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Where did maths come from? Who thought up all those algebra symbols, and why? What's the story behind ... negative numbers? ... the metric system? ... quadratic equations? ... sine and cosine? The 25 independent sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that's accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch contains Questions...
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Originally published in German as Der Zahlen gigantische Schatten with great critical acclaim, this English translation by two involved readers is pleasing and easy to read while preserving the intellectual spirit of the original. A background in mathematics is not necessary to enjoy and learn from this book. All that is required is an interest in the world around us and a desire to understand the impact and influence that numbers have, both historically...
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"A real-life mathematical mystery Nicolas Bourbaki was perhaps the greatest mathematician of the twentieth century. Responsible for the emergence of the "new math" that swept through American and foreign education systems in the middle of the century, Bourbaki originated the modern concept of the mathematical proof and is credited with the introduction of rigor into the discipline. It can be said that no working mathematician in the world today is...
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"The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions...
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Mathematics often seems incomprehensible, a melee of strange symbols thrown down on a page. But while formulae, theorems, and proofs can involve highly complex concepts, the math becomes transparent when viewed as part of a bigger picture. What Is a Number? provides that picture. Robert Tubbs examines how mathematical concepts like number, geometric truth, infinity, and proof have been employed by artists, theologians, philosophers, writers, and cosmologists...
Description
This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practice it. It addresses questions of who creates mathematics, who uses it, and how. The thirty-six chapters are arranged under three main headings: 'Geographies and Cultures', 'Peoples and Practices', and 'Interactions and Interpretations'. They deal with the mathematics of 5000 years. The...
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A squared plus b squared equals c squared. It sounds simple, doesn't it? Yet this familiar expression is a gateway into the riotous garden of mathematics, and sends us on a journey of exploration in the company of two inspired guides, who trace the life of the Pythagorean theorem from ancient Babylon to the present, visiting along the way Leonardo da Vinci, Albert Einstein, President James Garfield, and the Freemasons--not to mention the elusive Pythagoras...
Description
"In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam gives English readers a firsthand...
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Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. Euclid's Elements is arguably the most influential book in the history of mathematics. Berlinski provides a concise homage to this elusive mathematician and his staggering achievements, and shows that, for centuries, scientists and thinkers have relied on Euclid's axiomatic system, a method of proof still taught in classrooms...
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"Alexandria in 412 CE was a venerable city that honored and preserved great learning. But it was also a city wracked by religious conflict that finds echoes in our own time. Within this maelstrom we find Hypatia, a woman of great intellectual achievement and known as the world's greatest mathematician. Friend and foe alike noted her stunning beauty, her devoted celibacy, and her remarkable popularity as a teacher of mathematics, astronomy, and philosophy....
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From the publisher. Peterson makes an extraordinary claim in this fascinating book focused around the life and thought of Galileo: it was the mathematics of Renaissance arts, not Renaissance sciences, that became modern science. Galileo's Muse argues that painters, poets, musicians, and architects brought about a scientific revolution that eluded the philosopher-scientists of the day, steeped as they were in a medieval cosmos and its underlying philosophy....
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"Often referred to as the Newton of France, Pierre Simon Laplace has been called the greatest scientist of the late eighteenth and early nineteenth centuries. He affirmed the stability of the solar system and offered a powerful hypothesis about its origins. A skillful mathematician and popular philosopher, Laplace also did pioneering work on probability theory, in devising a method of inverse probabilities associated with his classic formulation of...
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