**Author**: Tony Crilly

**Publisher:** Hachette UK

**ISBN:**

**Category:** Mathematics

**Page:** 208

**View:** 344

Just the mention of mathematics is enough to strike fear into the hearts of many, yet without it, the human race couldn't be where it is today. By exploring the subject through its 50 key insights - from the simple (the number one) and the subtle (the invention of zero) to the sophisticated (proving Fermat's last theorem) - this book shows how mathematics has changed the way we look at the world around us.

Who invented zero? Why 60 seconds in a minute? How big is infinity? Where do parallel lines meet? And can a butterfly's wings really cause a storm on the far side of the world? In 50 Maths Ideas You Really Need to Know, Professor Tony Crilly explains in 50 clear and concise essays the mathematical concepts - ancient and modern, theoretical and practical, everyday and esoteric - that allow us to understand and shape the world around us. Packed with diagrams, examples and anecdotes, this book is the perfect overview of this often daunting but always essential subject. For once, mathematics couldn't be simpler. Contents include: Origins of mathematics, from Egyptian fractions to Roman numerals; Pi and primes, Fibonacci numbers and the golden ratio; What calculus, statistics and algebra can actually do; The very real uses of imaginary numbers; The Big Ideas of relativity, Chaos theory, Fractals, Genetics and hyperspace; The reasoning behind Sudoku and code cracking, Lotteries and gambling, Money management and compound interest; Solving of Fermat's last theorem and the million-dollar question of the Riemann hypothesis.

"Who invented zero? Why 60 seconds in a minute? How big is infinity? Where do parallel lines meet? And can a butterfly's wings really cause a storm on the far side of the world? In 50 Mathematical Ideas You Really Need to Know, Professor Tony Crilly explains in 50 clear and concise essays the mathematical concepts - ancient and modern, theoretical and practical, everyday and esoteric - that allow us to understand and shape the world around us. Beginning with zero itself and concluding with the last great unsolved problem, 50 Mathematical Ideas introduces the origins of mathematics, from Egyptian fractions to Roman numerals; explains the near-mystical significance of pi and primes, Fibonacci numbers and the golden ratio; tells you the things they didn't at school - what calculus, statistics and algebra can actually do, and the very real uses of imaginary numbers; illuminates the big Ideas of relativity, chaos theory, fractals, genetics and hyperspace; reveals the unspoken reasoning behind Sudoku and code cracking, lotteries and gambling, money management and compound interest; explores the latest mind-shattering developments, including the solving of Fermat's last theorem and the million-dollar question of the Riemann hypothesis. Packed with diagrams, examples and anecdotes, 50 Mathematical Ideas is the perfect overview of this often daunting but always essential subject. For once, mathematics couldn't be simpler."--Publisher's description.

Science first began as a branch of philosophy, but it has since grown up and moved out of the family home, and its successes have put its parent in the shade. Thanks to scientific knowledge we have walked on the Moon, cured once-fatal illnesses, and even identified the very building blocks of life and the universe. But it is these very successes that underline the need for philosophy. How much should we trust the pronouncements of scientists that we read in the media? What are the ethical implications of our delving into the foundations of our DNA, reproductive treatments, or artificially prolonging life? And are there limits to what science can tell us about the world we think we know? In straightforward and accessible terms, 50 Philosophy of Science Ideas You Really Need to Know explains the key philosophical questions that continue to lie at the heart of the nature and practice of science today. The ideas explored include: Appearance and reality; Knowledge; Anti-realism; Metaphysics; Science and gender; Phenomenology and science.

The Big Questions series is designed to let renowned experts address the 20 most fundamental and frequently asked questions of a major branch of science or philosophy. Each 3000-word essay simply and concisely examines a question that has eternally perplexed enquiring minds, and provides answers from history's great thinkers. This ambitious project is a unique distillation of humanity's best ideas. In Big Questions: Mathematics, Tony Crilly answers the 20 key questions: What is maths for? Where do numbers come from? Why are primes the atoms of maths? What are the strangest numbers? Are imaginary numbers real? How big is infinity? Where do parallel lines meet? What is the maths of the universe? Are statistics lies? Can maths guarantee riches? Is there a formula for everything? Why are three dimensions not enough? Can a butterfly's wings really cause a hurricane? Can we create an unbreakable code? Is maths beauty? Can maths predict the future? What shape is the universe? What is symmetry? Is maths true? Is there anything left to solve?

What are the strangest numbers? Where do numbers come from? Can maths guarantee riches? Why are three dimensions not enough? Can a butterfly's wings really cause a hurricane? Can maths predict the future? In How Big is Infinity?, acclaimed writer Tony Crilly distills the wisdom of some of the greatest minds in history to help provide answers some of the most perplexing, stimulating and surprising questions in mathematics.

The Big Questions series is designed to let renowned experts address the 20 most fundamental and frequently asked questions of a major branch of science or philosophy. Each 3000-word essay simply and concisely examines a question that has eternally perplexed enquiring minds, and provides answers from history's great thinkers. This ambitious project is a unique distillation of humanity's best ideas. In Big Questions: Mathematics, Tony Crilly answers the 20 key questions: What is maths for? Where do numbers come from? Why are primes the atoms of maths? What are the strangest numbers? Are imaginary numbers real? How big is infinity? Where do parallel lines meet? What is the maths of the universe? Are statistics lies? Can maths guarantee riches? Is there a formula for everything? Why are three dimensions not enough? Can a butterfly's wings really cause a hurricane? Can we create an unbreakable code? Is maths beauty? Can maths predict the future? What shape is the universe? What is symmetry? Is maths true? Is there anything left to solve?

How can we meet the increasing demands on American education for more content, greater complexity, and much higher levels of student success? How can we make every student a more effective learner? How can we help every teacher support learning more productively? How can we create schools that enable each and every child to achieve the education to which he or she aspires? We can with a new technology of education - a technology focused on student practice and conceptual visualization. Fortunately, this new technology is now at hand, and it can enable us to revolutionize education. Please join me in an exploration of these new physical ideas that are here, so desperately, needed. Art Bardige

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