In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

    It emphasizes forms suitable for students and researchers whose interest lies in solving equations rather than in general theory. Solutions to odd-numbered problems appear at the end. 1957 edition.

    This book provides an introduction to the field of solid state physics for undergraduate students in physics, chemistry, engineering, and materials science.

    The objective here is to explain science in a simple, attractive and fun form that is open to all.The first axiom of this approach was set out as follows: “We believe in the magic of science. We hope to show you that sci-ence is not a secret art, accessible only to a dedicated few. It involves learning about nature and society, and aspects of our existence which affect us all, and which we should all therefore have the chance to understand. We shall interpret science for those who might not speak its language fluently, but want to understand its meaning. We don’t teach, we just tell stories about the beginnings of science, the natural phenomena and the underlying principles through which they occur, and the lives of the people who discovered them.”The aim of the writings collected in this series is to present some key scientific events, ideas and personalities in the form of short stories that are easy and fun to read. Scientific and philo-sophical concepts are explained in a way that anyone may under-stand. Each story may be read separately, but at the same time they all band together to form a wide-ranging introduction to the history of science and areas of contemporary scientific research, as well as some of the recurring problems science has encountered in history and the philosophical dilemmas it raises today.Review“If I were the only survivor on a remote island and all I had with me were this book, a Swiss army knife and a bottle, I would throw the bottle into the sea with the note: ‘Don’t worry, I have everything I need.’”— Ciril Horjak, alias Dr. Horowitz, a comic artist“The writing is understandable, but never simplistic. Instructive, but never patronizing. Straightforward, but never trivial. In-depth, but never too intense.”— Ali Žerdin, editor at Delo, the main Slovenian newspaper“Does science think? Heidegger once answered this question with a decisive No. The writings on modern science skillfully penned by Sašo Dolenc, these small stories about big stories, quickly convince us that the contrary is true. Not only does science think in hundreds of unexpected ways, its intellectual challenges and insights are an inexhaustible source of inspiration and entertainment. The clarity of thought and the lucidity of its style make this book accessible to anyone … in the finest tradition of popularizing science, its achievements, dilemmas and predicaments.”— Mladen Dolar, philosopher and author of A Voice and Nothing More“Sašo Dolenc is undoubtedly one of our most successful authors in the field of popular science, possessing the ability to explain complex scientific achievements to a broader audience in a clear and captivating way while remaining precise and scientific. His collection of articles is of particular importance because it encompasses all areas of modern science in an unassuming, almost light-hearted manner.”— Boštjan Žekš, physicist and former president of the Slovenian Academy of Sciences and Arts

    In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

    With a foreword by ESA astronaut Tim Peake.Started at the Royal Institution (RI) in 1825 by Michael Faraday, the Christmas Lectures have been broadcast on television since the 1960s and have formed part of the British Christmas tradition for generations. First devised to attract young people to the magic of science through spectacular demonstrations, they are now watched by millions of people around the world every year.Drawing on the incredible archive at the RI, which is packed full of handwritten notebooks, photographs and transcripts, this book will focus on thirteen of the most captivating Lectures given at the RI on space and time, taking a look at what we thought we knew then and what has been discovered since.

    In the quantum realm, objects can be in two places at once. It's a place where time travel is not only possible, but necessary. It's a place where cause and effect can happen in reverse and observing something changes its state. From parallel universes to antimatter, quantum mechanics has revealed that when you get right down to it, the laws of nature are insane. The scientist J. B. S. Haldane once said, 'Reality is not only stranger than we imagine . . . it's stranger than we can imagine.' Never is this more true than with quantum mechanics; our best, most recent attempt to make sense of the fundamental laws of nature.Fundamental is a comprehensive beginner's guide to quantum mechanics, explaining not only the weirdness of the subject but the experiments that proved it to be true. Using a humorous and light-hearted approach, Fundamental tells the story of how the most brilliant minds in science grappled with seemingly impossible ideas and gave us everything from microchips to particle accelerators. Fundamental gives clear explanations of all the quantum phenomena known to modern science, without requiring an understanding of complex mathematics; tells the eccentric stories of the scientists who made these shattering discoveries and what they used them for; explains how quantum field theory (a topic not covered in detail by any other popular-science book) gave rise to particle physics and why the Higgs boson isn't the end of the story.

    Ten dimensions? Most of us have barely gotten used to the idea that there are four.Using simple geometry and an easygoing writing style, author Rob Bryanton starts with the lower dimensions that we are all familiar with, then uses those concepts to build one layer upon another, ultimately arriving at a way of imagining the tenth dimension.Part scientific exploration, part philosophy, this unique book touches upon such diverse topics as dark matter, Feynman's "sum over paths", the quantum observer, and the soul. It is aimed at anyone interested in leading-edge theories about cosmology and the nature of reality, but it is not about mainstream physics. Rather, Imagining the Tenth Dimension is a mind-expanding exercise that could change the way you view this incredible universe in which we live.

    But what sort of person was the young Albert Einstein, before he became universally acclaimed as the archetypal genius? And how did his genius unfold? In this brilliant new Kindle Single, scientist Robyn Arianrhod blends biography with popular science to tell the story of how young Albert developed a theory that – unknown to him at first – contained the seeds of his extraordinary equation E = mc2. Arianrhod, who wrote her PhD on Einstein’s general theory of relativity, makes the ideas behind the equation accessible to the lay reader, and sets young Einstein’s exploration of these ideas against the backdrop of his first loves, his family and marriage, and, above all, his childlike wonder at the nature of the universe. She introduces his heroes and scientific inspirations, and the friends who believed in him when no one else did. In personalising Einstein, she brings to life both the man and his science, in a short, easy-to-read narrative. In showing how he discovered his famous equation, and what it means, she draws a compelling portrait of this prodigious intellect whose unfathomable grasp of the building blocks of physics would change our world forever. About the Author: Dr Robyn Arianrhod is the author of two critically acclaimed works of popular science and scientific history: Einstein’s Heroes: Imagining the World Through the Language of Mathematics, and Seduced by Logic: Émilie du Châtelet, Mary Somerville and the Newtonian Revolution. Both were shortlisted for major book awards and are published in the USA. Einstein’s Heroes was translated into several languages. Robyn was awarded her PhD for research on Einstein’s general theory of relativity and has lectured in applied mathematics (including special relativity) for many years. She is currently an Adjunct Research Fellow in the School of Mathematical Sciences at Monash University in Melbourne, where she is undertaking research on the structure of relativistic space-times. She is also a technical reviewer for the American Mathematical Society. Praise for Robyn Arianrhod's books: Einstein’s Heroes ‘Arianrhod’s achievement is to so masterfully combine history, biography, and mathematics as to absorb and enlighten even the mathematically maladroit’ – Booklist ‘An intriguing blend of science, history, and biography . . . Arianrhod’s well-written, fascinating discussion of intertwined topics is highly recommended’ – Library Journal (starred review) ‘A thrilling story . . . Arianrhod brings out the human side of the scientists’ – Bloombergnews ‘Offers readers an engaging intellectual exercise combining physics, language, mathematics, and biography’ – Science News Seduced by Logic ‘Seduced by Logic offers the lay reader an easy and agreeable introduction to the evolution of some crucial scientific debates . . . One cannot help be captivated by her intellectual honesty and enthusiasm’ – Times Higher Education ‘An elegant and inspiring history of how scientific revolutions make their way’ – Edward Dolnick, The Clockwork Universe ‘Here is a skillfully written tapestry of the science, history and portrayal of two of the most charismatic women of mathematical science. Robyn Arianrhod has produced a captivating masterpiece’ – Joseph Mazur, author of Euclid in the Rainforest and What’s Luck Got to Do with It?

    Using a "physics first" approach to the subject, renowned relativist James B. Hartle provides a fluent and accessible introduction that uses a minimum of new mathematics and is illustrated with a wealth of exciting applications. KEY TOPICS: The emphasis is on the exciting phenomena of gravitational physics and the growing connection between theory and observation. The Global Positioning System, black holes, X-ray sources, pulsars, quasars, gravitational waves, the Big Bang, and the large scale structure of the universe are used to illustrate the widespread role of how general relativity describes a wealth of everyday and exotic phenomena. MARKET: For anyone interested in physics or general relativity.

    

    But ask a physicist and there’s no doubt that James Clerk Maxwell will be near the top of the list.  Maxwell, an unassuming Victorian Scotsman, explained how we perceive colour. He uncovered the way gases behave. And, most significantly, he transformed the way physics was undertaken in his explanation of the interaction of electricity and magnetism, revealing the nature of light and laying the groundwork for everything from Einstein’s special relativity to modern electronics.   Along the way, he set up one of the most enduring challenges in physics, one that has taxed the best minds ever since. ‘Maxwell’s demon’ is a tiny but thoroughly disruptive thought experiment that suggests the second law of thermodynamics, the law that governs the flow of time itself, can be broken. This is the story of a groundbreaking scientist, a great contributor to our understanding of the way the world works, and his duplicitous demon.

    QFT is the only physics theory that makes sense and that dispels or resolves the paradoxes of relativity and quantum mechanics that have confused and mystified so many people.

    A number of the key figures in the new edition are revised to provide a more inviting and informative treatment. The figures are broken into component parts with supporting commentary so that they can more readily see the key ideas. Material from The Flying Circus is incorporated into the chapter opener puzzlers, sample problems, examples and end-of-chapter problems to make the subject more engaging. Checkpoints enable them to check their understanding of a question with some reasoning based on the narrative or sample problem they just read. Sample Problems also demonstrate how engineers can solve problems with reasoned solutions.

      “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin, Boston Globe “Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.”—Judith Goodstein, American Scientist  Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.