springer basel mai 1998 (3 results)

Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book covers Lebesgue integration and its generalizations from Daniell's point of view, modified by the use of seminorms. Integrating functions rather than measuring sets is posited as the main purpose of measure theory. From this point of view Lebesgue's integral can be had as a rather straightforward, even simplistic, extension of Riemann's integral; and its aims, definitions, and procedures can be motivated at an elementary level. The notion of measurability, for example, is suggested by Littlewood's observations rather than being conveyed authoritatively through definitions of (sigma)-algebras and good-cut-conditions, the latter of which are hard to justify and thus appear mysterious, even nettlesome, to the beginner. The approach taken provides the additional benefit of cutting the labor in half. The use of seminorms, ubiquitous in modern analysis, speeds things up even further. The book is intended for the reader who has some experience with proofs, a beginning graduate student for example. It might even be useful to the advanced mathematician who is confronted with situations - such as stochastic integration - where the set-measuring approach to integration does not work. 212 pp. Englisch.

Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In a coherent, exhaustive and progressive way, this book presents the tools for studying local bifurcations of limit cycles in families of planar vector fields. A systematic introduction is given to such methods as division of an analytic family of functions in its ideal of coefficients, and asymptotic expansion of non-differentiable return maps and desingularisation. The exposition moves from classical analytic geometric methods applied to regular limit periodic sets to more recent tools for singular limit sets.The methods can be applied to theoretical problems such as Hilbert's 16th problem, but also for the purpose of establishing bifurcation diagrams of specific families as well as explicit computations.- - -The book as a whole is a well-balanced exposition that can be recommended to all those who want to gain a thorough understanding and proficiency in the recently developed methods. The book, reflecting the current state of the art, can also be used for teaching special courses. (Mathematical Reviews) 228 pp. Englisch.

Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume of Progress in Inflammation Research is a unique compilation of work performed by a wide spectrum of investigators from different medical disciplines. It is fascinating that dietary alterations of fatty acid intake can result in a range of salutory changes in a great variety of medical conditions. Most of the good scien tific work which has led to these observations has been performed over just the last two decades. This is of course not a very long time in the context of the history of the human species. Recently performed analysis of fat intake from paleolithic times has indicated that our hunter-gatherer ancestors consumed as much cholesterol as modern Western man, but strikingly less saturated fatty acid and more polyunsatu rates, including n-3 fatty acids. Wild game has the terrestrial source of n-3 incorpo rated in its fat since browsing animals derive 18:3n-3 (alpha-linolenic acid) natural ly from leafy plants. There is, however, little opportunity for modern Western man to get n-3 fatty acids from the diet if one does not consume fish. Modern agribusiness provides ani mal feeds high in n-6 fatty acids, mostly derived from linoleic acid (18:2n-6) in corn feed. Therefore, grazing animals have no access to alternative fatty acids in either feed or grasses, the latter containing little or none of these potentially beneficial highly polyunsaturated fatty acids. 148 pp. Englisch.