James' latest advancement in the world of statistical analysis is the next big stepping-stone in the "greatest players of all-time" debate. For as long as baseball has been played, fans have struggled to compare the legends of the game with today's stars. Win Shares by Decade is just one of the many sections you'll find inside to help you judge who ranks where among the pantheon of baseball greats.

    His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.

    Topics include: Trigonometric Identities & Equations, Circular Functions, and Polar Equations & Complex Numbers.

    As we dream with him, we are taken further and further into mathematical theory, where ideas eventually take flight, until everyone--from those who fumble over fractions to those who solve complex equations in their heads--winds up marveling at what numbers can do.Hans Magnus Enzensberger is a true polymath, the kind of superb intellectual who loves thinking and marshals all of his charm and wit to share his passions with the world. In The Number Devil, he brings together the surreal logic of Alice in Wonderland and the existential geometry of Flatland with the kind of math everyone would love, if only they had a number devil to teach them.

    This text provides a simple and straightforward introduction to econometrics for the beginner. The book is designed to help students understand econometric techniques through extensive examples, careful explanations, and a wide variety of problem material. In each of the editions, I have tried to incorporate major developments in the field in an intuitive and informative way without resort to matrix algebra, calculus, or statistics beyond the introductory level. The fourth edition continues that tradition.

    It covers areas such as fundamentals, logic, counting, relations and digraphs, trees, topics in graph theory, languages and finite-state machines, and groups and coding.

    It was studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. Geometry is number in space; music is number in time; and comology expresses number in space and time. Number, music, and geometry are metaphysical truths: life across the universe investigates them; they foreshadow the physical sciences.Quadrivium is the first volume to bring together these four subjects in many hundreds of years. Composed of six successful titles in the Wooden Books series-Sacred Geometry, Sacred Number, Harmonograph, The Elements of Music, Platonic & Archimedean Solids, and A Little Book of Coincidence-it makes ancient wisdom and its astonishing interconnectedness accessible to us today.Beautifully produced in six different colors of ink, Quadrivium will appeal to anyone interested in mathematics, music, astronomy, and how the universe works.

    

    It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.

    That’s the inspiring message of this New York Times Bestselling picture book biography series from historian and author Brad Meltzer.Even when he was a kid, Albert Einstein did things his own way. He thought in pictures instead of words, and his special way of thinking helped him understand big ideas like the structure of music and why a compass always points north. Those ideas made him want to keep figuring out the secrets of the universe. Other people thought he was just a dreamer, but because of his curiosity, Einstein grew up to be one of the greatest scientists the world has ever known. What makes a hero? This lively, fun biography series by best-selling author Brad Meltzer answers the question, one great role model at a time.

    Now brought back into print in this revised and updated edition, the book is written within the great tradition of Abbott's Flatland, and Hinton's famous Sphereland. Accessible, imaginative, and clever, it will appeal to a wide array of readers, from serious mathematicians and computer scientists, to science fiction fans.

    It emphasizes forms suitable for students and researchers whose interest lies in solving equations rather than in general theory. Solutions to odd-numbered problems appear at the end. 1957 edition.

    Do you have any idea what animal can paint a recognizable figure on a canvass using a paintbrush? Do you know of any animal that can teach themselves how to open canned food? How about those that can play computer games, solve math problems and logical puzzles just like humans…or even better than humans? The fun does not stop there.Any idea what animal has razor sharp memory that can recognize the meaning of a word or a face from years ago? And of course there is the animal that communicates by singing lengthy songs. If another animal of the same species hears the song, it will repeat the exact same song as a response! And speaking of songs, let’s not forget the animal who can sing lullabies while nursing her young. This Book Has Amazing Facts & Photos of 15 Incredibly Smart Animals. For centuries, understanding how animals act and think has always been a very intriguing topic for scientists. After all, though humans are branded to be the most intelligent species on the planet, it is undeniable that our fellow occupants in the animal kingdom have their own fascinating brainpower, instincts and unique survival tactics to boast. Just as humans have a unique way to communicate; other creatures have also forged special ways to understand each other and to respond to their environments. Scientists did countless laboratory experiments to capture not just their communicating abilities but also their feelings and emotions, learning processes, memory capacity, and their ability to use tools or even to pick up a foreign language.This book is fully illustrated and has simple blocks of text that will make learning fun for your child.The following animals are featured: Spiders Ants Sea Lions Crows Raccoons Horses Falcons Cats Squirrels Elephants Dogs Whales Dolphins Pigs Chimpanzees Yours kids can have fun while learning!Prepare to learn the most astonishing facts about how these animals stand out from the rest in terms of intelligence.This book is part of a series called, "Weird & Wonderful Animals" all of which are great for bedtime reading. Collect the series!

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.