Although it presents the main ideas of quantum theory essentially in nonmathematical terms, it follows these with a broad range of specific applications that are worked out in considerable mathematical detail. Addressed primarily to advanced undergraduate students, the text begins with a study of the physical formulation of the quantum theory, from its origin and early development through an analysis of wave vs. particle properties of matter. In Part II, Professor Bohm addresses the mathematical formulation of the quantum theory, examining wave functions, operators, Schrödinger's equation, fluctuations, correlations, and eigenfunctions.Part III takes up applications to simple systems and further extensions of quantum theory formulation, including matrix formulation and spin and angular momentum. Parts IV and V explore the methods of approximate solution of Schrödinger's equation and the theory of scattering. In Part VI, the process of measurement is examined along with the relationship between quantum and classical concepts.Throughout the text, Professor Bohm places strong emphasis on showing how the quantum theory can be developed in a natural way, starting from the previously existing classical theory and going step by step through the experimental facts and theoretical lines of reasoning which led to replacement of the classical theory by the quantum theory.

    Jo Marchant's book can begin to heal it. For at least 20,000 years, we have led not just an earthly existence but a cosmic one. Celestial cycles drove every aspect of our daily lives. Our innate relationship with the stars shaped who we are--our art, religious beliefs, social status, scientific advances, and even our biology. But over the last few centuries we have separated ourselves from the universe that surrounds us. It's a disconnect with a dire cost.Our relationship to the stars and planets has moved from one of awe, wonder and superstition to one where technology is king--the cosmos is now explored through data on our screens, not by the naked eye observing the natural world. Indeed, in most countries modern light pollution obscures much of the night sky from view. Jo Marchant's spellbinding parade of the ways different cultures celebrated the majesty and mysteries of the night sky is a journey to the most awe inspiring view you can ever see--looking up on a clear dark night. That experience and the thoughts it has engendered have radically shaped human civilization across millennia. The cosmos is the source of our greatest creativity in art, in science, in life.To show us how, Jo Marchant takes us to the Hall of the Bulls in the caves at Lascaux in France, and to the summer solstice at a 5,000-year-old tomb at New Grange in England. We discover Chumash cosmology and visit medieval monks grappling with the nature of time and Tahitian sailors navigating by the stars. We discover how light reveals the chemical composition of the sun, and we are with Einstein as he works out that space and time are one and the same. A four-billion-year-old meteor inspires a search for extraterrestrial life. The cosmically liberating, summary revelation is that star-gazing made us human.

    Enjoy a thrilling intergalactic tour as Andrew Thomas redefines the force of gravity and introduces a brave new view of the universe!

    The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement"Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

    This authoritative yet accessible study is the ultimate astronomy lesson. Combining fascinating and often alarming scenarios that seem plucked from science fiction with the latest research and opinions, Plait illustrates why outer space is not as remote as most people think. Each chapter explores a different phenomenon, explaining it in easy-to-understand terms, and considering how life on earth and the planet itself would be affected should the event come to pass. Rather than sensationalizing the information, Plait analyzes the probability of these catastrophes occurring in our lifetimes and what we can do to stop them. With its entertaining tone and enlightening explanation of unfathomable concepts, Death from the Skies! will appeal to science buffs and beginners alike.

    No man is harder than police chief Theodore Graves, and no man is more determined to keep his uncle's ranch in the family instead of being sold to developers—but one woman might be. The ranch was coowned by Jillian Sanders's uncle, and she's just as resolved to stay on the ranch. The only problem is she and Theodore fight like cats and dogs. And their uncles' wills stipulate that in order to keep the land, they must be married…  FREE BONUS STORY INCLUDED IN THIS VOLUME!  Texas Wild by New York Times bestselling author Brenda Jackson Megan Westmoreland needs answers about her family's past, and Rico Claiborne is the man to find them. But when the truth comes out, will Rico offer her more than a shoulder to lean on?

    According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In The Shape of Inner Space, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe.Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau’s penetrating thinking on where we’ve been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.

    Even as a teenager, experimenting in his own laboratory, he was impressed by the logic and materiality of the universe, which is governed by a small number of disembodied forces and laws. Those laws decree that all things in the world are material and impermanent. But one summer evening, while looking at the stars from a small boat at sea, Lightman was overcome by the overwhelming sensation that he was merging with something larger than himself--a grand and eternal unity, a hint of something absolute and immaterial. Searching for Stars on an Island in Maine is the result of these seemingly contradictory impulses, written as an extended meditation on an island in Maine, where Lightman and his wife spend their summers. Framing the dialogue between religion and science as a contrast between absolutes and relatives, Lightman explores our human quest for truth and meaning and the different methods of religion and science in that quest. Along the way, he draws from sources ranging from St. Augustine's conception of absolute truth to Einstein's relativity, from a belief in the divine and eternal nature of stars to their discovered materiality and mortality, from the unity of the once indivisible atom to the multiplicity of subatomic particles and the recent notion of multiple universes. What emerges is not only an understanding of the encounter between science and religion but also a profound exploration of the complexity of human existence.

    Now, in an exciting, fast-paced historical narrative ranging across two centuries, Mark Ronan takes us on an exhilarating tour of this final mathematical quest. Ronan describes how the quest to understand symmetry really began with the tragic young genius Evariste Galois, who died at the age of 20 in a duel. Galois, who spent the night before he died frantically scribbling his unpublished discoveries, used symmetry to understand algebraic equations, and he discovered that there were building blocks or atoms of symmetry. Most of these building blocks fit into a table, rather like the periodic table of elements, but mathematicians have found 26 exceptions. The biggest of these was dubbed the Monster--a giant snowflake in 196,884 dimensions. Ronan, who personally knows the individuals now working on this problem, reveals how the Monster was only dimly seen at first. As more and more mathematicians became involved, the Monster became clearer, and it was found to be not monstrous but a beautiful form that pointed out deep connections between symmetry, string theory, and the very fabric and form of the universe. This story of discovery involves extraordinary characters, and Mark Ronan brings these people to life, vividly recreating the growing excitement of what became the biggest joint project ever in the field of mathematics. Vibrantly written, Symmetry and the Monster is a must-read for all fans of popular science--and especially readers of such books as Fermat's Last Theorem.

    The book begins with relevant scientific fundamentals and progresses through an exploration of the solar system, stars, galaxies, and cosmology. The Astronomy textbook builds student understanding through the use of relevant analogies, clear and non-technical explanations, and rich illustrations. Mathematics is included in a flexible manner to meet the needs of individual instructors.

    With the Big Bang, it went from a state of unimaginable density to an all-encompassing cosmic fireball to a simmering fluid of matter and energy, laying down the seeds for everything from dark matter to black holes to one rocky planet orbiting a star near the edge of a spiral galaxy that happened to develop life. But what happens at the end of the story? In billions of years, humanity could still exist in some unrecognizable form, venturing out to distant space, finding new homes and building new civilizations. But the death of the universe is final. What might such a cataclysm look like? And what does it mean for us? Dr. Katie Mack has been contemplating these questions since she was eighteen, when her astronomy professor first informed her the universe could end at any moment, setting her on the path toward theoretical astrophysics. Now, with lively wit and humor, she unpacks them in The End of Everything, taking us on a mind-bending tour through each of the cosmos’ possible finales: the Big Crunch; the Heat Death; Vacuum Decay; the Big Rip; and the Bounce. In the tradition of Neil DeGrasse’s bestseller Astrophysics for People in a Hurry, Mack guides us through major concepts in quantum mechanics, cosmology, string theory, and much more, in a wildly fun, surprisingly upbeat ride to the farthest reaches of everything we know.

    Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

     But Drake’s exploits in his earlier years, though less well known, are even more remarkable. Born into a poor, obscure family, he worked his way rapidly up in the maritime world to his first captaincy. Before long, he was the most successful of all English pirates, admired by his countrymen, hated and feared by the Spanish. Queen Elizabeth and her ministers saw the potential in this rough-mannered but enterprising young man, and gave him their blessing for the first British venture into the Pacific Ocean. This success of this voyage, which lasted for three years, exceeded their wildest hopes. Not only did Drake come home with a vast treasure of captured gold, silver and jewels; he became the first man ever to circumnavigate the globe in a single mission, and bring most of his crew home alive and well. Soon after his triumphant return, Elizabeth knighted this newly rich adventurer, and gave her blessing to his acts of pillage. It was a gesture that made war with Spain inevitable. And Drake’s part in the coming war changed the course of world history. SIR FRANCIS DRAKE: THE QUEEN’S PIRATE tells the extraordinary story of Drake’s early years and his journey around the world on his famous ship, the Golden Hind.

    Above all, perhaps, Rutherford and the young men working under him were the first to split the atom, unlocking tremendous forces—forces, as Rutherford himself predicted, that would bring us the atomic bomb.Rutherford, awarded a Nobel Prize and made Baron Rutherford by the queen of England, was also a great ambassador of science, coming to the aid of colleagues caught in the Nazi and Soviet regimes. Under Rutherford’s rigorous and boisterous direction, a whole new generation of remarkable physicists emerged. In Richard Re’s hands, Rutherford leaps off the page, a ruddy, genial man and a towering figure in scientific history.

    Those that have liquid water. And maybe even life.She wonders how we might be able to take the our first ever high resolution picture of an exoplanet using the microchips found in mobile phones. And she meets world-leading astrophysicists to ask if within our lifetimes humans might step foot on an earth-like planet.An ITN production for Audible Originals.