This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings. * The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible.

    Gerd Heuschmann is well-known in dressage circles—admired for his plain speaking regarding what he deems the incorrect and damaging training methods commonly employed by riders and trainers involved in competition today. Here, he presents an intelligent and thought-provoking exploration of both classical and "modern" training methods, including "hyperflexion" (also known as Rollkur), against a practical backdrop of the horse's basic anatomy and physiology. In a detailed yet comprehensible fashion, Dr. Heuschmann describes parts of the horse's body that need to be correctly developed by the dressage rider. He then examines how they function both individually and within an anatomical system, and how various schooling techniques affect these parts for the good, or for the bad. Using vivid color illustrations of the horse's skeletal system, ligaments, and musculature, in addition to comparative photos depicting "correct" versus "incorrect" movement—and most importantly, photos of damaging schooling methods—Dr. Heuschmann convincingly argues that the horse's body tells us whether our riding is truly gymnasticizing and "building the horse up," or simply wearing it down and tearing it apart. He then outlines his ideal "physiological education" of the horse. Training should mirror the mental and physical development of the horse, fulfilling "classical" requirements—such as regularity of the three basic gaits, suppleness, and acceptance of the bit—rather than disregarding time-tested values for quick fixes that could lead to the degradation of the horse's well-being. Dr. Heuschmann's assertion that the true objectives of dressage schooling must never be eclipsed by simple "mechanical perfection" is certain to inspire riders at all levels to examine their riding, their riding goals, and the techniques they employ while pursuing them.

    Ian Stewart presents us with a wealth of magical puzzles, each one spun around an amazing tale, including Counting the Cattle of the Sun, The Great Drain Robbery, and Preposterous Piratical Predicaments. Fully illustrated with explanatory diagrams, each tale is told with engaging wit, sure to amuse everyone with an interest in puzzles and mathematics. Along the way, we also meet many curious characters. Containing twenty specially-commissioned cartoons, this book will delight all who are familiar with Stewart's many other books, such as What Shape is a Snowflake? and Flatterland and anyone interested in mathematical problems. In short, these stories are engaging, challenging, and lots of fun!

    This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers.

    The framework of probabilistic graphical models, presented in this book, provides a general approach for this task. The approach is model-based, allowing interpretable models to be constructed and then manipulated by reasoning algorithms. These models can also be learned automatically from data, allowing the approach to be used in cases where manually constructing a model is difficult or even impossible. Because uncertainty is an inescapable aspect of most real-world applications, the book focuses on probabilistic models, which make the uncertainty explicit and provide models that are more faithful to reality.Probabilistic Graphical Models discusses a variety of models, spanning Bayesian networks, undirected Markov networks, discrete and continuous models, and extensions to deal with dynamical systems and relational data. For each class of models, the text describes the three fundamental cornerstones: representation, inference, and learning, presenting both basic concepts and advanced techniques. Finally, the book considers the use of the proposed framework for causal reasoning and decision making under uncertainty. The main text in each chapter provides the detailed technical development of the key ideas. Most chapters also include boxes with additional material: skill boxes, which describe techniques; case study boxes, which discuss empirical cases related to the approach described in the text, including applications in computer vision, robotics, natural language understanding, and computational biology; and concept boxes, which present significant concepts drawn from the material in the chapter. Instructors (and readers) can group chapters in various combinations, from core topics to more technically advanced material, to suit their particular needs.

    Kids are encouraged to recognize patterns, which are everywhere -- in the colors of the fish, the backgrounds, the text, and the borders. A note to readers in the back of the book identifies even more patterns to look for!

    The book first explores the parts of trees, their life cycles, the difference between deciduous and evergreen trees, leaf types and the processes of photosynthesis and respiration. Then it takes readers through a year in the life cycle of trees, describing what happens during each of the four seasons. Readers will discover the many ways trees are vital to the environment and how various animals can share one tree as a home.A two-page spread contains a map of forest regions across the United States and Canada. And there's even a section for ?budding? tree-watchers, with fun questions to help identify trees in their neighborhoods.Combine bestselling author Pamela Hickman's child-friendly, informative text with Carolyn Gavin's whimsical, painterly illustrations and you get both a complete reference tool and a book that children will be drawn to for its enticing visual appeal. This book has strong curriculum applications in grades two through five, when children are learning about the characteristics of living things. It works specifically for life science lessons on the growth and changes in plants, and on the interdependence of living things. End matter includes information about endangered trees and how readers can help, as well as an activity, glossary, and index.

    And, it's true, many of them do. But Paul Erdos never followed the usual path. At the age of four, he could ask you when you were born and then calculate the number of seconds you had been alive in his head. But he didn't learn to butter his own bread until he turned twenty. Instead, he traveled around the world, from one mathematician to the next, collaborating on an astonishing number of publications. With a simple, lyrical text and richly layered illustrations, this is a beautiful introduction to the world of math and a fascinating look at the unique character traits that made "Uncle Paul" a great man.

    Before very long she has added three very loud horns, a bucket of water to wash her hands, a complete tool kit. And by the time she has also added a seat for Breakspear, two umbrellas, a cassette player and a mouth-organ, Mrs Armitage is riding a very eye-catching contraption. But it is when she finally adds the mast and sail, that Mrs Armitage really runs into trouble. . .

    This book covers relevant geometric principles and how to represent objects algebraically so they can be computed and applied. Recent major developments in the theory and practice of scene reconstruction are described in detail in a unified framework. Richard Hartley and Andrew Zisserman provide comprehensive background material and explain how to apply the methods and implement the algorithms. First Edition HB (2000): 0-521-62304-9

    A timeless introduction to the field and a landmark in symbolic logic, showing that classical logic can be treated algebraically.

    But who's that in the background making faces at him? Kids will laugh along at this strikingly illustrated tongue-in-cheek tale. 6:00 a.m. Wake up. Have two eggs for breakfast.8:00 a.m. Arrive at launchpad. Change into special man-on-the-moon suit.8:45 a.m. Blast off.8:58 a.m. Arrive on Moon.9:00 a.m. Start work. This is how Bob, the Man on the Moon, begins his day. It's Bob's job to entertain the tourists (handstands and high moon jumps are a hit), conduct Moon seminars (how long does it take to walk around the Moon on stilts?), sell souvenirs (pens, postcards - the usual), and keep the Moon clean and neat. Some people say that aliens are the ones who leave all the trash, but Bob tells them aliens don't exist, and he would know . . . wouldn't he?

    Twelve-year-old Elvis Babbitt has a head for the facts: she knows science proves yellow is the happiest color, she knows a healthy male giraffe weighs about 3,000 pounds, and she knows that the naked mole rat is the longest living rodent. She knows she should plan to grieve her mother, who has recently drowned while sleepwalking, for exactly eighteen months. But there are things Elvis doesn’t yet know—like how to keep her sister Lizzie from poisoning herself while sleep-eating or why her father has started wearing her mother's silk bathrobe around the house. Elvis investigates the strange circumstances of her mother's death and finds comfort, if not answers, in the people (and animals) of Freedom, Alabama.

    With an accessible and lively writing style, it introduces modern techniques to what can often be a formal and intimidating subject. Readers are led from the physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology.

    Galileo Galilei and his telescope. Isaac Newton and his apple. Charles Darwin and his theory of evolution.But have you heard that: Galileo was sentenced to life in prison for his shocking ideas about the solar system? Newton wasn't all that keen on science—sometimes it got on his nerves? Darwin wrote a book about his pet worms?Yes, even though they're dead, scientists are still full of surprises—and the nine in this book are more surprising than most. Now you can get the inside story from their lost notebooks, read the news reports as their breakthroughs hit the headlines, and find out all about the mind-blowing experiments!Dead Funny. Dead Gripping. Dead Famous.