In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.

    Over the next two decades, Copernicus expanded his theory through hundreds of observations, while compiling in secret a book-length manuscript that tantalized mathematicians and scientists throughout Europe. For fear of ridicule, he refused to publish.In 1539, a young German mathematician, Georg Joachim Rheticus, drawn by rumors of a revolution to rival the religious upheaval of Martin Luther's Reformation, traveled to Poland to seek out Copernicus. Two years later, the Protestant youth took leave of his aging Catholic mentor and arranged to have Copernicus's manuscript published, in 1543, as De revolutionibus orbium coelestium (On the Revolutions of the Celestial Spheres)-the book that forever changed humankind's place in the universe.In her elegant, compelling style, Dava Sobel chronicles, as nobody has, the conflicting personalities and extraordinary discoveries that shaped the Copernican Revolution. At the heart of the book is her play And the Sun Stood Still, imagining Rheticus's struggle to convince Copernicus to let his manuscript see the light of day. As she achieved with her bestsellers Longitude and Galileo's Daughter, Sobel expands the bounds of narration, giving us an unforgettable portrait of scientific achievement, and of the ever-present tensions between science and faith.

    In this book, you’ll learn how many of the most fundamental data science tools and algorithms work by implementing them from scratch. If you have an aptitude for mathematics and some programming skills, author Joel Grus will help you get comfortable with the math and statistics at the core of data science, and with hacking skills you need to get started as a data scientist. Today’s messy glut of data holds answers to questions no one’s even thought to ask. This book provides you with the know-how to dig those answers out. Get a crash course in Python Learn the basics of linear algebra, statistics, and probability—and understand how and when they're used in data science Collect, explore, clean, munge, and manipulate data Dive into the fundamentals of machine learning Implement models such as k-nearest Neighbors, Naive Bayes, linear and logistic regression, decision trees, neural networks, and clustering Explore recommender systems, natural language processing, network analysis, MapReduce, and databases

     Euclid in living color   Nearly a century before Mondrian made geometrical red, yellow, and blue lines famous, 19th century mathematician Oliver Byrne employed the color scheme for the figures and diagrams in his most unusual 1847 edition of Euclid's Elements. The author makes it clear in his subtitle that this is a didactic measure intended to distinguish his edition from all others: “The Elements of Euclid in which coloured diagrams and symbols are used instead of letters for the greater ease of learners.” As Surveyor of Her Majesty’s Settlements in the Falkland Islands, Byrne had already published mathematical and engineering works previous to 1847, but never anything like his edition on Euclid. This remarkable example of Victorian printing has been described as one of the oddest and most beautiful books of the 19th century. Each proposition is set in Caslon italic, with a four-line initial, while the rest of the page is a unique riot of red, yellow, and blue. On some pages, letters and numbers only are printed in color, sprinkled over the pages like tiny wild flowers and demanding the most meticulous alignment of the different color plates for printing. Elsewhere, solid squares, triangles, and circles are printed in bright colors, expressing a verve not seen again on the pages of a book until the era of Dufy, Matisse, and Derain.

    Simmons advocates a careful approach to the subject, covering such topics as the wave equation, Gauss's hypergeometric function, the gamma function and the basic problems of the calculus of variations in an explanatory fashions - ensuring that students fully understand and appreciate the topics.

    When famed archaeologist Arthur Evans unearthed the ruins of a sophisticated Bronze Age civilization that flowered on Crete 1,000 years before Greece's Classical Age, he discovered a cache of ancient tablets, Europe's earliest written records. For half a century, the meaning of the inscriptions, and even the language in which they were written, would remain a mystery. Award-winning New York Times journalist Margalit Fox's riveting real-life intellectual detective story travels from the Bronze Age Aegean--the era of Odysseus, Agamemnon, and Helen--to the turn of the 20th century and the work of charismatic English archeologist Arthur Evans, to the colorful personal stories of the decipherers. These include Michael Ventris, the brilliant amateur who deciphered the script but met with a sudden, mysterious death that may have been a direct consequence of the decipherment; and Alice Kober, the unsung heroine of the story whose painstaking work allowed Ventris to crack the code.

    In Rats, the critically acclaimed bestseller, Robert Sullivan spends a year investigating a rat-infested alley just a few blocks away from Wall Street. Sullivan gets to know not just the beast but its friends and foes: the exterminators, the sanitation workers, the agitators and activists who have played their part in the centuries-old war between human city dweller and wild city rat. Sullivan looks deep into the largely unrecorded history of the city and its masses-its herds-of-rats-like mob. Funny, wise, sometimes disgusting but always compulsively readable, Rats earns its unlikely place alongside the great classics of nature writing. With an all-new Afterword by the author

    Through the allegory of Alice's adventures and encounters, Gilmore makes the essential features of the quantum world clear and accessible. It is a thrilling introduction to some essential, often difficult-to-grasp concepts about the world we inhabit.

    And unlike dogs, cats offer humans no practical benefit. The truth is they are sadly incompetent mouse-catchers and now pose a threat to many ecosystems. Yet, we love them still.Content:Catacombs Cat's cradle What's the catch? The cats that ate the canaries The cat lobby CAT scan Pandora's litter box Lions and toygers and lykoi Nine likes.

    A Short History of the World takes readers from the Mayans to Mongolia, from the kingdom of Benin to the court of the Jagiellonian kings of Poland. Traditional histories of this kind have tended to be Eurocentric, telling mankind's story through tales of Greece and Rome and the crowned heads of Europe's oldest monarchies. Here, Marr widens the lens, concentrating as much, if not more on the Americas, Africa, and Asia. Instead of focusing on one episode of history taking place in one place, he draws surprising parallels and makes fascinating connections, focusing on a key incident or episode to tell a larger story: for instance, the liberation of the serfs in Russia, which took place at the same time as the American Civil War, which resulted in the abolition of slavery in the U.S.  But he begins the account with an episode in the life of Tolstoy, who racked up huge gambling debts and had to sell land and slaves as a result. Fresh and exciting, this is popular history at its very best.

    Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 1 includes Introduction, Books 1-2: Triangles, rectangles.

    Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.

    Linear Equations; Vector Spaces; Linear Transformations; Polynomials; Determinants; Elementary canonical Forms; Rational and Jordan Forms; Inner Product Spaces; Operators on Inner Product Spaces; Bilinear Forms For all readers interested in linear algebra.

    The world's foremost expert on the English language takes us on an entertaining and eye-opening tour of the history of our vernacular through the ages.In this entertaining history of the world's most ubiquitous language, David Crystal draws on one hundred words that best illustrate the huge variety of sources, influences and events that have helped to shape our vernacular since the first definitively English word — ‘roe’ — was written down on the femur of a roe deer in the fifth century.Featuring ancient words ('loaf'), cutting edge terms that reflect our world ('twittersphere'), indispensable words that shape our tongue ('and', 'what'), fanciful words ('fopdoodle') and even obscene expressions (the "c word"...), David Crystal takes readers on a tour of the winding byways of our language via the rude, the obscure and the downright surprising.

    Sega, on the other hand, was just a faltering arcade company with big aspirations and even bigger personalities. But that would all change with the arrival of Tom Kalinske, a man who knew nothing about videogames and everything about fighting uphill battles. His unconventional tactics, combined with the blood, sweat and bold ideas of his renegade employees, transformed Sega and eventually led to a ruthless David-and-Goliath showdown with rival Nintendo.The battle was vicious, relentless, and highly profitable, eventually sparking a global corporate war that would be fought on several fronts: from living rooms and schoolyards to boardrooms and Congress. It was a once-in-a-lifetime, no-holds-barred conflict that pitted brother against brother, kid against adult, Sonic against Mario, and the US against Japan.Based on over two hundred interviews with former Sega and Nintendo employees, Console Wars is the underdog tale of how Kalinske miraculously turned an industry punchline into a market leader. It's the story of how a humble family man, with an extraordinary imagination and a gift for turning problems into competitive advantages, inspired a team of underdogs to slay a giant and, as a result, birth a $60 billion dollar industry.