This book is concerned with two tightly knit topics — those of mathematics and astronomy. Its focus is primarily concerned with planetary astronomy, and specifically the history of accounting for the spacing of planetary orbits. The story begins with the ancient Greek philosophers and continues to the modern era and the new data being gleaned from the study of exoplanetary systems. Throughout the text, the manner in which mathematical theory has been used to decipher, and impose order upon the solar system, will be examined. Attention and discussion will be directed towards the so-called Titius-Bode rule, a long-standing ordering principle, that in fact it has no physical underpinning or explanation.The story presented will look at how humanity has learned about the workings of the solar system, and it will look at the philosophical problems that arise when mathematical exposition leads observation. Furthermore, the fundamental role of mathematics in the development of physical theory is examined, and it is argued that there are some gaps in our knowledge of the solar system (and the universe) that mathematics and physical theory will never successfully bridge. The text will present material at the informed-amateur scientist, university undergraduate student level.

This book is concerned with two tightly knit topics — those of mathematics and astronomy. Its focus is primarily concerned with planetary astronomy, and specifically the history of accounting for the spacing of planetary orbits. The story begins with the ancient Greek philosophers and continues to the modern era and the new data being gleaned from the study of exoplanetary systems. Throughout the text, the manner in which mathematical theory has been used to decipher, and impose order upon the solar system, will be examined. Attention and discussion will be directed towards the so-called Titius-Bode rule, a long-standing ordering principle, that in fact it has no physical underpinning or explanation.The story presented will look at how humanity has learned about the workings of the solar system, and it will look at the philosophical problems that arise when mathematical exposition leads observation. Furthermore, the fundamental role of mathematics in the development of physical theory is examined, and it is argued that there are some gaps in our knowledge of the solar system (and the universe) that mathematics and physical theory will never successfully bridge. The text will present material at the informed-amateur scientist, university undergraduate student level.

Hurtling through the atmosphere, in a blaze of light and reverberating percussions, the arrival of a meteorite on Earth is a magical, rare, and precious sight. These characteristics have accordingly ensured a long, yet often controversial history. For all this, meteorites are cosmic messengers. They tell us about the entire history of the solar system, their story carrying us from the very earliest moments, when solid material first began to form in the solar nebula. Indeed, meteorites played a key role in the origins of Earth's oceans and the genesis of life. Meteorites additionally tell us about the origin and evolution of the asteroids, and they tell us about impacts upon the Moon as well as the volcanic history of planet Mars. Much is known about the structure and chemistry of meteorites, but for all this, they still harbor many scientific mysteries that have yet to be resolved.

This book follows the historical trail by which humanity has determined the shape and internal structure of the Earth. It is a story that bears on aspects of the history of science, the history of philosophy and the history of mathematics. At the heart of the narrative is the important philosophical practice of performing thought experiments - that is, the art of considering an idealized experiment in the mind. This powerful technique has been used by all the great historical practitioners of science and mathematics, and this book looks specifically at the long history of considering what would happen if an object could be dropped into a tunnel that cuts all the way through the Earth's interior. Indeed, the story begins with a historical whodunit, tracing back through the historical literature the origins of what is now a classic, textbook problem in simple harmonic motion.

This book follows the historical trail by which humanity has determined the shape and internal structure of the Earth. It is a story that bears on aspects of the history of science, the history of philosophy and the history of mathematics. At the heart of the narrative is the important philosophical practice of performing thought experiments - that is, the art of considering an idealized experiment in the mind. This powerful technique has been used by all the great historical practitioners of science and mathematics, and this book looks specifically at the long history of considering what would happen if an object could be dropped into a tunnel that cuts all the way through the Earth's interior. Indeed, the story begins with a historical whodunit, tracing back through the historical literature the origins of what is now a classic, textbook problem in simple harmonic motion.

The word ''terraforming'' conjures up many exotic images and p- hapsevenwildemotions,butatitscoreitencapsulatestheideathat worldscanbechangedbydirecthumanaction.Theultimateaimof terraforming is to alter a hostile planetary environment into one that is Earth-like, and eventually upon the surface of the new and vibrant world that you or I could walk freely about and explore. It is not entirely clear that this high goal of terraforming can ever be achieved, however, and consequently throughout much of thisbooktheterraformingideasthatarediscussedwillapplytothe goal of making just some fraction of a world habitable. In other cases,theterraformingdescribedmightbeaimedatmakingaworld habitablenotforhumansbutforsomepotentialfoodsourcethat,of course, could be consumed by humans. The many icy moons that reside within the Solar System, for example, may never be ideal locationsforhumanhabitation,buttheypresentthegreatpotential for conversion into enormous hydroponic food-producing centers. The idea of transforming alien worlds has long been a literary backdrop for science fiction writers, and many a make-believe planet has succumbed to the actions of direct manipulation and the indomitable grinding of colossal machines. Indeed, there is something both liberating and humbling about the notion of tra- forming another world; it is the quintessential eucatastrophy espoused by J. R. R. Tolkien, the catastrophe that ultimately brings about a better world. When oxygen was first copiously produced by cyanobacterial activity on the Earth some three billion years ago, it was an act of extreme chemical pollution and a eucatastrophy. The original life-nurturing atmosphere was (eventually) changed f- ever, but an atmosphere that could support advanced life forms came about.

As our closest stellar companion and composed of two Sun-like stars and a third small dwarf star, Alpha Centauri is an ideal testing ground of astrophysical models and has played a central role in the history and development of modern astronomy-from the first guesses at stellar distances to understanding how our own star, the Sun, might have evolved. It is also the host of the nearest known exoplanet, an ultra-hot, Earth-like planet recently discovered. Just 4.4 light years away Alpha Centauri is also the most obvious target for humanity's first directed interstellar space probe. Such a mission could reveal the small-scale structure of a new planetary system and also represent the first step in what must surely be humanity's greatest future adventure-exploration of the Milky Way Galaxy itself. For all of its closeness, Centauri continues to tantalize astronomers with many unresolved mysteries, such as how did it form, how many planets does it contain and where are they, and how might we view its extensive panorama directly? In this book we move from the study of individual stars to the study of our Solar System and our nearby galactic neighborhood. On the way we will review the rapidly developing fields of exoplanet formation and detection.

The ability is see is fundamental to our very existence. How true our perceptions really are depends upon many factors, and not least is our understanding of what light is and how it interacts with matter. It was said that the camera, the icon of light recording instruments, never lies, and in the day of the glass plate and celluloid roll-film this might well have been true. But in this modern era, with electronic cameras and computer software, it is often safe to assume that the camera always lies. The advertising images that bombard our every waking moment are manipulated in shape, profile, color, and form. In this new era, light can be manipulated with metamaterials to make one object look like another or even cause that objects to vanish, literally before our eyes; not only can the image we see be manipulated, but so can the light itself.

It may at first seem that the world of subatomic physics is far removed from our every day lives. Isn t it all just a waste of time and taxpayers' money? Hopefully, all who read this book will come to a different conclusion. Collider physics is all about our origins, and this aspect alone makes it worthy of our very best attention. The experiments conducted within the vast collider chambers are at the forefront of humanity s quest to unweave the great tapestry that is the universe. Everything is connected. Within the macrocosm is the microcosm. By knowing how matter is structured, how atoms and elementary particles interact, and what forces control the interactions between the particles, we discover further clues as to why the universe is the way it is, and we uncover glimpses of how everything came into being. The Large Hadron Collider (LHC), in the process of coming online at CERN, is the world s largest and most complex machine. It represents the pinnacle of human ingenuity, and its physical characteristics, costs, and workings astound us at every turn. We are literally humbled by the machine that has been produced through a grand international collaboration of scientists. This book is about what those scientists hope to discover with the LHC, for hopes do run high, and there is much at stake. Careers, reputations and prestigious science prizes will be realized, and possibly lost, in the wake of the results that the LHC will produce. And there are risks, real and imagined. The LHC will probe the very fabric of matter and it will help us understand the very weft and the weave of the universe."

Canadian academic Martin Beech has written a text that attempts to cross the line between science fiction and science fact. Put simply, his book details a method that just might be able to stop the Sun from losing its power and, ultimately, save humanity and the Earth itself. It investigates the idea that the distant future evolution of our Sun might be controlled (or 'asteroengineered') so that it maintains its present-day energy output rather than becoming a bloated red giant star: a process that would destroy all life on Earth.

This method book teaches self-learning and recognition of rhythmic patterns through carefully graduated pieces in a range of styles. Includes teacher/student duets, and accompaniments for both piano and guitar.

The pendulum is perhaps the simplest experimental devices ever constructed, and yet for all its simplicity it has historically enabled scientists to both investigate and enumerate gravity; the fundamental force that shapes the very universe. The pendulum has also allowed astronomers and geologists to measure the motion, mass and distribution of matter within the Earth, and its stately swing is at the very heartbeat of time. This book explores the many applications of the pendulum, from its employment as a fundamental experimental device, such as in the Cavendish torsion balance for measuring the universal gravitational constant, to its everyday, practical use in geology, astronomy and horology.