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C. F. GauS in a letter from Dec. 26, 1823 to Gerling: 3c~ empfe~le 3~nen biegen IDlobu9 aur 9tac~a~mung. ec~werlic~ werben eie ie wieber bi reet eliminiren, wenigftens nic~t, wenn eie me~r als 2 Unbefannte ~aben. :Da9 inbirecte 93erfa~ren 109st sic~ ~alb im ec~lafe ausfii~ren, ober man fann wo~renb be9gelben an anbere :Dinge benfen. [CO F. GauS: Werke vol. 9, Gottingen, p. 280, 1903] What difference exists between solving large and small systems of equations? The standard methods well-known to any student oflinear algebra are appli cable to all systems, whether large or small. The necessary amount of work, however, increases dramatically with the size, so one has to search for algo rithms that most efficiently and accurately solve systems of 1000, 10,000, or even one million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretisation of partial differential equations. In this case, the matrices are sparse (i. e. , they contain mostly zeros) and well-suited to iterative algorithms. Because of the background in partial differential equa tions, this book is closely connected with the author's Theory and Numerical Treatment of Elliptic Differential Equations, whose English translation has also been published by Springer-Verlag. This book grew out of a series of lectures given by the author at the Christian-Albrecht University of Kiel to students of mathematics.

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155,93 € *

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In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature. The necessary amount of work increases dramatically with the size of systems, so one has to search for algorithms that most efficiently and accurately solve systems of, e.g., several million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretization of partial differential equations. In this case, the matrices are sparse (i.e., they contain mostly zeroes) and well-suited to iterative algorithms. The first edition of this book grew out of a series of lectures given by the author at the Christian-Albrecht University of Kiel to students of mathematics. The second edition includes quite novel approaches.

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96,29 € *

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Anbieter: Dodax

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Seminar paper from the year 2008 in the subject Economics - Finance, grade: 1,7, Christian-Albrechts-University of Kiel, language: English, abstract: There is a long tradition of scholars seeking to understand the distributional regularities of financial returns. Research traces back to the turn of the 19th century. Since then, it underwent a lot of drastic changes, which are to be shown in this paper. The aim of this paper is to show theoretical models that account for the distributional regularities in financial returns as well as to illustrate the empirical analysis. It is necessary to understand the evolution of research on this topic because it came about in a consecutive manner. Thus, this paper will document over one hundred years of research on distributional properties of financial returns. The second chapter will start with the results of Louis Bachelier and his normal distribution hypothesis. Then it will describe Benoît Mandelbrot's groundbreaking results, which rejected Bachelier's normal hypothesis and introduced the Lévy-stable distributions. Mandelbrot's work had such an impact that it will be described in greater detail. The third chapter will present the results of research that followed after Mandelbrot's findings. It will also display and explain the results of recent research.

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Bachelor Thesis from the year 2011 in the subject English Language and Literature Studies - Linguistics, grade: 1,3, Christian-Albrechts-University of Kiel (Englisches Seminar), language: English, abstract: This paper aims at a closer examination of aspectuality in English. It illustrates the importance of a category which has only scarcely received attention in the study of the English language (cf. Binnick 1991). When it comes to the analysis of situations, the focus is on the verbal category 'tense,' which relates the temporal location of the situation to other points in time. The category of 'aspect' is closely connected to tense, because it provides important information about the internal temporal structure of situations. Nonetheless it is often less familiar to speakers of the English language, referring to, among others, the works of Comrie (1967), Brinton (1988), Binnick (1991) and Kortmann (1991). According to their studies, English lacks formal markers of aspect, whereas the realization of tense in English is quite obvious and thus much discussed. 1.1 Central Questions Based on Binnick's (1991) description of 'aspectuality,' it is necessary to clarify this concept in detail. The central questions for this examination will be: 1. How can aspectuality be inferred from utterances when English lacks aspectual markers? 2. Are there systematic approaches that are concerned with the interaction of 'aspect' and 'Aktionsart' as defined by Comrie (1976) and Vendler (1957)? 3. In which ways do aspectual properties influence or change the semantic meaning of utterances and why? 4. What are the combination options of aspectual perspectives and properties and are there any restrictions consequent on the interaction of different aspectual values? This paper serves not just to answer these questions, but also tries to differentiate between the various subcategories of aspectuality,' which are in general difficult to distinguish properly. [...]

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This early work by Franz Boas was originally published in 1897 and we are now republishing it with a brand new introductory biography. 'The Decorative Art of the Indians of the North Pacific Coast' is an analysis of the various carving techniques and symbolism present in Native American art. Franz Boas was born on July 9th 1958, in Minden, Westphalia. Even though Boas had a passion the natural sciences, he enrolled at the University at Kiel as an undergraduate in Physics. Boas completed his degree with a dissertation on the optical properties of water, before continuing his studies and receiving his doctorate in 1881. Boas became a professor of Anthropology at Columbia University in 1899 and founded the first Ph.D program in anthropology in America. He was also a leading figure in the creation of the American Anthropological Association (AAA). Franz Boas had a long career and a great impact on many areas of study. He died on 21st December 1942.

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179,00 CHF *

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Anbieter: Orell Fuessli CH

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162,90 CHF *

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Anbieter: Thalia AT

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