Diese Arbeit enthiilt zwei grof3ere Fallstudien zur Beziehung zwischen theo retischer Mathematik und Anwendungen im 19. Jahrhundert. Sie ist das Ergebnis eines mathematikhistorischen Forschungsprojekts am Mathemati schen Fachbereich der Universitiit-Gesamthochschule Wuppertal und wurde dort als Habilitationsschrift vorgelegt. Ohne das wohlwollende Interesse von Herrn H. Scheid und den Kollegen der Abteilung fUr Didaktik der Mathema tik ware das nicht moglich gewesen: Inhaltlich verdankt sie - direkt oder indirekt - vielen Beteiligten et was. So wurde mein Interesse an den kristallographischen Symmetriekon zepten, dem Thema der ersten Fallstudie, durch Anregungen und Hinweise von Herrn E. Brieskorn geweckt. Sowohl von seiner Seite als auch von Herrn J. J. Burckhardt stammen uberdies viele wert volle Hinweise zum Manuskript von Kapitel I. Herrn C. J. Scriba mochte ich fur seine die gesamte Arbeit betreffenden priizisen Anmerkungen danken und Herrn W. Borho ebenso fUr seine ubergreifenden Kommentare und Vorschlage. Beziiglich der in Kapitel II behandelten projektiven Methoden in der Baustatik des 19. Jahrhunderts gilt mein besonderer Dank den Herren K. -E. Kurrer und T. Hiinseroth fUr ihre zum Teil sehr detaillierten Anmerkungen aus dem Blickwinkel der Geschichte der Bauwissenschaften. Schliefilich geht mein Dank an alle nicht namentlich Erwiihnten, die in Gesprachen, technisch oder auch anderweitig zur Fertig stellung dieser Arbeit beigetragen haben. Fur die vorliegende Publikation habe ich einen Anhang mit einer Skizze von in unserem Zusammenhang besonders wichtig erscheinenden Aspekten der Theorie der kristallographischen Raumgruppen hinzugefUgt. Ich hoffe, daB er zum Verstiindnis des mathematischen Hintergrunds der historischen Arbeiten des ersten Kapitels beitragt.
Psalms, Part 2, and Lamentations is Volume XV of The Forms of the Old Testament Literature, a series that aims to present a form- critical analysis of every book and each unit in the Hebrew Bible. Fundamentally exegetical, the FOTL volumes examine the structure, genre, setting, and intention of the biblical literature in question. They also study the history behind the form-critical discussion of the material, attempt to bring consistency to the terminology for the genres and formulas of the biblical literature, and expose the exegetical procedures so as to enable students and pastors to engage in their own analysis and interpretation of the Old Testament texts. This volume completes Erhard Gerstenberger's widely praised discussion of the psalms literature begun in Volume XIV, and includes as well an admirable study of the book of Lamentations. Gerstenberger interprets the different kinds of songs and prayers that comprise the book of Psalms in light of their socio-historical settings and provides a concise formal and structural analysis of each biblical text based on an illuminating comparison with other ancient Near Eastern prayers and hymns. Seeing the biblical writings in relation to the social, cultic, religious, and theological conceptions of Israel's neighoring peoples allows contemporary readers to better grasp the purpose and spiritual meaning of the psalms and Lamentations to the Jewish community that composed them.
This work for the first time brings together case law and law based on norms. It offers the reader a survey and a new explanation of evolutionary emergence of social contracts and constitutions in the European history, and should help to build a bridge between 'two cultures', science and humanities. It is addressed to philosophers of law, historians of law, theorists of science and social scientists.
New Materials for Catalytic Applications proposes the use of both new and existing materials for catalytic applications, such as zeolites, metal oxides, microporous and mesoporous materials, and monocrystals. In addition, metal-oxides are discussed from a new perspective, i.e. nano- and photocatalytic applications. The material presents these concepts with a new focus on strategies in synthesis, synthesis based on a rational design, the correlation between basic properties/potential applications, and new catalytic solutions for acid-base, redox, hydrogenation, photocatalytic reactions, etc. - Presents organometallic concepts for the synthesis of nanocatalysts - Provides a synthesis of new materials following the fluorolytic sol-gel concept - Covers electronic and photocatalytic properties via synthesis of nano-oxide materials - Details the nature of sites in MOFs generating catalytic properties immobilization of triflates in solid matrices for organic reactions
This book, a tribute to historian of mathematics Jeremy Gray, offers an overview of the history of mathematics and its inseparable connection to philosophy and other disciplines. Many different approaches to the study of the history of mathematics have been developed. Understanding this diversity is central to learning about these fields, but very few books deal with their richness and concrete suggestions for the “what, why and how” of these domains of inquiry. The editors and authors approach the basic question of what the history of mathematics is by means of concrete examples. For the “how” question, basic methodological issues are addressed, from the different perspectives of mathematicians and historians. Containing essays by leading scholars, this book provides a multitude of perspectives on mathematics, its role in culture and development, and connections with other sciences, making it an important resource for students and academics in the history and philosophy of mathematics.
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