistoric times to the origins of astrophysics in the mid-19th century. Historical records are first found in Babylon and Egypt, and after two millennia the arithmetical astronomy of the Babylonians merged with the Greek geometrical approach to culminate in the Almagest of Ptolemy. This legacy was transmitted to the Latin West via Islam and led to Copernicus's claim that the Earth is in motion.

With his characteristic eyebrow-raising behavior, Richard P. Feynman once provoked the wife of a Princeton dean to remark, "Surely you're joking, Mr. Feynman!" But the many scientific and personal achievements of this Nobel Prize-winning physicist are no laughing matter. Here, woven with his scintillating views on modern science, Feynman relates the defining moments of his accomplished life.

In this Very Short Introduction audiobook, Jan Zalasiewicz gives a brief introduction to the fascinating field of geology. Describing how the science developed from its early beginnings, he looks at some of the key discoveries that have transformed it before delving into its various subfields, such as sedimentology, tectonics, and stratigraphy.

Thinking about politics has tended to be historical in nature because of the comparisons and contrasts that can be drawn between past and present. Different periods in politics have used the past differently. At times, political thought can be said to have been drawn directly from the study of history; at others, perhaps including our own time, the relationship is more indirect.

The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof 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. Throughout, Maciej Dunajski outlines the role geometry plays in the broader context of science and art.

This lively and engaging book is the ideal introduction for anyone who has ever been puzzled by what philosophy is or what it is for. Edward Craig argues that philosophy is not an activity born from another planet; learning about it is just a matter of broadening and deepening what most of us do already. He shows that philosophy is no mere intellectual pastime.

Anthony Stevens argues that Jung's visionary powers and profound spirituality have helped many to find an alternative set of values to the arid materialism prevailing Western society.

This book is a clear and informative introduction to cryptography and data protection - subjects of considerable social and political importance. It explains what algorithms do, how they are used, the risks associated with using them, and why governments should be concerned. Important areas are highlighted, such as Stream Ciphers, block ciphers, public key algorithms, digital signatures, and applications such as e-commerce.

All academics need to write, but many struggle to finish their dissertations, articles, books, or grant proposals. Writing is hard work and can be difficult to wedge into a frenetic academic schedule. How can we write it all while still having a life? In this second edition of his popular guidebook, Paul Silvia offers fresh advice to help you overcome barriers to writing and use your time more productively.

The Sun, as our nearest star, is of enormous importance for life on Earth, providing the warm radiation and light which allowed complex life to evolve. The Sun plays a key role in influencing our climate, while solar storms and high-energy events can threaten our communication infrastructure and satellites.

As globalization creates increasing challenges to established marketing practices, marketing efforts need to reposition and adapt continuously to maintain an organization's ability to reach potential customers. This Very Short Introduction provides a general overview of the function and importance of marketing to modern organizations. Kenneth Le Meunier-FitzHugh discusses how marketing remains central to creating competitive advantage, and why it needs to be forward looking and constantly reinventing itself in line with new developments in the marketplace.