But from the perspective of mathematics, groupings of ten are arbitrary, and can have serious shortcomings. Twelve would be better for divisibility, and eight is smaller and well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages.Paul Lockhart reveals arithmetic not as the rote manipulation of numbers--a practical if mundane branch of knowledge best suited for balancing a checkbook or filling out tax forms--but as a set of ideas that exhibit the fascinating and sometimes surprising behaviors usually reserved for higher branches of mathematics. The essence of arithmetic is the skillful arrangement of numerical information for ease of communication and comparison, an elegant intellectual craft that arises from our desire to count, add to, take away from, divide up, and multiply quantities of important things. Over centuries, humans devised a variety of strategies for representing and using numerical information, from beads and tally marks to adding machines and computers. Lockhart explores the philosophical and aesthetic nature of counting and of different number systems, both Western and non-Western, weighing the pluses and minuses of each.A passionate, entertaining survey of foundational ideas and methods, Arithmetic invites readers to experience the profound and simple beauty of its subject through the eyes of a modern research mathematician.

    If your job requires you to manage and analyze all kinds of data, turn to Head First Data Analysis, where you'll quickly learn how to collect and organize data, sort the distractions from the truth, find meaningful patterns, draw conclusions, predict the future, and present your findings to others. Whether you're a product developer researching the market viability of a new product or service, a marketing manager gauging or predicting the effectiveness of a campaign, a salesperson who needs data to support product presentations, or a lone entrepreneur responsible for all of these data-intensive functions and more, the unique approach in Head First Data Analysis is by far the most efficient way to learn what you need to know to convert raw data into a vital business tool. You'll learn how to:Determine which data sources to use for collecting information Assess data quality and distinguish signal from noise Build basic data models to illuminate patterns, and assimilate new information into the models Cope with ambiguous information Design experiments to test hypotheses and draw conclusions Use segmentation to organize your data within discrete market groups Visualize data distributions to reveal new relationships and persuade others Predict the future with sampling and probability models Clean your data to make it useful Communicate the results of your analysis to your audience Using the latest research in cognitive science and learning theory to craft a multi-sensory learning experience, Head First Data Analysis uses a visually rich format designed for the way your brain works, not a text-heavy approach that puts you to sleep.

    This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

    And survival is never a given. Somehow, a blind, defenseless tiger kitten must evolve into a deadly, efficient predator; a chimp must learn to distinguish edible plants from lethal poisons; a baby buffalo must be able to pick its mother out of a herd of hundreds. Contrary to common belief, not everything is "hardwired" -- or instinctual -- in the animal kingdom. Many skills a wild animal needs to thrive, to grow, to be what nature intended, must be developed through play, painstaking teaching, and often treacherous trial and error. The coming-of-age processes of the myriad creatures of plain, forest, ocean, and jungle are truly fascinating and often astonishing natural events.In Becoming a Tiger, Susan McCarthy, co-author of the critically acclaimed New York Times bestseller When Elephants Weep, offers readers an in-depth look into the amazing ways baby animals learn not only about themselves, but about their world and ours -- and how to survive in both. Based on extensive scientific research done in the lab, in controlled "natural" settings, as well as in the wild, her findings provide stunning new insights into the lives and development of Earth's nonhuman inhabitants -- not only tigers, but lions, bears, bats, rats, birds, dolphins, whales, apes, elephants, and dozens of other species.Sharing stories and discoveries at once captivating, funny, breathtaking, provocative, and heartwarming, Susan McCarthy carries us on a remarkable journey into untamed places, immersing us in the fascinating, complex, and hitherto unimagined societies and cultures of the beasts and birds. Along the way she shines a brilliant new light on subjects scientists, biologists, and zoologists have only begun to explore, revealing startling truths about the behavior, and sometimes humanlike foibles, of creatures great and small.Warm, informative, and beautifully written, Becoming a Tiger is an enthralling reading experience for animal lovers everywhere. In the transformation tales of playful pups, big-footed cubs, and scrawny chicks becoming deadly hunters, able foragers, and deft nest-builders are valuable and enriching life lessons for members of our own inquisitive, ever-developing species.

    Covering Sid's early years in South Africa and life as a ladies' hairdresser, his obsession with gambling and women, his questioning by Scotland Yard in a murder case, Hancock's Half Hour and the Carry On films, and Sid's death on stage at the age of 63, Cliff Goodwin reveals the amazing truth behing the legend.

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

    It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

    D. Williams wrote this entertaining, witty introduction for the nonscientist, game theory was still a somewhat mysterious subject familiar to very few scientists beyond those researchers, like himself, working for the military. Now, over thirty years after its original publication as a Rand Corporation research study, his light-hearted though thoroughly effective primer is the recognized classic introduction to an increasingly applicable discipline. Used by amateurs, professionals, and students throughout the world in the classroom, on the job, and for personal amusement, the book has been through ten printings, and has been translated into at least five languages (including Russian and Japanese).Revised, updated, and available for the first time in an inexpensive paperback edition, The Compleat Strategyst is a highly entertaining text essential for anyone interested in this provocative and engaging area of modern mathematics. In fully illustrated chapters complete with everyday examples and word problems, Williams offers readers a working understanding of the possible methods for selecting strategies in a variety of situations, simple to complex. With just a basic understanding of arithmetic, anyone can grasp all necessary aspects of two-, three-, four-, and larger strategy games with two or more sets of inimical interests and a limitless array of zero-sum payoffs.As research and study continues not only in this new discipline but in the related areas of statistics, probability and behavioral science, understanding of games, decision making, and the development of strategies will be increasingly important. In the areas of economics, sociology, politics, and the military, game theory is sure to have an even wider impact. For students and amateurs fascinated by game theory's implications there is no better, immediately applicable, or more entertaining introduction to the subject than this engaging text by the late J. D. Williams, Professor of Mathematics at Princeton University and a member of the Research Council of The Rand Corporation.

    Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.

    It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.

    Features exceptionally clear explanations and descriptions, step-by-step examples, more than 50 practical applications, over 2000 easy-to-challenging practice problems, and comprehensive coverage of essentials. PSpice, OrCAd version 9.2 Lite Edition, Multisims 2001 version of Electronics Workbench, and MathCad software references and examples are used throughout. Computer programs (C++, BASIC and PSpice) are printed in color, as they run, at the point in the book where they are discussed. Current and Voltage. Resistance. Ohm's Law, Power, and Energy. Series Circuits. Parallel Circuits. Series-Parallel Networks. Methods of Analysis & Selected Topics. Network Theorems. Capacitors. Magnetic Circuits. Inductors. Sinusodial Alternating Waveforms. The Basic Elements and Phasors. Series and Parallel ac Circuits. Series-Parallel ac Networks. Methods of Analysis and Related Topics. Network Theorems (ac). Power (ac). Resonance. Transformers. Polyphase Systems. Decibels, Filters, and Bode Points. Pulse Waveforms and the R-C Response. Nonsinusodial Circuits. System Analysis: An Introduction. For those working in electronic technology.

    Full of advice on how surgeons should use their heads as well as their hands - how to think, plan, and improvise - when, for example, operating on a massively bleeding trauma patient. Starts with general principles, continues with specific injuries to abdomen, chest, neck, and peripheral vessels. Generously illustrated throughout, with drawings produced specifically for this book. For residents, general surgeons with an interest in trauma, and for surgeons operating on badly wounded patients in isolated military, rural, or humanitarian settings. Asher Hirshberg and Kenneth L Mattox are trauma surgeons at the Ben Taub General Hospital, Houston, and professors at the Michael E DeBakey Department of Surgery, Baylor College of Medicine, Houston, USA. Kenneth L Maddox is famous as the lead editor of McGraw Hill's classic text, Trauma, now in its fifth edition. This is going to be a GREAT book!

    Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

    But new technology using concentrated sunlight to provide intense heat energy that can be effectively stored overcomes this problem, providing clean renewable power around the clock. Further, the large amounts of power produced can be used to tackle the issue of feeding the world’s growing population—by enabling energy-intense methods of purifying polluted land for agricultural production.Drawing carbon out of the atmosphere is an essential component in limiting climate change. Flannery explores the potential of kelp, a fast-growing sea algae, to be used on a large scale to convert carbon from the air to a non-gaseous form, reducing levels of atmospheric carbon.With accessible and engaging explanations of the fascinating science behind these technologies, as well as accounts of the systems already in operation around the world, Sunlight and Seaweed is an enlightening and uplifting view of the future.

    Lang, one of the worlds foremost origami artists and scientists, presents the never-before-described mathematical and geometric principles that allow anyone to design original origami, something once restricted to an elite few. From the theoretical underpinnings to detailed step-by-step folding sequences, this book takes a modern look at the centuries-old art of origami.