What if everything in life could be reduced to a simple formula? What if numbers were able to tell us which partners we were best matched with – not just in terms of attractiveness, but for a long-term committed marriage? Or if they could say which films would be the biggest hits at the box office, and what changes could be made to those films to make them even more successful? Or even who out of us is likely to commit certain crimes, and when? This may sound like the world of science-fiction, but in fact it is just the tip of the iceberg in a world that is increasingly ruled by complex algorithms and neural networks.In The Formula, Luke Dormehl takes you inside the world of numbers, asking how we came to believe in the all-conquering power of algorithms; introducing the mathematicians, artificial intelligence experts and Silicon Valley entrepreneurs who are shaping this brave new world, and ultimately asking how we survive in an era where numbers can sometimes seem to create as many problems as they solve.

    

    Since James Sieckmann first revealed his short-game methods two decades ago, he has amassed a cultlike following of more than seventy PGA and LPGA Tour disciples and has been dubbed the “short-game guru to the pros” (GOLF Magazine). Using his system, sev­eral of Sieckmann’s students have become some of the best short-game players of the modern era. A two-time winner on the PGA Tour jumped 117 spots in the Sand Save rankings in one season; another client quickly jumped 81 spots in Scrambling percentage.The benefits of a good short game are undisputed. Unfortunately, players at all levels fail to develop effective short-game skills because instructors teach the exact opposite of the correct technique. Sieckmann studied the greatest short-game players in recent memory—including Seve Ballesteros, Corey Pavin, and Raymond Floyd—to develop a proven and pragmatic way to learn, practice, and perform with each wedge in every situation. His unique observations, which were later verified by motion capture technology, work equally well for amateurs and pros.In his long-awaited first book, Sieckmann opens up his vault of secrets for all golfers. After breaking down the basics, he presents a session-by-session training and practice guide—the same one he creates for his tour clients—to help the reader develop and sustain correct habits, avoid common flaws, and master essential skills. Next, Sieckmann explains how to optimize a player’s wedge swing for every scenario. An easy-to-learn and easy-to-use system, Your Short Game Solution will be the go-to guide anywhere golf is played.

    From teaching you the basics to exploring the stages of the cycle of photography, Silber makes it easy for you to master the art form and create stunning pictures.Valuable photography tips from thousands of hours of interviews with professional photography masters: "What makes this book so powerful is that I have been able to distill from my 1,000s of hours of interviews with top photographers high level knowledge, that would take decades to acquire ― but I have presented this knowledge in a way that even a new photographer can grasp and put right to work. If someone applies themselves and rolls up their sleeves, with this handbook, they can become an excellent photographer and make photographs that they and others will love." You will learn valuable insights from the professional photography masters: • beginner photography tips • amateur photography tips • landscape photography tips • wedding photography tips • lifestyle photography tips • sports photography tips • animal photography tips • portrait photography tips • still life photography tips • iPhone photography tips Photography and the technology associated with it is constantly evolving, but the fundamentals remain the same. Advancing Your Photography will help to bring you the joy and satisfaction of a lifetime of pursuing the art of photography.Advancing Your Photography features: • Top tips for making outstanding photographs from iconic photographers and many other leading professional photography masters of today. • Numerous step-by-step examples • Guidance on training your eye to see composition with emotional impact • Tips on mastering the key points of operating your camera like a pro • Secrets to processing your images to professional standards • Compact design that will easily fit in your camera bag

    Visit the Jewish Museum, the Reichstag Parliament Building, the New Synagogue, or the Kaiser Wilhelm Memorial Church—you'll get tips on all the best tours and least-crowded visiting hours. Rick offers his firsthand advice on the best sights, eating, sleeping, and nightlife, and the maps and self-guided tours will ensure you make the most of your experience. More than just reviews and directions, a Rick Steves Snapshot guide is a tour guide in your pocket.Rick Steves Snapshot guides consist of excerpted chapters from Rick Steves’ European country guidebooks. Snapshot guides are a great choice for travelers visiting a specific city or region, rather than multiple European destinations. These slim guides offer all of Rick’s up-to-date advice on what sights are worth your time and money. They include good-value hotel and restaurant recommendations, with no introductory information (such as overall trip planning, when to go, and travel practicalities).

    In his personal, intimate, engaging, humorous style, Altrogge takes us on a journey through God's word, bringing us into close contact with the God of sharp edges and brilliant light. Altrogge introduces afresh to the untamable God of the Bible.

    Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.

    In this Very Short Introduction, Peter M. Higgins, a renowned popular-science writer, unravels the world of numbers, demonstrating its richness and providing an overview of all the number types that feature in modern science and mathematics. Indeed, Higgins paints a crystal-clear picture of the number world, showing how the modern number system matured over many centuries, and introducing key concepts such as integers, fractions, real and imaginary numbers, and complex numbers. Higgins sheds light on such fascinating topics as the series of primes, describing how primes are now used to encrypt confidential data on the internet. He also explores the infinite nature of number collections and explains how the so-called real numbers knit together to form the continuum of the number line. Written in the fashion of Higgins' highly popular science paperbacks, Numbers accurately explains the nature of numbers and how so-called complex numbers and number systems are used in calculations that arise in real problems.

    

    R is one of the most powerful and flexible statistical software packages available, and enables the user to apply a wide variety of statistical methods ranging from simple regression to generalized linear modelling. Statistics: An Introduction using R is a clear and concise introductory textbook to statistical analysis using this powerful and free software, and follows on from the success of the author's previous best-selling title Statistical Computing. * Features step-by-step instructions that assume no mathematics, statistics or programming background, helping the non-statistician to fully understand the methodology. * Uses a series of realistic examples, developing step-wise from the simplest cases, with the emphasis on checking the assumptions (e.g. constancy of variance and normality of errors) and the adequacy of the model chosen to fit the data. * The emphasis throughout is on estimation of effect sizes and confidence intervals, rather than on hypothesis testing. * Covers the full range of statistical techniques likely to be need to analyse the data from research projects, including elementary material like t-tests and chi-squared tests, intermediate methods like regression and analysis of variance, and more advanced techniques like generalized linear modelling. * Includes numerous worked examples and exercises within each chapter. * Accompanied by a website featuring worked examples, data sets, exercises and solutions: http: //www.imperial.ac.uk/bio/research/crawl... Statistics: An Introduction using R is the first text to offer such a concise introduction to a broad array of statistical methods, at a level that is elementary enough to appeal to a broad range of disciplines. It is primarily aimed at undergraduate students in medicine, engineering, economics and biology - but will also appeal to postgraduates who have not previously covered this area, or wish to switch to using R.

    Using playing cards, a newspaper, the back of an envelope, a Sudoku, some pennies and of course a pair of socks, Rob Eastaway shows how maths can demonstrate its secret beauties in even the most mundane of everyday objects. Among the many fascinating curiosities in these pages, you will discover the strange link between limericks and rabbits, an apparently 'fair' coin game where the odds are massively in your favour, why tourist boards can't agree on where the centre of Britain is, and how simple paper folding can lead to a Jurassic Park monster. With plenty of ideas you'll want to test out for yourself, this engaging and refreshing look at mathematics is for everyone.

    He turns out to be a bird who discusses maths with anyone who will listen. So when Mr Ruche learns of his friend's mysterious death in the rainforests of Brazil he decides that with the parrot's help he will use these books to teach Max and his twin brother and sister the mysteries and wonders of numbers and shapes.But soon it becomes clear that Mr Ruche has inherited the library for reasons other than pure enlightenment, and before he knows it the household are caught up in a race to prevent the vital theorems falling into the wrong hands.Charming, fresh, with a narrative which races along, the novel takes the reader on a delightful journey through the history of mathematics.

    Boatwright, Daniel J. Gargola, and Richard J.A. Talbert.This shorter version lucidly unfolds Rome's remarkable evolution through monarchy, republic, and then an empire that, at its height, stretched from Scotland to Iraq and the Nile Valley. Concise narrative integrates the political, military, social, and cultural landmarks of over 1,500 years--from the early struggles against Etruscans, Samnites, and Gauls to the sack of Rome by Alaric and his Visigoths. The book gives readers a basic yet engaging introduction to Roman history and society. It is an ideal text for courses on Ancient civilization, Roman civilization, or Roman history.FEATURES* Fourteen boxes featuring excerpts from writings by Romans themselves* Extensive variety of photos and illustrations, all with detailed captions; twenty-four custom-drawn maps of the city of Rome, Italy, the Mediterranean, and the wider Roman world* Narrative enlivened by such fascinating individuals as Hannibal, Mithridates, Pompey, Caesar, Cleopatra, Augustus, Livia, Nero, Trajan, Shapur, and Constantine* Selective, up-to-date recommendations for further reading; timeline of key events; glossary of Latin terms

    Contains complete worked solutions to all regular exercises and computer exercises in the text; additional test questions and their solutions; an online laboratory manual for the computer algebra system GAP, with exercises tied to the book and an instructor answer key; and links on the author's website to true/false questions, flash cards, essays, software downloads, and other abstract algebra-related materials.

    This book offers a full range of exercises, a precise and conceptual presentation, and a new media package designed specifically to meet the needs of today's readers. The exercises gradually increase in difficulty, helping readers learn to generalize and apply the concepts. The refined table of contents introduces the exponential, logarithmic, and trigonometric functions in Chapter 7 of the text.KEY TOPICS Functions, Limits and Continuity, Differentiation, Applications of Derivatives, Integration, Applications of Definite Integrals, Integrals and Transcendental Functions, Techniques of Integration, Further Applications of Integration, Conic Sections and Polar Coordinates, Infinite Sequences and Series, Vectors and the Geometry of Space, Vector-Valued Functions and Motion in Space, Partial Derivatives, Multiple Integrals, Integration in Vector Fields.MARKET For all readers interested in Calculus.