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.

    Two scientists, Peter Higgs and François Englert, whose theories predicted its existence, shared a Nobel Prize. The discovery was the culmination of the largest experiment ever run, the ATLAS and CMS experiments at CERN's Large Hadron Collider.But what really is a Higgs boson and what does it do? How was it found? And how has its discovery changed our understanding of the fundamental laws of nature? And what did it feel like to be part of it?Jon Butterworth is one of the leading physicists at CERN and this book is the first popular inside account of the hunt for the Higgs. It is a story of incredible scientific collaboration, inspiring technological innovation and ground-breaking science. It is also the story of what happens when the world's most expensive experiment blows up, of neutrinos that may or may not travel faster than light, and the reality of life in an underground bunker in Switzerland.This book will also leave you with a working knowledge of the new physics and what the discovery of the Higgs particle means for how we define the laws of nature. It will take you to the cutting edge of modern scientific thinking.

    Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

    Each idea is explained in clear, accessible language, building from the basics such as mechanics, waves and particles, to more complex topics including neutrinos, string theory and dark matter.

    It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.

    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.

    Readers take an extraordinary trip, starting in the 1600s with an alchemist's air conditioning of Westminster Abbey and scientists' creation of thermometers. Later, while entrepreneurs sold Walden Pond ice to tropical countries -- packed in "high-tech" sawdust -- researchers pursued absolute zero and interpreted their work as romantically as did adventurers to remote regions. Today, playing with ultracold temperatures is one of the hottest frontiers in physics, with scientists creating useful particles Einstein only dreamed of. Tom Shachtman shares a great scientific adventure story and its characters' rich lives in a book that has won a grant from the prestigious Alfred P. Sloan Foundation. Absolute Zero is for everyone who loves history and science history stories, who's eager to explore Nobel Prize-winning physics today, or who has ever sighed with pleasure on encountering air conditioning.

    In The Physics of Star Wars, you’ll explore the mystical power of the Force using quantum mechanics, find out how much energy it would take for the Death Star or Starkiller Base to destroy a planet, and discover how we can potentially create our very own lightsabers. The fantastical world of Star Wars may become a reality!

    This guidebook is aimed clearly at the needs of the student, with a thorough understanding of, and provision for, the potential conceptual difficulties he or she is likely to encounter.

    This book provides a clear and comprehensive introduction to the application of electronic control systems in mechanical and electrical engineering. It gives a framework of knowledge that allows engineers and technicians to develop an interdisciplinary understanding and integrated approach to engineering.

    The weird and wonderful world of the Buffyversewhere the melding of magic and science is an everyday occurrenceprovides a fantastical jumping-off point for looking at complex theories of biology, chemistry, and theoretical physics. From surreal vampires, demons, and interdimensional portals to energy conservation, black holes, and string theory, The Physics of the Buffyverse is serious (and palatable) science for the rest of us. "

    C. Cole. Once again, acclaimed science writer K. C. Cole brings the arcane and academic down to the level of armchair scientists in The Hole in the Universe, an entertaining and edifying search for nothing at all. Open the newspaper on any given day and you will read of a newly discovered planet, star, and so on. Yet scientists and mathematicians have spent generations searching the far reaches of the universe for that one elusive state—nothingness. Although this may sound like a simple task, every time the absolute void appears within reach, something new is discovered in its place: a black hole, an undulating string, an additional dimension of space or time—even another universe. A fascinating and literary tour de force, The Hole in the Universe is a virtual romp into the unknown that you never knew wasn't there.

    But Shep Doeleman and a global coalition of scientists are on the cusp of doing just that.With exclusive access to the team, journalist Seth Fletcher spent five years following Shep and an extraordinary cast of characters as they assembled the Event Horizon Telescope, a virtual radio observatory the size of the Earth. He witnessed their struggles, setbacks, and breakthroughs, and along the way, he explored the latest thinking on the most profound questions about black holes. Do they represent a limit to our ability to understand reality? Or will they reveal the clues that lead to the long-sought Theory of Everything?Fletcher transforms astrophysics into something exciting, accessible, and immediate, taking us on an incredible adventure to better understand the complexity of our galaxy, the boundaries of human perception and knowledge, and how the messy human endeavor of science really works.Weaving a compelling narrative account of human ingenuity with excursions into cutting-edge science, Einstein’s Shadow is a tale of great minds on a mission to change the way we understand our universe—and our place in it.

     For four hundred years, since early scientists discovered that the universe did not revolve around the earth, people have felt cut off-adrift in a meaningless cosmos. That is about to change. In their groundbreaking new book, The View from the Center of the Universe, Joel R. Primack, Ph.D., one of the world's leading cosmologists, and Nancy Ellen Abrams, a philosopher and writer, use recent advances in astronomy,physics, and cosmology to frame a compelling new theory of how to understand the universe and our role in it. While most of us think of the universe as empty space peppered with stars separated by vast distances, the truth, the authors argue, is far richer and more meaningful. For the first time in history, we know that the universe is more coherent and spiritually significant than anyone ever imagined and that our place in it is actually central to the expanding universe in important ways. According to Primack and Abrams, this new cosmology clarifies how the universe operates, what it's made of, how it may have originated, and how it is evolving. Even more surprising, these startling ideas spring from both cutting-edge science and the metaphors of ancient symbols. The result is a very human book that satisfies our fundamental need for order and meaning in our world and in our lives.