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.

In this Very Short Introduction, Simon Horobin investigates how we have arrived at the English we know today and celebrates the way new speakers and new uses mean that it continues to adapt. Engaging with contemporary concerns about correctness, Horobin considers whether such changes are improvements or evidence of slipping standards.

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.

This Very Short Introduction looks at the importance accorded to the bible by different communities and cultures and attempts to explain why it has generated such a rich variety of uses and interpretations. It explores how the Bible was written, the development of the canon, the role of biblical criticism, the appropriation of the bible in high and popular culture, and its use for political ends.

Numbers are integral to our everyday lives and factor into almost everything we do. In this Very Short Introduction audiobook, Peter M. Higgins, a renowned popular-science writer, unravels the world of numbers, demonstrating its richness and providing an overview of all the number types that feature in modern science and mathematics.

E. H. Gombrich's world history, an international best seller now available in English for the first time, is a text dominated not by dates and facts but by the sweep of experience across the centuries, a guide to humanity's achievements, and an acute witness to its frailties.

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This Very Short Introduction audiobooks draws on the very latest science from the 2021 IPCC Report, examining the evidence that climate change is already happening and discussing its potential catastrophic impacts in the future. Mark Maslin also explores the geopolitics of climate change and the win-win solutions we can employ to avoid the very worst effects of climate change. Throughout, he demonstrates how we must develop new modes of thinking for the 21st century at individual, corporate, and government levels to collectively tackle the challenge of climate change.

We are living in the computer age, in a world increasingly designed and engineered by computer programmers and software designers, by people who call themselves hackers. Who are these people, what motivates them, and why should you care? Consider these facts: Everything around us is turning into computers. Your typewriter is gone, replaced by a computer. Your phone has turned into a computer. So has your camera. Soon your TV will. Your car was not only designed on computers, but has more processing power in it than a room-sized mainframe did in 1970.

Although there are many kinds of love, erotic love has been celebrated in art and poetry as life's most rewarding and exalting experience, worth living and dying for and bringing out the best in ourselves. And yet it has excused, and even been thought to justify, the most reprehensible crimes.

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.

This lively and accessible introduction to Plato focuses on the philosophy and argument of his writings, drawing the listener into Plato's way of doing philosophy, and the general themes of his thinking. It looks at Plato as a thinker grappling with philosophical problems in a variety of ways, rather than a philosopher with a fully worked-out system. It includes a brief account of Plato's life and the various interpretations that have been drawn from the sparse remains of information.

Brian and Deborah Charlesworth provide a clear and concise summary of the process of evolution by natural selection, and how natural selection gives rise to adaptations and eventually, over many generations, to new species. They introduce the central concepts of the field of evolutionary biology, as they have developed since Darwin and Wallace on the subject, over 140 years ago, and discuss some of the remaining questions regarding processes.

At a time of frightening volatility, what is the average investor to do? The answer: Turn to Burton G. Malkiel's advice in his reassuring, authoritative, gimmick-free, and perennially best-selling guide to investing. Long established as the first book to purchase before starting a portfolio or 401(k), A Random Walk Down Wall Street now features new material on "tax-loss harvesting", the crown jewel of tax management; the current bitcoin bubble; and automated investment advisers; as well as a brand-new chapter on factor investing and risk parity.

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.