We have Mindstorms to thank for that. In this book, pioneering computer scientist Seymour Papert uses the invention of LOGO, the first child-friendly programming language, to make the case for the value of teaching children with computers. Papert argues that children are more than capable of mastering computers, and that teaching computational processes like de-bugging in the classroom can change the way we learn everything else. He also shows that schools saturated with technology can actually improve socialization and interaction among students and between students and teachers.

    In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few.Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.

    In this Very Short Introduction, Kenneth Falconer explains the basic concepts of fractal geometry, which produced a revolution in our mathematical understanding of patterns in the twentieth century, and explores the wide range of applications in science, and in aspects of economics.About the Series: Oxford's Very Short Introductions series offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, Literary Theory to History, and Archaeology to the Bible. Not simply a textbook of definitions, each volume in this series provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given discipline or field. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how the subject has developed and how it has influenced society. Eventually, the series will encompass every major academic discipline, offering all students an accessible and abundant reference library. Whatever the area of study that one deems important or appealing, whatever the topic that fascinates the general reader, the Very Short Introductions series has a handy and affordable guide that will likely prove indispensable.

    His beautiful, insightful work is all around us--on movie posters, in advertising, on magazine covers, everywhere. “I delight in inspiring people,” he writes. “I want them to stop, think, and feel.” Now Grecco shares the secrets of great portraits with photographers at every level, in Lighting and the Dramatic Portrait. Sections on cameras, illumination, film and digital, creativity and conceptualization, connecting with the subject, and having a point of view, plus intriguing case studies that show “how I got that picture,” make this book a resource photographers will use again and again through the years. Whether the subject is a star or a soccer mom, Grecco shows how to add artistry, drama, wit, humor, and personality to their portrait.

    These topics lie at the heart of many exciting areas of contemporary science and engineering - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics, and cryptography. This textbook introduces theory in tandem with applications. Information theory is taught alongside practical communication systems, such as arithmetic coding for data compression and sparse-graph codes for error-correction. A toolbox of inference techniques, including message-passing algorithms, Monte Carlo methods, and variational approximations, are developed alongside applications of these tools to clustering, convolutional codes, independent component analysis, and neural networks. The final part of the book describes the state of the art in error-correcting codes, including low-density parity-check codes, turbo codes, and digital fountain codes -- the twenty-first century standards for satellite communications, disk drives, and data broadcast. Richly illustrated, filled with worked examples and over 400 exercises, some with detailed solutions, David MacKay's groundbreaking book is ideal for self-learning and for undergraduate or graduate courses. Interludes on crosswords, evolution, and sex provide entertainment along the way. In sum, this is a textbook on information, communication, and coding for a new generation of students, and an unparalleled entry point into these subjects for professionals in areas as diverse as computational biology, financial engineering, and machine learning.

    Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives—from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century.Many of the greatest names in intellectual history—Pythagoras, Plato, Archimedes, Euclid— were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions—his famed Coxeter groups and Coxeter diagrams—have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational.Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.

    Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.

    Sacred Geometry offers an accessible way of understanding how that connection is revealed in nature and the arts. Over the centuries, temple builders have relied on magic numbers to shape sacred spaces, astronomers have used geometry to calculate holy seasons, and philosophers have observed the harmony of the universe in the numerical properties of music. By showing how the discoveries of mathematics are manifested over and over again in biology and physics, and how they have inspired the greatest works of art, this illuminating study reveals the universal principles that link us to the infinite.

    In Encaustic Workshop, it becomes much more: a dynamic medium where anything goes and the possibilities are endless.Packed with step-by-step techniques, helpful tips and diverse examples of completed works, Encaustic Workshop brings all the accessibility and excitement of a mixed-media workshop to your own workspace. If you're a beginner, you'll find everything you need to know to get started. If you're a more advanced crafter or fine artist, you'll discover things you never knew you could do with encaustic.Instructions and photos will guide you as you learn to:Apply, layer, color and carve wax to create artwork rich with texture and depth.Create collages that combine encaustic with papers, fabric, found objects, image transfers and more.Experiment with charcoal, inks, watercolors, pastels and other mediums to create unexpected effects in the wax.Then, complete step-by-step projects and an extensive inspirational gallery will show you how you can combine the techniques you've learned to create more complex works.Sign your creativity up for this Encaustic Workshop--then just melt, paint and play!

    Even the simplest numbers can become powerful forces when manipulated by politicians or the media, but in the case of the law, your liberty -- and your life -- can depend on the right calculation. In Math on Trial, mathematicians Leila Schneps and Coralie Colmez describe ten trials spanning from the nineteenth century to today, in which mathematical arguments were used -- and disastrously misused -- as evidence. They tell the stories of Sally Clark, who was accused of murdering her children by a doctor with a faulty sense of calculation; of nineteenth-century tycoon Hetty Green, whose dispute over her aunt's will became a signal case in the forensic use of mathematics; and of the case of Amanda Knox, in which a judge's misunderstanding of probability led him to discount critical evidence -- which might have kept her in jail. Offering a fresh angle on cases from the nineteenth-century Dreyfus affair to the murder trial of Dutch nurse Lucia de Berk, Schneps and Colmez show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. A colorful narrative of mathematical abuse, Math on Trial blends courtroom drama, history, and math to show that legal expertise isn't't always enough to prove a person innocent.

    This long-awaited revision contains changes throughout the text. There are new implementations of most of the major programming systems in the book, including the interpreters and compilers, and the authors have incorporated many small changes that reflect their experience teaching the course at MIT since the first edition was published. A new theme has been introduced that emphasizes the central role played by different approaches to dealing with time in computational models: objects with state, concurrent programming, functional programming and lazy evaluation, and nondeterministic programming. There are new example sections on higher-order procedures in graphics and on applications of stream processing in numerical programming, and many new exercises. In addition, all the programs have been reworked to run in any Scheme implementation that adheres to the IEEE standard.

    It encourages you to explore every discipline and experiment with different approaches, hone your skills, and find your own personal style.There are two key features that make the book unique. The first is the structure. Almost invariably, photography books parcel up information in such a way that the technical elements of photography are dealt with separately from creative ideas, which in turn are dealt with separately from projects and genres. The Complete Photographer takes a completely different, holistic approach, with insights, ideas, tips, and techniques that focus specifically on each genre.The second unique feature is the "behind-the-scenes" coverage. Where Masterclass showcased the work of a number of professional photographers working in a variety of fields, The Complete Photographer goes further. It shows in step-by-step, photographic detail the planning, setting up, and shooting of 20 superb images taken especially for the book. In a running commentary, each photographer reveals the ideas and inspiration behind the shot, how decisions on location, lighting, camera angle, and props are arrived at, and, where relevant, demonstrates any image manipulation that has been carried out to produce the final image. Galleries of selected works are accompanied by notes on each image and how it was made.As with Digital Photography Masterclass, Tom's tutorials are presented in a highly visual, logical way that makes concepts easy to grasp. Images are grouped together to reveal how different approaches to the same subject can produce dramatically different results. Individual images are analyzed to show why they are successful, and how specific effects are achieved. Side-by-side comparisons highlight common problems and show how to avoid them. Each tutorial includes an assignment that encourages the reader to experiment, think outside the box, and practice new skills.The Complete Photographer will provide inspiration and be a beautiful book to look at, as well as delivering engaging, hardworking content that unlocks the secrets of success for the reader and provides a fascinating insight into the techniques of the professionals.The ContentsPrelims (7pp)general Introduction (2pp)1. Portraits (38pp)Formal and candid, in the studio and outdoors, individuals and groups, children and pets.Tom's tutorial (8pp)Image analysis (4pp)Assignment (4pp)Behind-the-scenes with... (12pp)Gallery (8pp)2. Landscape and nature (38pp)Different times of day and weather conditions. From breathtaking vistas to close-ups.Tom's tutorial (8pp)Image analysis (4pp)Assignment (4pp)Behind-the-scenes with... (12pp)Gallery (8pp)3. Fashion and street (38pp)Studio set-ups, on location, props and styling. Capturing moments on the city streets.Tom's tutorial (8pp)Image analysis (4pp)Assignment (4pp)Behind-the-scenes with... (12pp)Gallery (8pp)4. Wildlife (38pp)On safari and close to home, in the wild and in captivity, up close and in the environment.Tom's tutorial (8pp)Image analysis (4pp)Assignment (4pp)Behind-the-scenes with... (12pp)Gallery (8pp)5. Sport (38pp)Key moments, capturing action, the spirit and emotion of the sport.Tom's tutorial (8pp)Image analysis (4pp)Assignment (4pp)Behind-the-scenes with... (12pp)Gallery (8pp)6. Documentary (38pp)Finding and telling a story, observation,capturing decisive moments.Tom's tutorial (8pp)Image analysis (4pp)Assignment (4pp)Behind-the-scenes with... (12pp)Gallery (8pp)7. Events (38pp)Live music, graduation, wedding, new baby etc.Tom's tutorial (8pp)Image analysis (4pp)Assignment (4pp)Behind-the-scenes with... (12pp)Gallery (8pp)8. Travel (38pp)Spirit of place, capturing atmosphere, people. Cultural and social considerations.Tom's tutorial (8pp)Image analysis (4pp)Assignment (4pp)Behind-the-scenes with... (12pp)Gallery (8pp)9. Architecture (38pp)Ancient and modern, interior and exterior.Light and angles, details and wide views.Tom's tutorial (8pp)Image analysis (4pp)Assignment (4pp)Behind-the-scenes with... (12pp)Gallery (8pp)10. Fine art (38pp)Color and black and white, fine-art printing.Still life, abstracts, nudes, stock photography etc.Tom's tutorial (8pp)Image analysis (4pp)Assignment (4pp)Behind-the-scenes with... (12pp)Gallery (8pp)Index/Acknowledgments (11pp)

    Theoretical, yet applied. Statistics for Business and Economics, Eleventh Edition, gives you the best of both worlds. Using a rich array of applications from a variety of industries, McClave/Sincich/Benson clearly demonstrates how to use statistics effectively in a business environment.The book focuses on developing statistical thinking so the reader can better assess the credibility and value of inferences made from data. As consumers and future producers of statistical inferences, readers are introduced to a wide variety of data collection and analysis techniques to help them evaluate data and make informed business decisions. As with previous editions, this revision offers an abundance of applications with many new and updated exercises that draw on real business situations and recent economic events. The authors assume a background of basic algebra.

    A light-hearted and informative reminder of all the things that we learnt in school but have since become relegated to the backs of our minds, I Used to Know That features hundreds of important snippets of wisdom, facts, theories, equations, phrases, rules and sayings. A practical guide to turn to when an answer is eluding you, when helping a child with homework or preparing them for the new school year, or maybe just to brush up on trivia for the pub quiz. I Used to Know That covers English Language and Literature, Mathematics, Biology, Chemistry, Physics, History, Geography and General Studies, so never again will you find yourself stumped!

    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.