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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 readers 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. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questions about the mathematical community (such as 'Is it true that mathematicians burn out at the age of 25?') It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.
About the Series: Combining authority with wit, accessibility, and style, VeryThe 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 readers of this book will emerge with a clearer understanding of
This Very Short Introduction explores the rich historical and cultural diversity of mathematical practice, ranging from the distant past to the present. Historian Jacqueline Stedall shows that mathematical ideas are far from being fixed, but are adapted and changed by their passage across periods
This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical
This Very Short Introduction might prove disappointing to those expecting an introduction to a very short man. Dispelling the myth of Napoleon Bonaparte's short stature, as well as the other rumors and legends, David A. Bell provides a concise, accurate, and lively portrait of Napoleon Bonaparte's
Plants form a fundamental element of the biosphere, and the evolution of plants has directly affected the evolution of animal life and the evolution of the Earth's climate. Plants have also become essential to humans not only in the form of cereal crops, fruit, and vegetables, but in their many
In this Very Short Introduction, Kenneth Morgan provides a wide-ranging thematic introduction to modern Australia, examining the main features of its history, geography and culture since the beginning of European settlement in New South Wales in 1788. It highlights the distinctive features of
Algebra marked the beginning of modern mathematics, moving it beyond arithmetic, which involves calculations featuring given numbers, to problems where some quantities are unknown. Now, it stands as a pillar of mathematics, underpinning the quantitative sciences, both social and physical. This Very
Gravity is one of the four fundamental interactions that exist in nature. It also has the distinction of being the oldest, weakest, and most difficult force to quantize. Understanding gravity is not only essential for understanding the motion of objects on Earth, but also the motion of all
The Brain: A Very Short Introduction provides a non-technical introduction to the main issues and findings in current brain research and gives a sense of how neuroscience addresses questions about the relationship between the brain and the mind. Short, clear discussions on the mechanical workings
What are philosophers trying to achieve? How can they succeed? Does philosophy make progress? Is it in competition with science, or doing something completely different, or neither? Timothy Williamson tackles some of the key questions surrounding philosophy in new and provocative ways, showing how
Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the 'building blocks' of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks, and for many years hasbeen
This Very Short Introduction introduces readers to the key concepts of political philosophy: authority, democracy, freedom and its limits, justice, feminism, multiculturalism, and nationality. Accessibly written and assuming no previous knowledge of the subject, it encourages the reader to think
In A Very Short Introduction to Politics, Kenneth Minogue begins with a discussion of issues arising from a historical account of politics, and goes on to offer chapters dealing with the Ancient Greeks and the idea of citizenship; Roman law; medieval Christianity and individualism; freedom since
This Very Short Introduction employs the disciplines of history, religious studies, and anthropology as it illuminates the complexities of Aztec life. Readers meet a people highly skilled in sculpture, astronomy, city planning, poetry, and philosophy, who were also profoundly committed to cosmic
This Very Short Introduction provides an up-to-date, authoritative, and accessible guide to modern child psychology, from birth to early adolescence. Beginning with infancy, Usha Goswami considers the process of attachment and bonding, showing how secure attachments enable the development of
In Kabbalah: A Very Short Introduction, Joseph Dan, one of the world's leading authorities on Jewish mysticism, offers a concise and highly accurate look at the history and character of the various systems developed by the adherents of the Kabbalah. Dan sheds light on the many misconceptions about
This Very Short Introduction is an exciting and non-traditional approach to understanding the terminology, properties, and classification of chemical elements. It traces the history and cultural impact of the elements on humankind, and examines why people have long sought to identify the substances
Psychotherapy and counselling are now widely available to help people overcome emotional and psychological difficulties in their lives. They involve spending time with a professional in an emotionally safe and structured relationship to explore and express the issues that cause distress and
In this enlightening new Very Short Introduction, Simon Critchley shows us that Continental philosophy encompasses a distinct set of philosophical traditions and practices, with a compelling range of problems all too often ignored by the analytic tradition. He discusses the ideas and approaches of
This Very Short Introduction answers four basic questions: what is Geography, how do geographers work, why is Geography important, and where is the discipline of Geography heading? Geography has always been important, though it has had only a short history as an academic discipline and is much