SEVENTEEN EQUATIONS THAT CHANGED THE WORLD

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Seventeen Equations That Changed The World

Author : Ian Stewart
ISBN : 9781847657695
Genre : Mathematics
File Size : 36.76 MB
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From Newton's Law of Gravity to the Black-Scholes model used by bankers to predict the markets, equations, are everywhere -- and they are fundamental to everyday life.Seventeen Equations that Changed the World examines seventeen ground-breaking equations that have altered the course of human history. He explores how Pythagoras's Theorem led to GPS and Satnav; how logarithms are applied in architecture; why imaginary numbers were important in the development of the digital camera, and what is really going on with Schrdinger's cat. Entertaining, surprising and vastly informative, Seventeen Equations that Changed the World is a highly original exploration -- and explanation -- of life on earth.
Category: Mathematics

Professor Stewart S Incredible Numbers

Author : Ian Stewart
ISBN : 9781782831587
Genre : Mathematics
File Size : 43.23 MB
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Ian Stewart explores the astonishing properties of numbers from 1 to 10 to zero and infinity, including one figure that, if you wrote it out, would span the universe. He looks at every kind of number you can think of -- real, imaginary, rational, irrational, positive and negative -- along with several you might have thought you couldn't think of. He explains the insights of the ancient mathematicians, shows how numbers have evolved through the ages, and reveals the way numerical theory enables everyday life. Under Professor Stewart's guidance you will discover the mathematics of codes, Sudoku, Rubik's Cube, music, primes and pi. You may be surprised to find you live in eleven-dimensional space, that of the twenty-three people on a football pitch two are more likely than not to share the same birthday, and that forty-two is a very interesting number. Professor Stewart's Incredible Numbers will delight everyone who loves numbers -- including those who currently think they don't.
Category: Mathematics

Mathematical Studies Standard Level For The Ib Diploma Coursebook

Author : Caroline Meyrick
ISBN : 9781107691407
Genre : Juvenile Nonfiction
File Size : 53.55 MB
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This completely new title is written to specifically cover the new IB Diploma Mathematical Studies syllabus. The significance of mathematics for practical applications is a prominent theme throughout this coursebook, supported with Theory of Knowledge, internationalism and application links to encourage an appreciation of the broader contexts of mathematics. Mathematical modelling is also a key feature. GDC tips are integrated throughout, with a dedicated GDC chapter for those needing more support. Exam hints and IB exam-style questions are provided within each chapter; sample exam papers (online) can be tackled in exam-style conditions for further exam preparation. Guidance and support for the internal assessment is also available, providing advice on good practice when writing the project.
Category: Juvenile Nonfiction

Karl Popper And The Two New Secrets Of Life

Author : Hans-Joachim Niemann
ISBN : 3161532074
Genre : Philosophy
File Size : 50.57 MB
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The story of how humans and all living things came into existence is told in two widely believed versions: the Book of Genesis and Darwin's Origin of Species . It was the philosopher Karl Popper who presented us with a third story, no less important. His New Interpretation of Darwinism denies the creative power of blind chance and natural selection and establishes knowledge and activity of all living beings as the real driving forces of evolution. Thus, spiritual elements are back in the theory of evolution, and in Popper's view "the entire evolution is an adventure of the mind." In this book, Hans-Joachim Niemann establishes Karl Popper as an eminent philosopher of biology. In the first chapter, biographical details are unearthed concerning how Popper's biological interests were inspired by a biological meeting in the old windmill at Hunstanton in 1936. The second chapter focusses on the year 1986 when Popper, in several lectures, summarized the results of his life-long biological thinking. The most important of these, the Medawar Lecture given at the Royal Society London, was lost for a long time and is now printed in the Appendix. A new world view begins to emerge that is completely different from Creationism or Darwinism. Twenty years after Popper's death, the last chapter looks back on his biological thoughts in the light of new results of molecular biology. His attack at that time on long-lasting dogmas of evolutionary theory turned out to be largely justified. The new biology seems even well suited to support Popper's endeavour to overcome the gloomy aspects of Darwinism that have made organisms passive parts of a machinery of deadly competition. Neither blind chance nor natural selection are the creative forces of all life, but rather knowledge and activity. How they came into existence is still a secret and a worthwhile research programme.--
Category: Philosophy

Significant Figures

Author : Ian Stewart
ISBN : 9781782831495
Genre : Science
File Size : 87.89 MB
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Which mathematician elaborated a crucial concept the night before he died in a duel? Who funded his maths and medical career through gambling and chess? Who learned maths from her wallpaper? Ian Stewart presents the extraordinary lives and amazing discoveries of twenty-five of history's greatest mathematicians from Archimedes and Liu Hui to Benoit Mandelbrot and William Thurston. His subjects are the inspiring individuals from all over the world who have made crucial contributions to mathematics. They include the rediscovered geniuses Srinivasa Ramanujan and Emmy Noether, alongside the towering figures of Muhammad al-Khwarizmi (inventor of the algorithm), Pierre de Fermat, Isaac Newton, Carl Friedrich Gauss, Nikolai Ivanovich Lobachevsky, Bernhard Reimann (precursor to Einstein), Henri Poincar, Ada Lovelace (arguably the first computer programmer), Kurt Gdel and Alan Turing. Ian Stewart's vivid accounts are fascinating in themselves and, taken together, cohere into a riveting history of key steps in the development of mathematics.
Category: Science

Calculating The Cosmos

Author : Ian Stewart
ISBN : 9781782831501
Genre : Science
File Size : 33.38 MB
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Ian Stewart's up-to-the-minute guide to the cosmos moves from the formation of the Earth and its Moon to the planets and asteroids of the solar system and from there out into the galaxy and the universe. He describes the architecture of space and time, dark matter and dark energy, how galaxies form, why stars implode, how everything began, and how it will end. He considers parallel universes, what forms extra-terrestrial life might take, and the likelihood of Earth being hit by an asteroid. Mathematics, Professor Stewart shows, has been the driving force in astronomy and cosmology since the ancient Babylonians. He describes how Kepler's work on planetary orbits led Newton to formulate his theory of gravity, and how two centuries later irregularities in the motion of Mars inspired Einstein's theory of general relativity. In crystal-clear terms he explains the fundamentals of gravity, spacetime, relativity and quantum theory, and shows how they all relate to each other. Eighty years ago the discovery that the universe is expanding led to the Big Bang theory of its origins. This in turn led cosmologists to posit features such as dark matter and dark energy. But does dark matter exist? Could another scientific revolution be on the way to challenge current scientific orthodoxy? These are among the questions Ian Stewart raises in his quest through the realms of astronomy and cosmology.
Category: Science

Wheelers

Author : Ian Stewart
ISBN : 1540608654
Genre :
File Size : 45.79 MB
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In the year 2270, with travel to the nearby planets well established, a bizarre discovery is made on Callisto, the eighth moon of Jupiter. Dozens upon dozens of strange wheeled artifacts-wheelers-are found buried beneath the icy surface. No one knows what they were used for and who left them in our solar system. At the same time, it is discovered that the moons of Jupiter have moved from their age-old positions. A quickly formed expedition finds that Jupiter is inhabited by a race of balloon-like aliens, who defend their world against comet strikes by moving their moons using gravitational technology. This time, though, their redirection is aiming an incoming comet directly at Earth! Communication at first proves impossible, but an Earth child who has an intuitive understanding of animal behavior becomes the key to contacting them-and joining forces with them to save the world.
Category:

The Little Purple Probability Book

Author : Brandon Royal
ISBN : 9781897393673
Genre : Mathematics
File Size : 87.11 MB
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Fine-tune your numerical mindset with a quantitative review that serves as a tool for perceiving probability in a new way. Whether you’re a high school student, college student, or a test-prep candidate, this book’s wealth of explanations and insights makes it a perfect learning companion. Enjoy the benefits of your own short course in probability: •Be able to think conceptually by understanding how key problems “fit” within the main topics of probability, permutations, combinations, and enumerations. *Master basic probability using a simple “flowchart” to identify the correct formulas. *Understand when to “add” probabilities and when to “multiply” probabilities. *Be able to distinguish between events that are independent versus not independent and events that are mutually exclusive versus not mutually exclusive. *Grasp key differences between permutations and combinations and look for key words such as “arrangements” or “selections” to indicate the correct problem type. *Solve tricky permutation problems that involve repeated letters or numbers. *Approach probability problems with a newfound confidence and competency. This book is focused on honing those thinking skills that are essential for mastering basic probability. Such thinking skills make it much more likely that a person will be able to understand the “how” and “why” of problem solving, approach the subject in a conceptual way, and grasp those key principles that act as themes to bind related problems. These skills combine the science of math with the art of numbers. “To get started in probability theory, all you need are a few basic principles. Here they are, clear and uncluttered, in a short, simple book that comes as a welcome breath of fresh air.” —Dr. Ian Stewart, author of 17 Equations That Changed the World and the Cabinet of Mathematical Curiosities
Category: Mathematics

Do Dice Play God

Author : Ian Stewart
ISBN : 9781782834014
Genre : Mathematics
File Size : 73.57 MB
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Uncertainty is everywhere. It lurks in every consideration of the future - the weather, the economy, the sex of an unborn child - even quantities we think that we know such as populations or the transit of the planets contain the possibility of error. It's no wonder that, throughout that history, we have attempted to produce rigidly defined areas of uncertainty - we prefer the surprise party to the surprise asteroid. We began our quest to make certain an uncertain world by reading omens in livers, tea leaves, and the stars. However, over the centuries, driven by curiosity, competition, and a desire be better gamblers, pioneering mathematicians and scientists began to reduce wild uncertainties to tame distributions of probability and statistical inferences. But, even as unknown unknowns became known unknowns, our pessimism made us believe that some problems were unsolvable and our intuition misled us. Worse, as we realized how omnipresent and varied uncertainty is, we encountered chaos, quantum mechanics, and the limitations of our predictive power. Bestselling author Professor Ian Stewart explores the history and mathematics of uncertainty. Touching on gambling, probability, statistics, financial and weather forecasts, censuses, medical studies, chaos, quantum physics, and climate, he makes one thing clear: a reasonable probability is the only certainty.
Category: Mathematics