Haskell emerged in the last decade as a standard for lazy functional programming, a programming style where arguments are evaluated only when the value is actually needed. Haskell is a marvellous demonstration tool for logic and maths because its functional character allows implementations to remain very close to the concepts that get implemented, while the laziness permits smooth handling of infinite data structures.This book does not assume the reader to have previous experience with either programming or construction of formal proofs, but acquaintance with mathematical notation, at the level of secondary school mathematics is presumed. Everything one needs to know about mathematical reasoning or programming is explained as we go along. After proper digestion of the material in this book the reader will be able to write interesting programs, reason about their correctness, and document them in a clear fashion. The reader will also have learned how to set up mathematical proofs in a structured way, and how to read and digest mathematical proofs written by others.

    For centuries, the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. Zero follows this number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe and its apotheosis as the mystery of the black hole. Today, zero lies at the heart of one of the biggest scientific controversies of all time, the quest for the theory of everything. Elegant, witty, and enlightening, Zero is a compelling look at the strangest number in the universe and one of the greatest paradoxes of human thought.

    Many people regard mathematicians as a race apart, possessed of almost supernatural powers. While this is very flattering for successful mathematicians, it is very bad for those who, for one reason or another, are attempting to learn the subject.'W.W. Sawyer's deep understanding of how we learn and his lively, practical approach have made this an ideal introduction to mathematics for generations of readers. By starting at the level of simple arithmetic and algebra and then proceeding step by step through graphs, logarithms and trigonometry to calculus and the dizzying world of imaginary numbers, the book takes the mystery out of maths. Throughout, Sawyer reveals how theory is subordinate to the real-life applications of mathematics - the Pyramids were built on Euclidean principles three thousand years before Euclid formulated them - and celebrates the sheer intellectual stimulus of mathematics at its best.

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    Check out the weird and wonderful facts in this massive encyclopedia of alphabetized oddities:* HUMANS ARE THE ONLY ANIMALS THAT ENJOY SPICY FOOD (there’s a reason no one sells Tabasco-flavored cat food)* NAPPING CAN SAVE YOU FROM A HEART ATTACK (assuming you are not operating heavy machinery at the time)* PSYCHOLOGISTS CAN ASSESS YOUR PERSONALITY FROM HOW YOU DIP FRIES IN KETCHUP (nice fries, sociopath)* SURFING THE INTERNET ACTUALLY MAKES YOU SMARTER (but not as smart as reading this book will)Now the next time someone tells you smugly that Pluto isn’t a planet,you can counter with any one of these hundreds of weird facts and remain king or queen of the cocktail (or kegger) chatter.

    Each self-contained chapter consists of three sections. The first describes the statistic, including how it is used and what information it provides. The second section reviews how it works, how to calculate the formula, the strengths and weaknesses of the technique, and the conditions needed for its use. The final section provides examples that use and interpret the statistic. A glossary of terms and symbols is also included.New features in the second edition include:an interactive CD with PowerPoint presentations and problems for each chapter including an overview of the problem's solution; new chapters on basic research concepts including sampling, definitions of different types of variables, and basic research designs and one on nonparametric statistics; more graphs and more precise descriptions of each statistic; and a discussion of confidence intervals.This brief paperback is an ideal supplement for statistics, research methods, courses that use statistics, or as a reference tool to refresh one's memory about key concepts. The actual research examples are from psychology, education, and other social and behavioral sciences.Materials formerly available with this book on CD-ROM are now available for download from our website www.psypress.com. Go to the book's page and look for the 'Download' link in the right-hand column.

    Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

    More than 35,000 entries. Pronunciations provided for all entries. Covers brand names and generic equivalents of common drugs.

    By the mid-1990s the old school grizzled traders had been replaced by a new breed of quantitative analysts, applying mathematics to the "art" of trading and making of it a science. A similar phenomenon is happening in poker. The grizzled "road gamblers" are being replaced by a new generation of players who have challenged many of the assumptions that underlie traditional approaches to the game. One of the most important features of this new approach is a reliance on quantitative analysis and the application of mathematics to the game. This book provides an introduction to quantitative techniques as applied to poker and to a branch of mathematics that is particularly applicable to poker, game theory, in a manner that makes seemingly difficult topics accessible to players without a strong mathematical background.

    From the early Greek influences to the Middle Ages and the Renaissance to the end of the 19th century, trace the fascinating foundation of mathematics as it developed through the ages. Aristotle, Galileo, Kepler, Newton: you know the names. Now here's what they really did, and the effect their discoveries had on our culture, all explained in a way the layperson can understand. Begin with the basis of arithmetic (Plato and the introduction of geometry), and discover why the use of Arabic numerals was critical to the development of both commerce and science. The development of calculus made space travel a reality, while the abacus prefigured the computer. The greats examined in depth include Leonardo da Vinci, a brilliant mathematician as well as artist; Pascal, who laid out the theory of probabilities; and Fermat, whose intriguing theory has only recently been solved.

    Einstein himself said it was “the most valuable theory of my life,” and “of incomparable beauty.” It describes the evolution of the universe, black holes, the behavior of orbiting neutron stars, and why clocks run slower on the surface of the earth than in space. It even suggests the possibility of time travel.And yet when we think of Einstein's breakthrough year, we think instead of 1905, the year of Einstein's Special Theory of Relativity and his equation E=mc2, as his annus mirabilis, even though the Special Theory has a narrower focus.Today the General Theory is overshadowed by these achievements, regarded as 'too difficult' for ordinary mortals to comprehend. In Einstein's Masterwork, John Gribbin puts Einstein's astonishing breakthrough in the context of his life and work, and makes it clear why his greatest year was indeed 1915 and his General Theory his true masterpiece.

    Starting with Ptolemy, "father of modern geography," and ending with satellite cartography, A History of the World in 12 Maps brings maps from classical Greece, Renaissance Europe, and the Islamic and Buddhist worlds to life and reveals their influence on how we—literally—look at our present world. As Brotton shows, the long road to our present geographical reality was rife with controversy, manipulation, and special interests trumping science. Through the centuries maps have been wielded to promote any number of imperial, religious, and economic agendas, and have represented the idiosyncratic and uneasy fusion of science and subjectivity. Brotton also conjures the worlds that produced these notable works of cartography and tells the stories of those who created, used, and misused them for their own ends.

    In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems.Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory.Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples. Exercises provide opportunities for constructing numerical tables with or without a computer. Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated..

    It’s a choose-your-own-adventure guide to the world of rapid learning.#1 New York Times bestselling author (and lifelong non-cook) Tim Ferriss takes you from Manhattan to Okinawa, and from Silicon Valley to Calcutta, unearthing the secrets of the world’s fastest learners and greatest chefs. Ferriss uses cooking to explain “meta-learning,” a step-by-step process that can be used to master anything, whether searing steak or shooting 3-pointers in basketball. That is the real “recipe” of The 4-Hour Chef.You'll train inside the kitchen for everything outside the kitchen. Featuring tips and tricks from chess prodigies, world-renowned chefs, pro athletes, master sommeliers, super models, and everyone in between, this “cookbook for people who don’t buy cookbooks” is a guide to mastering cooking and life.The 4-Hour Chef is a five-stop journey through the art and science of learning:1. META-LEARNING. Before you learn to cook, you must learn to learn. META charts the path to doubling your learning potential.2. THE DOMESTIC. DOM is where you learn the building blocks of cooking. These are the ABCs (techniques) that can take you from Dr, Seuss to Shakespeare.3. THE WILD. Becoming a master student requires self-sufficiency in all things. WILD teaches you to hunt, forage, and survive.4. THE SCIENTIST. SCI is the mad scientist and modernist painter wrapped into one. This is where you rediscover whimsy and wonder.5. THE PROFESSIONAL. Swaraj, a term usually associated with Mahatma Gandhi, can be translated as “self-rule.” In PRO, we’ll look at how the best in the world become the best in the world, and how you can chart your own path far beyond this book.

    Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.