In den letzten Dekaden hat das Gebiet der klassischen dynamischen Systeme eine beachtliche Renaissance erlebt, und manches, was beim erst en Erscheinen dieses Kur- ses als mathematisch zu hochgestochen erschien, ist heute Gemeingut der aktiven Physiker geworden. Das Ziel der Neuauflage ist es, . dieser Entwicklung zu dienen, indem ich versucht habe, das Buch leserfreundlicher zu gestalten und Fehler auszu- merzen. Da schon die erste Auflage ffir eine einsemestrige Vorlesung reichlich beladen war, wurde neues Material nur in dem Mafie aufgenommen, als anderes weggelassen oder vereinfacht werden konnte. Eine Erweiterung muf3te jedoch das Kapitel mit dem Be- weis des KAM-Satzes erfahren, urn dem neuen Trend in der Physik Rechnung zu tragen. Dieser besteht nicht nur in der Verwendung feinerer mathematischer Hilfs- mittel, sondern auch in einer Neubewertung des Wortes "fundamental". Was frfiher als Schmutzeffekt abgetan wurde, erscheint heute als Folge eines tieferen Prinzips. Ja so- gar diese Keplerschen Gesetze, welche die Radien der Planetenbahnen bestimmen und die man als mystischen Unsinn gerne verschwieg, scheinen in Richtung einer Wahrheit zu deuten, die sich oberflachlicher Betrachtung verschlief3t: SchachteluI). g vollkomme- ner platonischer Korper ffihrt zu Verhaltnissen von Radien, die irrational sind, aber algebraischen Gleichungen niederer Ordnung genfigen. Gerade solche Irrationalzahlen lassen sich am schlechtesten durch rationale approximieren, und Bahnen mit diesem Radiusverhaltnis sind gegenfiber gegenseitigen Storungen am robustesten, da sie am wenigsten unter Resonanzeffekten leiden. In letzter Zeit wurden einige fiberraschende Resultate fiber chaotische Systeme gefunden, doch hat ten deren Beweise leider den Rahmen dieses Buches gesprengt und muf3ten unterbleiben.

This is a study of atomic nuclei, the properties of which find applications in diverse fields such as medicine and the generation of nuclear power. The explanations of nuclear structure and nuclear reactions in terms of constituent particles led to the discovery of new unstable particles culminating in the unified theory of electromagnetic and weak-nuclear interactions. In this new edition the author has updated the information and included a section on the relevance of recent discoveries to cosmology. Advances in accelerator and detector technology are noted and there is an account of nuclear reactions. Mathematical material is mostly to be found in the appendices. This book may be used as a first student text for courses in nuclear physics.

Is there any connection between the vastness of the universe of stars and galaxies and the existence of life on a small planet out in the suburbs of the Milky Way?

This book shows that there is. In a classic work, John Barrow and Frank Tipler examine the question of Mankind's place in the Universe, taking the reader on a tour of many scientific disciplines and offering fascinating insights into issues such as the nature of life, the search for extraterrestrial intelligence, and the past history and fate of our universe.

This dictionary consists of text and tables, covering all of the areas that are fundamental to understanding our physical world, and life within it. Included are physics - classical, relativistic, quantum, particle, and high-energy; chemistry - inorganic, organic, and physical; the geological sciences - geology, geophysics, oceanography, meteorology, palaeontology, and related areas of molecular, genetic, and evolutionary biology; and cosmology - including astronomy, astrophysics, and the genesis and evolution of the universe. The text features not only definitions but also explanations, formulas, and data. Entries best presented in tabular form are found in 70 tables that follow the text. The 5,000 definitions are both concise and rigorous, abbreviations are spelled out, and unfamiliar terms are themselves defined.

Brian Greene's The Hidden Reality: Parallel Universes and the Deep Laws of the Cosmos explores our most current scientific understanding of the universe, the 'string theory' that might hold the key to unifying nature's laws, and our continuing quest to know more. There was a time when 'universe' meant all there is. Everything. Yet, as physicist Brian Greene's extraordinary book shows, ours may be just one universe among many, like endless reflections in a mirror. He takes us on a captivating exploration of parallel worlds - from a multiverse where an infinite number of your doppelgangers are reading this sentence, to vast oceans of bubble universes and even multiverses made of mathematics - showing just how much of reality's true nature may be hidden within them. 'If extraterrestrials land tomorrow and demand to know what the human mind is capable of accomplishing ... hand them a copy of this book' The New York Times Book Review 'A writer of exceptional clarity and charm ... every chapter opens level after level of previously unimaginable, mind-expanding realities' Oliver Sacks 'The book serves well as an introduction to the multiverse and will open up many people's eyes' John Gribbin Brian Greene is well known to many fans as a populariser of theoretical physics. He is the author of the bestselling books about string theory, The Elegant Universe, which was a finalist for the Pulitzer Prize for nonfiction, The Fabric of the Cosmos, and The Hidden Reality. Educated at Harvard and Oxford, he has taught at both Harvard and Cornell and has been Professor of Physics and Mathematics at Columbia University since 1996.

The large-scale structure of the Universe is dominated by vast voids with galaxies clustered in knots, sheets, and filaments, forming a great 'cosmic web'. In this personal account of the major astronomical developments leading to this discovery, we learn from Laird A. Thompson, a key protagonist, how the first 3D maps of galaxies were created. Using non-mathematical language, he introduces the standard model of cosmology before explaining how and why ideas about cosmic voids evolved, referencing the original maps, reproduced here. His account tells of the competing teams of observers, racing to publish their results, the theorists trying to build or update their models to explain them, and the subsequent large-scale survey efforts that continue to the present day. This is a well-documented account of the birth of a major pillar of modern cosmology, and a useful case study of the trials surrounding how this scientific discovery became accepted.

In The Accidental Universe renowned expositor Paul Davies grapples with the most fundamental questions of all. What is our purpose and the purpose of the universe? Are both an accident of nature? Paul Davies guides us through the mysterious coincidences underlying the structure and properties of the universe we inhabit. He sets out the intriguing hypothesis that the appearance of the universe and its properties are highly contrived. Paul Davies gives a survey of the range of apparently miraculous accidents of nature that have enabled the universe to evolve its familiar structure of atoms, stars, galaxies and life itself. This remarkable book concludes with an investigation of the anthropic principle, which postulates that much of what we observe around us is a consequence of the presence of observers in the universe. This thesis of a cosmic biological selection effect is fiercely debated among scientists and is here set out clearly for a general readership.

For most of human history, 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 religious beliefs, power structures, scientific advances and even our biology. But over the last few centuries we have separated ourselves from the universe that surrounds us. And that disconnect comes at a cost. In The Human Cosmos Jo Marchant takes us on a tour through the history of humanity's relationship with the heavens. We travel to the Hall of the Bulls in Lascaux and witness the winter solstice at a 5,000-year-old tomb at Newgrange. We 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. And we discover why stargazing can be really, really good for us. It is time for us to rediscover the full potential of the universe we inhabit, its wonder, its effect on our health, and its potential for inspiration and revelation.