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While Volume I (by W.A.J. Luxemburg and A.C. Zaanen, NHML Volume 1, 1971) is devoted to the algebraic aspects of the theory, this volume emphasizes the analytical theory of Riesz spaces and operators between these spaces. Though the numbering of chapters continues on from the first volume, this does not imply that everything covered in Volume I is required for this volume, however the two volumes are to some extent complementary.
Anneke and Hans are nine year old twins and best friends who learn while having adventures in North Holland. These thirty short stories include virtues, social issues such as bullying, dealing with grief, and safety while swimming. Stories can be used as lessons in the classroom. Each tale includes an illustration of an animal that lives in The Netherlands, identified in an index. Another index lets the reader know what topics and virtues are included in each story. Upper elementary reading level. Every story is a life lesson. 18,600 words. 146 pages.
History of Functional Analysis presents functional analysis as a rather complex blend of algebra and topology, with its evolution influenced by the development of these two branches of mathematics. The book adopts a narrower definition—one that is assumed to satisfy various algebraic and topological conditions. A moment of reflections shows that this already covers a large part of modern analysis, in particular, the theory of partial differential equations. This volume comprises nine chapters, the first of which focuses on linear differential equations and the Sturm-Liouville problem. The succeeding chapters go on to discuss the ""crypto-integral"" equations, including the Dirichlet princi...
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Graph Theory has proved to be an extremely useful tool for solving combinatorial problems in such diverse areas as Geometry, Algebra, Number Theory, Topology, Operations Research and Optimization. It is natural to attempt to generalise the concept of a graph, in order to attack additional combinatorial problems. The idea of looking at a family of sets from this standpoint took shape around 1960. In regarding each set as a ``generalised edge'' and in calling the family itself a ``hypergraph'', the initial idea was to try to extend certain classical results of Graph Theory such as the theorems of Turán and König. It was noticed that this generalisation often led to simplification; moreover, one single statement, sometimes remarkably simple, could unify several theorems on graphs. This book presents what seems to be the most significant work on hypergraphs.
In 1724-1726, the Dutch clergyman François Valentyn published a 5,000-page account of the Dutch East India Company’s empire. It was the first and, for a long time, the only survey of the Dutch establishments in Asia and South Africa. Shaping a Dutch East Indies analyses how Valentyn composed this work and how it largely determined the Dutch perspective on the colonies in Asia until the 1850s. It seeks to highlight both the great diversity of knowledge gathered in Valentyn’s book and its geographical spread, from the Cape of Good Hope to Japan, with a focus on the Indonesian archipelago. Huigen’s book is the first in-depth study of Valentyn’s work, which is a foundational text in the history of Dutch colonialism.