Dynamical systems theory is especially well-suited for determining the possible asymptotic states (at both early and late times) of cosmological models, particularly when the governing equations are a finite system of autonomous ordinary differential equations. In this book we discuss cosmological models as dynamical systems, with particular emphasis on applications in the early Universe. We point out the important role of self-similar models. We review the asymptotic properties of spatially homogeneous perfect fluid models in general relativity. We then discuss results concerning scalar field models with an exponential potential (both with and without barotropic matter). Finally, we discuss the dynamical properties of cosmological models derived from the string effective action. This book is a valuable source for all graduate students and professional astronomers who are interested in modern developments in cosmology.
This book is devoted to a classical topic that has undergone rapid and fruitful development over the past 25 years, namely Backlund and Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory. The book consists of two parts. The first is a series of introductory pedagogical lectures presented by leading experts in the field. They are devoted respectively to Backlund transformations of Painleve equations, to the dressing methodand Backlund and Darboux transformations, and to the classical geometry of Backlund transformations and their applications to soliton theory. The second part contains original contributions that represent new developments in the theory and applications of these transformations. Both the introductorylectures and the original talks were presented at an International Workshop that took place in Halifax, Nova Scotia (Canada). This volume covers virtually all recent developments in the theory and applications of Backlund and Darboux transformations.
Bald nach Erscheinen des Bandes "Geschwülste" "Geschwiilste" 1956 1956 wurde wurde deutlich, deutlich, daß daB dies dies nur ein Anfang gewesen sein konnte. Die grundlegenden Beitrage Beiträge dieses Bandes spiegelten den Wissensstand am Beginn des 6. Jahrzehnts wider. Sie waren wahrscheinlich zugleich die letzten echten Handbuchbeitrage Handbuchbeiträge zu diesem Thema: umfassend und enzyklopadisch enzyklopädisch vollständig vollstandig und trotzdem als Ganzes lesbar, verfaßt verfaBt von den damals besten Sachkennern in Deutschland. Inzwischen hat sich das Handbuch der Allgemeinen Pathologie gewandelt. Entsprechend der Weitung des Faches vergrößerten vergroBerten sich die Themen. Neben den Bänden Banden tiber über die die Organe Organe zum zum Hilfsmechanismus Hilfsmechanismus des des Stoffwechsels, Stoffwechsels, tiber über die die Zelle, Zelle, das das Altern Altern usw. usw. nahm sich der Geschwulstband vergleichsweise bescheiden aus. Das steht im Gegensatz zur Stellung des Geschwulstproblems in der Allgemeinen Pathologie. Die Krebsforschung erfuhr gerade in den letzten beiden Jahrzehnten einen vorher nicht geahnten Aufschwung, so daß daB eine eine enzyklopädische enzyklopadische Zusammenfassung Zusammenfassung heute heute den den Umfang Umfang des des gesamten gesamten Handbuches Handbuches einnehmen einnehmen würde wtirde -- wenn wenn sich sich jemand fände, rande, das das zu zu versuchen. versuchen. Und wenn der letzte Band gedruckt wäre, ware, ware wäre der erste hoffnungslos veraltet.
Alchemists were really able to produce gold. Here are their stories and those of modern scientific researchers who have obtained the same result: researches, evidences and (true) procedures to make gold.
Packed with detailed information as well as color photos and maps, the "AA Guides to Britain" are the most complete and up-to-date guides to Britain's accommodations, golf courses, restaurants, and pubs. Visitors' details include hours, prices, directions, suitability for families, insider tips, and more.
This is the 2007 guide to Britain's good food. It features over 1800 selected restaurants - from village inns and small local restaurants to castles and country-house hotels - professionally inspected and awarded from one to five rosettes.
Dynamical systems theory is especially well-suited for determining the possible asymptotic states (at both early and late times) of cosmological models, particularly when the governing equations are a finite system of autonomous ordinary differential equations. In this book we discuss cosmological models as dynamical systems, with particular emphasis on applications in the early Universe. We point out the important role of self-similar models. We review the asymptotic properties of spatially homogeneous perfect fluid models in general relativity. We then discuss results concerning scalar field models with an exponential potential (both with and without barotropic matter). Finally, we discuss the dynamical properties of cosmological models derived from the string effective action. This book is a valuable source for all graduate students and professional astronomers who are interested in modern developments in cosmology.
This book is devoted to a classical topic that has undergone rapid and fruitful development over the past 25 years, namely Backlund and Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory. The book consists of two parts. The first is a series of introductory pedagogical lectures presented by leading experts in the field. They are devoted respectively to Backlund transformations of Painleve equations, to the dressing methodand Backlund and Darboux transformations, and to the classical geometry of Backlund transformations and their applications to soliton theory. The second part contains original contributions that represent new developments in the theory and applications of these transformations. Both the introductorylectures and the original talks were presented at an International Workshop that took place in Halifax, Nova Scotia (Canada). This volume covers virtually all recent developments in the theory and applications of Backlund and Darboux transformations.
This is a book of reflections by A.A. members for A.A. members. It was first published in 1990 to fulfill a long-felt need within the Fellowship for a collection of reflections that moves through the calendar year--one day at a time. Each page contains a reflection on a quotation from A.A. Conference-approved literature, such as Alcoholics Anonymous, Twelve Steps and Twelve Traditions, As Bill Sees It and other books. These reflections were submitted by members of the A.A. Fellowship who were not professional writers, nor did they speak for A.A. but only for themselves, from their own experiences in sobriety. Thus the book offers sharing, day by day, from a broad cross section of members, which focuses on the Three Legacies of Alcoholics Anonymous: Recovery, Unity and Service. Daily Reflections has proved to be a popular book that aids individuals in their practice of daily meditation and provides inspiration to group discussions even as it presents an introduction for some to A.A. literature as a whole.
First published in 1939, this resource sets forth cornerstone concepts of recovery from alcoholism and tells the stories of men and women who have overcome the disease.
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