This 1st volume in the series History of the Theory of Numbers presents the material related to the subjects of divisibility and primality. This series is the work of a distinguished mathematician who taught at the University of Chicago for 4 decades and is celebrated for his many contributions to number theory and group theory. 1919 edition.

This book traces the evolution of theory of structures and strength of materials - the development of the geometrical thinking of the Renaissance to become the fundamental engineering science discipline rooted in classical mechanics. Starting with the strength experiments of Leonardo da Vinci and Galileo, the author examines the emergence of individual structural analysis methods and their formation into theory of structures in the 19th century. For the first time, a book of this kind outlines the development from classical theory of structures to the structural mechanics and computational mechanics of the 20th century. In doing so, the author has managed to bring alive the differences between the players with respect to their engineering and scientific profiles and personalities, and to create an understanding for the social context. Brief insights into common methods of analysis, backed up by historical details, help the reader gain an understanding of the history of structural mechanics from the standpoint of modern engineering practice. A total of 175 brief biographies of important personalities in civil and structural engineering as well as structural mechanics plus an extensive bibliography round off this work.

A unified survey of both the status quo and the continuing trends of various branches of number theory. Motivated by elementary problems, the authors present todays most significant results and methods. Topics covered include non-Abelian generalisations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. The book is rounded off with an overview of the major conjectures, most of which are based on analogies between functions and numbers, and on connections with other branches of mathematics such as analysis, representation theory, geometry and algebraic topology.

Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.

"Instead of proposing another theory of war, their goal is a more modest one of raising the theoretical consciousness of historians. Specifically, they argue that '1) ideology does influence theory, 2) historians do have ideologies as well as theories . . . about which they are not always conscious or consistent, and 3) we can better understand, compare, and evaluate what historians are saying when we comprehend their ideological and theoretical perspectives.' They attempt then, to classify historical interpretations of war according to their ideological/ theoretical orientations, however covert." --Perspective "Nelson and Olin .. . are concerned with enhancing history's social utility by advancing its capacity to produce generalizations that can explain or predict events and are subject to empirical testing. Their exploration of historical generalization focuses on an issue itself of the highest importance, the causes of war; but their aim is also to create a model for historical generalization applicable to other issues. They argue that to understand generalizations in history, one must recognize their roots in theory, and that historians' theories in turn proceed from their own ideologies. To demonstrate, they survey theories about the causes of war that have come out of conservative, liberal, and radical ideologies. . . . any historian will profit from this rigorous approach to the problem." --Choice "Learned and suggestive, this book clarifies much of what is already known, and points toward new ways of understanding."--Library Journal

As the theoretical alignments within academia shift, this book introduces a surprising variety of realism to abolish the old positivist-theory dichotomy that has haunted Art History. Demanding frankly the referential detachment of the objects under study, the book proposes a stratified, multi-causal account of art history that addresses postmodern concerns while saving it from its errors of self-refutation. Building from the very basic distinction between intransitive being and transitive knowing, objects can be affirmed as real while our knowledge of them is held to be fallible. Several focused chapters address basic problems while introducing philosophical reflection into art history. These include basic ontological distinctions between society and culture, general and "special" history, the discontinuity of cultural objects, the importance of definition for special history, scales, facets and fiat objects as forms of historical structure, the nature of evidence and proof, historical truth and controversies. Stressing Critical Realism as the stratified, multi-causal approach needed for productive research today in the academy, this book creates the subject of the ontology of art history and sets aside a theoretical space for metaphysical reflection, thus clarifying the usually muddy distinction between theory, methodology, and historiography in art history.

Oral history is increasingly acknowledged as a key tool for anyone studying the history of the recent past. This book is the first to provide a comprehensive and systematic overview of oral history theory in an accessible format. The book is structured around key themes, including the peculiarities of oral history, the study of the self, subjectivity and intersubjectivity, memory, narrative, performance and power. Each chapter provides a clear and user-friendly explanation of the various theoretical approaches, illustrates them with examples from the rich field of published oral history, and makes suggestions for the practicing oral historian. There is also a glossary of key terms and concepts. Combining the study of theoreticians with the observations of practitioners, and including extensive examples of oral history work from around the world, this book constitutes the first integrated explanation of oral history theory. It will be invaluable to experienced and novice oral historians, professionals, and students who are new to the discipline.

Microfluidics is a microtechnological field dealing with the precise transport of fluids (liquids or gases) in small amounts (e.g. microliters, nanoliters or even picoliters). This book provides a useful introduction into this burgeoning field, and a specific application of microfluidics is presented. It also gives a survey of microfluidics.