New to this third edition are expanded coverage of such important topics as surface boundary interfaces, improved discussions of such physical and mathematical laws as the Law of Biot and Savart and the Euler Momentum Integral. A very important new section on Computational Fluid Dynamics has been added for the very first time to this edition. Expanded and improved end-of-chapter problems will facilitate the teaching experience for students and instrutors alike. This book remains one of the most comprehensive and useful texts on fluid mechanics available today, with applications going from engineering to geophysics, and beyond to biology and general science. * Ample, useful end-of-chapter problems.* Excellent Coverage of Computational Fluid Dynamics.* Coverage of Turbulent Flows.* Solutions Manual available.

    The Big Bang. DNA. Natural selection. All are ideas that have revolutionized science—and all were dismissed out of hand when they first ap­peared. The surprises haven’t stopped in recent years, and in At the Edge of Uncertainty, bestselling author Michael Brooks investigates the new wave of radical insights that are shaping the future of scientific discovery.   Brooks takes us to the extreme frontiers of what we understand about the world. He journeys from the observations that might rewrite our story of how the cosmos came to be, through the novel biology behind our will to live, and on to the physi­ological root of consciousness. Along the way, he examines how it’s time to redress the gender im­balance in clinical trials, explores how merging hu­mans with other species might provide a solution to the shortage of organ donors, and finds out whether the universe really is like a computer or if the flow of time is a mere illusion.

    Since then, Sylvia Nasar's celebrated biography A Beautiful Mind, the basis of a new major motion picture, has revealed the man. The Essential John Nash reveals his work--in his own words. This book presents, for the first time, the full range of Nash's diverse contributions not only to game theory, for which he received the Nobel, but to pure mathematics--from Riemannian geometry and partial differential equations--in which he commands even greater acclaim among academics. Included are nine of Nash's most influential papers, most of them written over the decade beginning in 1949.From 1959 until his astonishing remission three decades later, the man behind the concepts "Nash equilibrium" and "Nash bargaining"--concepts that today pervade not only economics but nuclear strategy and contract talks in major league sports--had lived in the shadow of a condition diagnosed as paranoid schizophrenia. In the introduction to this book, Nasar recounts how Nash had, by the age of thirty, gone from being a wunderkind at Princeton and a rising mathematical star at MIT to the depths of mental illness.In his preface, Harold Kuhn offers personal insights on his longtime friend and colleague; and in introductions to several of Nash's papers, he provides scholarly context. In an afterword, Nash describes his current work, and he discusses an error in one of his papers. A photo essay chronicles Nash's career from his student days in Princeton to the present. Also included are Nash's Nobel citation and autobiography.The Essential John Nash makes it plain why one of Nash's colleagues termed his style of intellectual inquiry as "like lightning striking." All those inspired by Nash's dazzling ideas will welcome this unprecedented opportunity to trace these ideas back to the exceptional mind they came from.

    This textbook, based on the author's own undergraduate teaching, develops general relativity and its associated mathematics from a minimum of prerequisites, leading to a physical understanding of the theory in some depth. It reinforces this understanding by making a detailed study of the theory's most important applications - neutron stars, black holes, gravitational waves, and cosmology - using the most up-to-date astronomical developments. The book is suitable for a one-year course for beginning graduate students or for undergraduates in physics who have studied special relativity, vector calculus, and electrostatics. Graduate students should be able to use the book selectively for half-year courses.

    Here you’ll find the facts, the processes, the physics of our complex and changing climate, but delivered with eloquence and urgency. Lawrence Krauss writes with a clarity that transcends mere politics. Prose and poetry were never better bedfellows.” —Ian McEwan, Booker Prize-winning author of Solar and Machines Like Me “Lawrence Krauss has written the ideal book for anyone interested in understanding the science of global warming. It is at once elegant, rigorous, and timely.”—Elizabeth Kolbert, staff writer, The New Yorker, and Pulitzer prize-winning author of The Sixth Extinction “A brief, brilliant, and charming summary of what physicists know about climate change and how they learned it.” —Sheldon Glashow, Nobel Laureate in Physics, Metcalf Distinguished Professor Emeritus, Boston University “The distinguished scientist Lawrence Krauss turns his penetrating gaze on the most pressing existential threat facing our world: climate change. It is brimming with information lucidly analysed. Such hope as there is lies in science, and a physicist of Dr. Krauss’s imaginative versatility is unusually qualified to offer it.” —Richard Dawkins, author of The Blind Watchmaker and Science in the Soul “Lucid and gripping, this study of the most severe challenge humans have ever faced leads the reader from the basic physics of climate change to recognition of the damage that humans have already caused and on to the prospects that lie ahead if we do not change course soon.” —Noam Chomsky, Laureate Professor, University of Arizona, author of Internationalism or Extinction? “Lawrence Krauss tells the story of climate change with erudition, urgency, and passion. It is our great good luck that one of our most brilliant scientists is also such a gifted writer. This book will change the way we think about the future.” —Jennifer Finney Boylan, author of Good Boy and She’s Not There “Everything on climate change that I’ve seen is either dumbed down and bossy or written for other climate scientists. I’ve been looking for a book that can let me, a layperson, understand the science. This book does just what I was looking for. It is important.” —Penn Jillette, Magician, author of Presto! and God, No! “The renowned physicist Lawrence Krauss makes the science behind one of the most important issues of our time accessible to all.” —Richard C. J. Somerville, Distinguished Professor Emeritus, Scripps Institution of Oceanography, University of California, San Diego “Lawrence Krauss is a fine physicist, a talented writer, and a scientist deeply engaged with public affairs. His book deserves wide readership. The book’s eloquent exposition of the science and the threats should enlighten all readers and motivate them to an urgent concern about our planet’s future.” —Lord Martin Rees, Astronomer Royal, former president of the Royal Society, author of On the Future: Prospects for Humanity

    Concisely and with a rare clarity, he demystifies how we are uncovering the inner workings of the universe and heading towards the next scientific revolution.Why are atoms so small? How did the Higgs boson save the universe? And is there a Theory of Everything? The Particle Zoo answers these and many other profound questions, and explains the big ideas of Quantum Physics, String Theory, The Big Bang and Dark Matter... and, ultimately, what we know about the true, fundamental nature of reality.

    In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.

    There's a lot for astronomers to be smug about. But when it comes to understanding how the Universe began and grew up we are literally in the dark ages. In effect, we are missing the first one billion years from the timeline of the Universe.This brief but far-reaching period in the Universe's history, known to astrophysicists as the 'Epoch of Reionisation', represents the start of the cosmos as we experience it today. The time when the very first stars burst into life, when darkness gave way to light. After hundreds of millions of years of dark, uneventful expansion, one by the one these stars suddenly came into being. This was the point at which the chaos of the Big Bang first began to yield to the order of galaxies, black holes and stars, kick-starting the pathway to planets, to comets, to moons, and to life itself.Incorporating the very latest research into this branch of astrophysics, this book sheds light on this time of darkness, telling the story of these first stars, hundreds of times the size of the Sun and a million times brighter, lonely giants that lived fast and died young in powerful explosions that seeded the Universe with the heavy elements that we are made of. Emma Chapman tells us how these stars formed, why they were so unusual, and what they can teach us about the Universe today. She also offers a first-hand look at the immense telescopes about to come on line to peer into the past, searching for the echoes and footprints of these stars, to take this period in the Universe's history from the realm of theoretical physics towards the wonder of observational astronomy.

    In this delightful tour of the galaxies, Merlin often recounts his conversations with these historical figures in his responses to popular astronomy questions asked by adults and children alike. Merlin's well-informed answers combine a unique combination of wit and poetry along with serious science explained in refreshingly clear, reader-friendly language.Dear Merlin: Can a person cross our galaxy in a spaceship during one human lifespan?Merlin: In 1905, Merlin's good friend Albert Einstein introduced the "Special Theory of Relativity," which predicts that time will tick slower and slower the faster you travel. Were you to embark on such an adventure you could conceivably age as little as you wish, depending of course, on your exact speed. The problem arises when you return to Earth, which will have moved several hundred thousand years into the future and everyone will have forgotten about you.A skywatcher's book for lovers of the universe by one of its greatest lights.

    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

    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.

    You discover how fundamental principles and concepts relate to everyday life. Plus, you get plenty of study tips to improve your grades and score higher on exams! Explore the world of the cell — take a tour inside the structure and function of cells and see how viruses attack and destroy them Understand the stuff of life (molecules) — get up to speed on the structure of atoms, types of bonds, carbohydrates, proteins, DNA, RNA, and lipids Watch as cells function and reproduce — see how cells communicate, obtain matter and energy, and copy themselves for growth, repair, and reproduction Make sense of genetics — learn how parental cells organize their DNA during sexual reproduction and how scientists can predict inheritance patterns Decode a cell's underlying programming — examine how DNA is read by cells, how it determines the traits of organisms, and how it's regulated by the cell Harness the power of DNA — discover how scientists use molecular biology to explore genomes and solve current world problems Open the book and find: Easy-to-follow explanations of key topics The life of a cell — what it needs to survive and reproduce Why molecules are so vital to cells Rules that govern cell behavior Laws of thermodynamics and cellular work The principles of Mendelian genetics Useful Web sites Important events in the development of DNA technology Ten great ways to improve your biology grade

    Its tale is one riddled with jealousy, rivalry, missed opportunities and moments of genius. Piers Bizony tells the story of the young misfit New Zealander, Ernest Rutherford, who showed that the atom consisted mainly of empty space, a discovery that turned 200 years of classical physics on its head, and the brilliant Dane, Niels Bohr, who made the next great leap into the incredible world of quantum theory. Yet he and a handful of other Young Turks in this revolutionary new science weren't prepared for the shocks that Nature had up her sleeve. At the dawn of the Atomic Age, a dangerous new force was unleashed with terrifying speed...

    John Brockman brings together the world’s best-known physicists and science writers—including Brian Greene, Walter Isaacson, Nobel Prize-winners Murray Gell-Mann and Frank Wilczek, and Brian Cox—to explain the universe in all wondrous splendor.In Universe, today’s most influential science writers explain the science behind our evolving understanding of the universe and everything in it, including the cutting edge research and discoveries that are shaping our knowledge.Lee Smolin reveals how math and cosmology are helping us create a theory of the whole universe Brian Cox offers new dimensions on the Large Hadron and the existence of a Higgs-Boson particle Neil Turok analyzes the fundamental laws of nature, what came before the big bang, and the possibility of a unified theory.Seth Lloyd investigates the impact of computational revolutions and the informational revolution Lawrence Krauss provides fresh insight into gravity, dark matter, and the energy of empty space Brian Greene and Walter Isaacson illuminate the genius who revolutionized modern science: Albert Einstein and much more.Explore the Universe with some of today’s greatest minds: what it is, how it came into being, and what may happen next.

    He ventures to the largest underground research facility in the world, deep beneath Italy's Gran Sasso mountains, where scientists gaze into the heart of the Sun using the most elusive of particles, the ghostly neutrino. He visits CERN in Switzerland to explore the Antimatter Factory, where the stuff of science fiction is manufactured daily (and we're close to knowing whether it falls up). And he reveals what the latest data from the Large Hadron Collider may be telling us about the fundamental nature of matter.Along the way, Cliff illuminates the history of physics, chemistry, and astronomy that brought us to our present understanding--and misunderstandings--of the world, while offering readers a front-row seat to one of the most dramatic intellectual journeys human beings have ever embarked on.A transfixing deep dive into origins of our world, How to Make an Apple Pie from Scratch examines not just the makeup of our universe, but the awe-inspiring, improbable fact that it exists at all.