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.

    Chapters cover cancer, infection, immune disorders, genetics, and disorders of each body system, highlighting pathophysiologic processes, resulting signs and symptoms, diagnostic test findings, and current treatments. Reader-friendly features include illustrations, checklists, and full-color miniguides illustrating the pathophysiology of specific disorders.This edition has new full-color miniguides on cancer pathophysiology and neuropathology. A new Focus on Genetics feature identifies gene-related discoveries and their implications for treatment or diagnosis. Review questions and answers follow current NCLEX-RN® requirements and alternate-format questions are included.

    Like its predecessors, the seventh edition includes the absolute minimum of mathematical/statistical notation necessary to teach the material. Concepts are fully explained in simple, easy-to-understand language as they are presented, making the book an excellent source from which to learn and teach. After each discussion, readers are guided through real-world examples to show how book principles work in professional practice. Includes easy-to-understand explanations of difficult statistical topics, such as sampling distributions, relationship between confidence level and confidence interval, interpreting r-square. A complete package of teaching/learning aids is provided in every chapter, including chapter review exercises, chapter concepts tests,"Statistics at Work" conceptual cases, "Computer Database Exercises," "From the Textbook to the Real-World Examples." This ISBN is in two volumes Part A and Part B.

    If they are right, the consequence could be an intelligence explosion, in which the AI rapidly and enormously exceeds human cognitive ability. Pandora's Brain is a science and philosophy thriller by best-selling writer Calum Chace. It uses the issues raised by the coming machine intelligence explosion as a platform for a fast-paced and thought-provoking adventure story. Set in the very near future, it features Matt, a shy but engaging and resourceful student who discovers that his recently-deceased father was involved in research that could enable the construction of the world's first conscious machine. Matt's enquiries lead to him being kidnapped, as he is caught in the crossfire between two groups pursuing that goal - one led by a Russian billionaire, and another backed by the US military. Matt has to do more than simply survive: he has to harness these powerful forces to his own ends. At stake is his own life and those of his family and friends. A dramatic seaborne rescue operation, a series of brutal murders and other filmic action scenes follow. In the course of his adventures, Matt discovers that the potential upside of creating machine intelligence includes immortality, and godlike powers of understanding and being - but the potential downside is immediate extinction, or worse. As he is drawn deeper into his adventure, he becomes both the symbol and the victim of a global struggle over the approach to be taken towards this powerful new technology. A landmark decision at a meeting of the UN General Assembly forces Matt to make a fateful decision which sparks the story's final twist. Selected reviews for Pandora's Brain: “I love the concepts in this book!” Peter James, author of the best-selling Roy Grace series “Awesome!  Count me as a fan.” Brad Feld, co-founder of the Foundry Group and Techstars “Pandora’s Brain is a captivating tale of developments in artificial intelligence that could, conceivably, be just around the corner. The imminent possibility of these breakthroughs cause characters in the book to re-evaluate many of their cherished beliefs, and will lead most readers to several “OMG” realisations about their own philosophies of life. Apple carts that are upended in the processes are unlikely ever to be righted again. Once the ideas have escaped from the pages of this Pandora’s box of a book, there’s no going back to a state of innocence. Mainly set in the present day, the plot unfolds in an environment that seems reassuringly familiar, but which is overshadowed by a combination of both menace and promise. Carefully crafted, and absorbing from its very start, the book held my rapt attention throughout a series of surprise twists, as various personalities react in different ways to a growing awareness of that menace and promise.” David Wood, Chairman of the London Futurist Group “Pandora’s Brain is a tour de force that neatly explains the key concepts behind the likely future of artificial intelligence in the context of a thriller novel. Ambitious and well executed, it will appeal to a broad range of readers. In the same way that Suarez’s Daemon and Naam’s Nexus leaped onto the scene, redefining what it meant to write about technology, Pandora’s Brain will do the same for artificial intelligence. Mind uploading? Check. Human equivalent AI? Check. Hard takeoff singularity? Check. Strap in, this is one heck of a ride.

    Indeed, numbers are part of every discipline in the sciences and the arts.With 350 illustrations, including diagrams, photographs and computer imagery, the book chronicles the centuries-long search for the meaning of numbers by famous and lesser-known mathematicians, and explains the puzzling aspects of the mathematical world. Topics include:The earliest ideas of numbers and counting Patterns, logic, calculating Natural, perfect, amicable and prime numbers Numerology, the power of numbers, superstition The computer, the Enigma Code Infinity, the speed of light, relativity Complex numbers The Big Bang and Chaos theories The Philosopher's Stone. The Book of Numbers shows enthusiastically that numbers are neither boring nor dull but rather involve intriguing connections, rivalries, secret documents and even mysterious deaths.

    Thanks largely to YouTube clips posted by the sloth orphanage in Costa Rica, sloths have attracted a vast audience of admirers. Instead of seeing them as ridiculous anachronisms of which we know little, they have turned into creatures considered by many to be the most endearing on earth.Over much the same period, scientific investigations have also changed our view of sloths. No longer are they seen as total misfits in the modern world but, in the words of one specialist sloth investigator, they are 'masters of an alternative lifestyle'.In this wonderfully entertaining celebration of this most unique of creatures, William Hartston reveals the fascinating history of the sloth, from the prehistoric ground sloth to modern pygmy sloths in Panama, explores the current state of the science of sloths and reveals the truth behind sloth behaviour.

    In the Fourth Edition CALCULUS, EARLY TRANSCENDENTALS these functions are introduced in the first chapter and their limits and derivatives are found in Chapters 2 and 3 at the same time as polynomials and other elementary functions. In this Fourth Edition, Stewart retains the focus on problem solving, the meticulous accuracy, the patient explanations, and the carefully graded problems that have made these texts word so well for a wide range of students. All new and unique features in CALCULUS, FOURTH EDITION have been incorporated into these revisions also.

    Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, alwayschoosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum ofmathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issuesand has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.

    The fruits of geology provide most of the materials that give us shelter, and most of the energy that drives our modern lives. Within the study of geology lie some of the clues to the extraordinary impact our species is going to play out on the planet, in centuries and millennia to come.In this Very Short Introduction Jan Zalasiewicz gives a brief introduction to the fascinating field of geology. Describing how the science developed from its early beginnings, he looks at some of the key discoveries that have transformed it, before delving into its various subfields, such as sedimentology, tectonics, and stratigraphy. Analyzing the geological foundations of the Earth, Zalasiewicz explains the interlocking studies of tectonics, geophysics, and igneous and metamorphic petrology and geochemistry; and describes how rocks are dated by radiometric dating. Considering the role and importance of geology in the finding and exploitation of resources (including fracking), he also discusses its place in environmental issues, such as foundations for urban structures and sites for landfill, and in tackling issues associated with climate change. Zalasiewicz concludes by discussing the exciting future and frontiers of the field, such as the exploration of the geology of Mars.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

    In Coming Apocalypse he explains how and why the 'crisis' developed and explains the sort of future we can expect now that lockdowns have destroyed the global economy and changed our way of life. Our world will never be as it was in January 2020. Dr Coleman explains what he believes we can expect.