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.

Astronomer Joseph Silk explores the Universe from its beginnings to its ultimate fate. He demonstrates how cosmologists study cosmic fossils and relics from the distant past to construct theories of the birth, evolution and future of the Universe. Stars, galaxies, dark matter and dark energy are described, as successive chapters detail the evolution of the Universe from a fraction of a microsecond after the Big Bang. Silk describes how physicists apply theories of subatomic particles to recreate the first moments of the Big Bang, and how astronomers chart the vast depths of space to glimpse how the most distant galaxies formed. He gives an account of the search for dark matter and the dark energy that will determine the ultimate fate of the Universe. Joseph Silk is the Savilian Professor of Astronomy and Head of the Astrophysics Department at the University of Oxford. He was previously Professor of Astronomy at the University of California, Berkeley. He holds a BA in Mathematics from Clare College, Cambridge, and a PhD in Astronomy from Harvard University. Silk is the author, or co-author, of many books, including The Left Hand of Creation (Basic Books, 1994) and A Short History of the Universe (WH Freeman, 1997). He is a Fellow of the Royal Society, the American Physical Society, and the American Association for the Advancement of Science.

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.

'Includes exciting recent advances in studying gravity and its cosmic manifestations.' Lord Martin Rees, Astronomer Royal, former President of the Royal Society A fascinating historical account of how we have reached our current understanding of gravity. There have been sensational developments in gravitational physics in recent years. The detection of gravitational waves - ripples in the fabric of space - has opened a new window on the universe. These waves are produced by the most cataclysmic events in the universe - the collisions and mergers of black holes and neutron stars. There have also been great strides in our understanding of supermassive black holes. We now know that a black hole with a gargantuan mass lies at the heart of every galaxy, and we even have an image of one such beast. Gravity: From Falling Apples to Supermassive Black Holes provides an engaging and accessible account of how we have reached our current understanding of gravity and places these amazing discoveries in their true context. Gravity: From Falling Apples to Supermassive Black Holes is written in a captivating historical style with stories about the researchers of the past and present that illuminate many key ideas in astronomy and physics. The historical material leads from discussions of the early cosmologies to the great breakthroughs of Tycho and Kepler. We then consider Galileo's contributions to astronomy and mechanics, and the significance of Jeremiah Horrocks's ideas to the Newtonian revolution that would follow. Newton's theories brought about a new scientific age and his description of gravity was unrivalled for over two centuries until it was superseded by Einstein's description in terms of curved spacetime. The outlandish predictions of Einstein's theory have been confirmed again and again, including black holes and gravitational waves. Finally, we move on to more speculative ideas including Hawking radiation and primordial black holes and attempts to find a quantum theory of gravity.

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.

This book explores the great ontological question, namely, what is the meaning of life. And it's in two parts. The first part looks at psychological, philosophical, sociological and spiritual theories, which includes witchcraft. This sets the stage for part two, which addresses religion, politics, prophecy, aliens/UFOs, and scientific explanations for our existence. The mind is the common thread that links the chapters. Fundamentally, we're on the brink of a New World Order that's been orchestrated by Satan and for Satan. He's on his sordid way. Thus, it bodes well to be prepared for the coming great deception.