Nobel-Prize-winner Claude Cohen-Tannoudji and his colleagues have written this book to eliminate precisely these difficulties. Fourteen chapters provide a clarity of organization, careful attention to pedagogical details, and a wealth of topics and examples which make this work a textbook as well as a timeless reference, allowing to tailor courses to meet students' specific needs. Each chapter starts with a clear exposition of the problem which is then treated, and logically develops the physical and mathematical concept. These chapters emphasize the underlying principles of the material, undiluted by extensive references to applications and practical examples which are put into complementary sections. The book begins with a qualitative introduction to quantum mechanical ideas using simple optical analogies and continues with a systematic and thorough presentation of the mathematical tools and postulates of quantum mechanics as well as a discussion of their physical content. Applications follow, starting with the simplest ones like e.g. the harmonic oscillator, and becoming gradually more complicated (the hydrogen atom, approximation methods, etc.). The complementary sections each expand this basic knowledge, supplying a wide range of applications and related topics as well as detailed expositions of a large number of special problems and more advanced topics, integrated as an essential portion of the text.

    You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.

    DLC: Quantum theory.

    It has an algebra and trigonometry prerequisite, but calculus is preferred.

    In the days that follow, a doctor performs miraculous surgery on Keeley, who wakes up to find that everything about his world has changed. He seems to sense things before they happen, and he thinks he’s capable of feats that are clearly impossible. It’s a strange and compelling new world for him, one he quickly realizes is also incredibly dangerous.Meanwhile at a $12 billion facility in hardscrabble North Texas, a super collider lies two hundred feet beneath the Earth’s surface. Leading a team of scientists, Mike McNair, a brilliant physicist, works to uncover one of the universe’s greatest secrets–a theoretical particle that binds the universe together, often called The God Particle. When his efforts are undermined by the man who has poured his own vast fortune into the project, McNair begins to suspect that something in his research has gone very, very wrong.Now, these two men are about to come together, battling mysteries of science and of the soul–and venturing to a realm beyond reason, beyond faith, perhaps even beyond life and death.

    You'll discover how the sun shines, why light is both a wave and a particle, the certainty of the Uncertainty Principle, Schrodinger's Cat, Einstein's spooky action, how to build a quantum computer, and why quantum mechanics drives even its experts completely crazy. 'Jim Al-Khalili has done an admirable job of condensing the ideas of quantum physics from Max Planck to the possibilities of quantum computers into brisk, straightforward English' The Times

    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.

    If these galaxies had always been travelling, he reasoned, then they must, at some point, have been on top of one another. This discovery transformed the debate about one of the most fundamental questions of human existence - how did the universe begin?Every society has stories about the origin of the cosmos and its inhabitants, but now, with the power to peer into the early universe and deploy the knowledge gleaned from archaeology, geology, evolutionary biology and cosmology, we are closer than ever to understanding where it all came from. In The Origin of (almost) Everything, New Scientist explores the modern origin stories of everything from the Big Bang, meteorites and dark energy, to dinosaurs, civilisation, timekeeping, belly-button fluff and beyond.From how complex life evolved on Earth, to the first written language, to how humans conquered space, The Origin of (almost) Everything offers a unique history of the past, present and future of our universe.span

    Half a century later, only robots have been to the Red Planet and our astronauts rarely venture beyond Earth orbit.Now Mars is back With everyone from Elon Musk to Ridley Scott and Donald Trump talking about it, interplanetary exploration is back on the agenda and Mars is once again the prime destination for future human expansion and colonisation. In Destination Mars, astrophysicist and science writer Andrew May traces the history of our fascination with the Red Planet and explores the science upon which a crewed mission would be based, from assembling a spacecraft in Earth orbit to surviving solar storms. With expert insight, he analyses the new space race and assesses what the future holds for human life on Mars.

    An illustration program supports the concepts and theories discussed.

    But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place."Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct--including the revelation that ants can actually count how many steps they've taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games.Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. "Here's Looking at Euclid "is a rare gem that brings the beauty of math to life.

    Topics include: Limits, Derivatives, and Integrations.

    Pays special attention to such topics of modern interest as nonlinear oscillators, central force motion, collisions in CMCS, and horizontal wind circulation. For physicists and astronomers.

    We are not alone, nor have we been creating life experiences on our own. There is a co-creative Universal Intelligence who is very much involved and continually seeking a dialogue. The problem is not so much the life challenges, but our own individual lack of communication with our co-creator. A conversation is happening all of the time, but we must open our eyes and ears to it. When we do, an opportunity to reconnect with the lighter side of life ensues. We do not have to get wrapped up in the heaviness. Instead of becoming overwhelmed by the issues at hand, we can become aware of the answers and solutions constantly presenting themselves. The Universe wants us to be joyful, have fun, and let go. The synchronicities, symbols, and messages are always intended to guide us. They are there to make us smile, to stop to remember there is more to life than the current object of our perceptions. Instead of having to work things out, we can play them out, yielding more aligned outcomes and a greater experience. When we are able to remember the vast connection that exists, the illusions we live become more and more apparent. Greater awareness of the messages and engagement in the dialogue allows us to laugh with the heavens at ourselves at life and our seriousness.