What is the significance of mankind in the Universe? Ever since Copernicus, scientists have been moving man further and further from his lofty position at the center of Creation. But in recent years a startling new concept has evolved that puts humans more firmly than ever in a special position. Known as the Anthropic Cosmological Principle, it holds that the fundamental structure of the Universe is determined by the existence of intelligent observers: the universe is as it is because if it were otherwise, observers could not exist. In its most radical version, the Anthropic Principle asserts: "Intelligent information-processing must come into existence in the Universe, and once it comes into existence, it will never die out."
This invaluable little book highlights the real mistakes that students make in the exam - and shows how to avoid them. Based on analysis of thousands of exam scripts, each unit targets a key problem area. Clear explanations and exercises help students to use the language accurately. Regular tests offer students a further opportunity to check and consolidate what they have learnt.
Our love of art, writes John Barrow, is the end product of millions of years of evolution. How we react to a beautiful painting or symphony draws upon instincts laid down long before humans existed. Now, in this enhanced edition of the highly popular The Artful Universe, Barrow further explores the close ties between our aesthetic appreciation and the basic nature of the Universe.
This book contains the problems and solutions of a famous Hungarian mathematics competition for high school students, from 1929 to 1943. The competition is the oldest in the world, and started in 1894. Two earlier volumes in this series contain the papers up to 1928, and further volumes are planned. The current edition adds a lot of background material which is helpful for solving the problems therein and beyond. Multiple solutions to each problem are exhibited, often with discussions of necessary background material or further remarks. This feature will increase the appeal of the book to experienced mathematicians as well as the beginners for whom it is primarily intended.
This book contains the problems and solutions of a famous Hungarian mathematics competition for high school students. There are multiple solutions to each problem, often with discussions of background material or further remarks. This will widen the appeal of the book beyond the beginners for whom it is primarily intended.
What is the significance of mankind in the Universe? Ever since Copernicus, scientists have been moving man further and further from his lofty position at the center of Creation. But in recent years a startling new concept has evolved that puts humans more firmly than ever in a special position. Known as the Anthropic Cosmological Principle, it holds that the fundamental structure of the Universe is determined by the existence of intelligent observers: the universe is as it is because if it were otherwise, observers could not exist. In its most radical version, the Anthropic Principle asserts: "Intelligent information-processing must come into existence in the Universe, and once it comes into existence, it will never die out."
