Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations.This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.

    Right?! Machine Learning is a branch of computer science that wants to stop programming computers using a detailed list of commands to follow blindly. Instead, their aim is to implement high-level routines that teach computers how to approach new and unknown problems – these are called algorithms. In practice, they want to give computers the ability to Learn and to Adapt. We can use these algorithms to obtain insights, recognize patterns and make predictions from data, images, sounds or videos we have never seen before – or even knew existed. Unfortunately, the true power and applications of today’s Machine Learning Algorithms remain deeply misunderstood by most people. Through this book I want fix this confusion, I want to shed light on the most relevant Machine Learning Algorithms used in the industry. I will show you exactly how each algorithm works, why it works and when you should use it. Supervised Learning Algorithms K-Nearest Neighbour Naïve Bayes Regressions Unsupervised Learning Algorithms: Support Vector Machines Neural Networks Decision Trees

    Champagne drunk. My mouth was stretched in a smile so wide, that my jaw hurt. The sky had the colours of a bruise.' When Nick Johnstone got drunk for the first time at the age of fourteen he discovered a cure for the depression and anxiety that had been humming in his head since childhood. Over the next ten years he drank to overcome shyness, to make the world bearable, to get through the days and to get through the nights. He also began to cut himself and he began to lie. Intelligent, sensitive, from a loving family, neither he nor his countless doctors, psychiatrists, counsellors and therapists could understand where his disorders came from. Then, when he was twenty-four he was admitted into hospital. Stripped of his 'cure', Nick Johnstone painfully began the process of recovery. Although love proves to be the strongest 'cure' of all, this is a story with no tidy or happy endings. Honest and gripping, by turns stark and lyrical, "A Head Full of Blue" powerfully evokes the often unfathomable psychology and behaviour that drives addiction, examining self-harm as a coping mechanism rather than a taboo. It is an unusual, moving and thought-provoking memoir.

    Nor do you need to be a great scientist to appreciate the exciting discoveries and intriguing mysteries of our universe. Dr. Robert piccioni brings the excitement of modern scientific discoveries to general audiences. He makes the key facts and concepts understandable without "dumbing" them down. He presents them in a friendly, conversational manner and includes many personal anecdotes about the people behind the science. With 33 images and over 100 graphics, this book explains the real science behind the headlines and sound bites. Learn all about:our universe: how big? how old? what came before?the big bang, black holes and supernovaequantum mechanics and uncertaintyhow the immense and the minute are connectedwhat is special about general relativityhow mankind can become earth's best friend

    It might surprise you, though, to learn that the specific diets you?ve tried aren?t the problem. Would it surprise you further to learn that you definitely aren?t the problem either?The problem is not the weight loss plans and neither is it you. The problem is the science! The diets you?ve tried have failed you because they are based on old, outdated science. Science that has, in fact, been replaced, right under your nose, by an amazingly accurate and incredibly reliable one called quantum physics.Why Quantum Physicists Don?t Get Fat will teach you, in simple, everyday language, to unlock the awesome power of quantum physics to inject any weight loss plan with nitro-boosting rocket fuel. You?ll quickly find that the great-feeling, slender body you?ve dreamed of is just around the corner!

    D. Landau and his distinguished colleague G. B. Rumer, employ a simple and straightforward manner to illuminate relativity theory's more subtle and elusive aspects. Using such familiar objects as trains, rulers, and clocks, the authors explain the reasoning behind seemingly self-contradictory ideas in which the relative seems absolute, but the absolute proves to be relative. A series of playful cartoons highlights the authors' witty observations on the laws governing inertia, the speed of light, the relationship of work and mass, and other relativistic concepts."The exposition is masterful . . . a superb book." — New York Times Book Review.

    Every technology we rely on today was created by the human mind, seeking to understand the universe around us. Scientific knowledge is our most precious possession, and our future will be shaped by the breakthroughs to come. In this personal and fascinating work, Neil Turok, Director of the Perimeter Institute for Theoretical Physics, explores the transformative scientific discoveries of the past three centuries -- from classical mechanics, to the nature of light, to the bizarre world of the quantum, and the evolution of the cosmos. Each new discovery has, over time, yielded new technologies causing paradigm shifts in the organization of society. Now, he argues, we are on the cusp of another major transformation: the coming quantum revolution that will supplant our current, dissatisfying digital age. Facing this brave new world, Turok calls for creatively re-inventing the way advanced knowledge is developed and shared, and opening access to the vast, untapped pools of intellectual talent in the developing world. Scientific research, training, and outreach are vital to our future economy, as well as powerful forces for peaceful global progress.

    You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.

    joyfully shows you how to make nature's numbers dance."--Bill Nye (the science guy)The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples-from ice-cream scoops and poker hands to measuring mountains and making magic squares-this book revels in key mathematical fields including arithmetic, algebra, geometry, and calculus, plus Fibonacci numbers, infinity, and, of course, mathematical magic tricks. Known throughout the world as the "mathemagician," Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand for math fan and math-phobic alike."A positively joyful exploration of mathematics."-Publishers Weekly, starred review"Each [trick] is more dazzling than the last."-Physics World

    Each formula is explained gently and in great detail, including a discussion of all the quanitites involved and examples that will make clear how and where to apply it. On top of that, there are plenty of illustrations that support the explanations and make the reading experience even more vivid.The book covers a wide range of diverse topics: acoustics, explosions, hurricanes, pipe flow, car traffic, gravity, satellites, roller coasters, flight, conservation laws, trigonometry, equations, inflation, loans, and many more. From the author of "Statistical Snacks" and "Business Math Basics - Practical and Simple".

    Full-color illustrations.

    In the days that follow, a doctor performs miraculous surgery on Keeley, who wakes up to find that everything about his world has changed. He seems to sense things before they happen, and he thinks he’s capable of feats that are clearly impossible. It’s a strange and compelling new world for him, one he quickly realizes is also incredibly dangerous.Meanwhile at a $12 billion facility in hardscrabble North Texas, a super collider lies two hundred feet beneath the Earth’s surface. Leading a team of scientists, Mike McNair, a brilliant physicist, works to uncover one of the universe’s greatest secrets–a theoretical particle that binds the universe together, often called The God Particle. When his efforts are undermined by the man who has poured his own vast fortune into the project, McNair begins to suspect that something in his research has gone very, very wrong.Now, these two men are about to come together, battling mysteries of science and of the soul–and venturing to a realm beyond reason, beyond faith, perhaps even beyond life and death.

    An illustration program supports the concepts and theories discussed.

    Language is informal, examples are vivid and lively, and the perspectivie is fresh. Based on lectures delivered to engineering students, this work will also be valued by scientists, engineers, technicians, businessmen, anyone facing energy challenges of the future.