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Taschenbuch. Zustand: Neu. Neuware -Since their discovery hundreds of years ago, people have been fascinated by the wondrous properties of Fibonacci numbers. Being of mathematical significance in their own right, Fibonacci numbers have had an impact on areas like art and architecture, and their traces can be found in nature and even the behavior of the stock market. Starting with the basic properties of Fibonacci numbers, the present book explores their relevance in number theory, the theory of continued fractions, geometry and approximation theory. Rather than giving a complete account of the subject, a few chosen examples are treated exhaustively. They not only reveal the bearing of Fibonacci numbers on mathematics, but also provide very readable marvels of mathematical reasoning. This book is the translation of the 6th Russian edition (the first edition appeared in the early fifties and became a standard source of information on the subject).Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 192 pp. Englisch.

Buch. Zustand: Neu. Neuware -We offer the reader of this book some specimens of 'infinity' that we seized from the 'mathematical jungle' and trapped within the solid cage of analysis The creation of the theory of singular integral equations in the mid 20th century is associated with the names of N.1. Muskhelishvili, F.D. Gakhov, N.P. Vekua and their numerous students and followers and is marked by the fact that it relied principally on methods of complex analysis. In the early 1960s, the development of this theory received a powerful impulse from the ideas and methods of functional analysis that were then brought into the picture. Its modern architecture is due to a constellation of brilliant mathemati cians and the scientific collectives that they produced (S.G. Mikhlin, M.G. Krein, B.V. Khvedelidze, 1. Gohberg, LB. Simonenko, A. Devinatz, H. Widom, R.G. Dou glas, D. Sarason, A.P. Calderon, S. Prossdorf, B. Silbermann, and others). In the ensuing period, the Fredholm theory of singular integral operators with a finite index was completed in its main aspects in wide classes of Banach and Frechet spaces.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 316 pp. Englisch.

Buch. Zustand: Neu. Neuware -HMG-CoA reductase inhibitors (statins) are established drugs for thetreatment of hypercholesterolemia. Furthermore, they induce regressionof vascular atherosclerosis as well as reduction ofcardiovascular-related morbidity and death in patients with and withoutcoronary artery disease. This book deals with statins which havesubstantially altered the approach to therapy of atherosclerosis and itssequelae. Emphasis is placed on the scientific background to thediscoveries and the development of the therapy, including an overview ofthe current state of knowledge of the drugs. Clinical data are reviewedextensively. This book not only provides the reader with valuableinformation but also stimulates further research into the pathogenesisof atherosclerosis and the mechanisms behind the action of effectivestatins. It sets the stage for creative thinking among scientists ofmany disciplines for the accomplishment of our ultimate goals intreating atherosclerosis and its sequelae. This topical volume.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 164 pp. Englisch.