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Integral And Measure

Author: Vigirdas Mackevicius
Publisher: John Wiley & Sons
ISBN: 1848217692
Size: 15.54 MB
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This book is devoted to integration, one of the two main operations in calculus. In Part 1, the definition of the integral of a one-variable function is different (not essentially, but rather methodically) from traditional definitions of Riemann or Lebesgue integrals. Such an approach allows us, on the one hand, to quickly develop the practical skills of integration as well as, on the other hand, in Part 2, to pass naturally to the more general Lebesgue integral. Based on the latter, in Part 2, the author develops a theory of integration for functions of several variables. In Part 3, within the same methodological scheme, the author presents the elements of theory of integration in an abstract space equipped with a measure; we cannot do without this in functional analysis, probability theory, etc. The majority of chapters are complemented with problems, mostly of the theoretical type. The book is mainly devoted to students of mathematics and related specialities. However, Part 1 can be successfully used by any student as a simple introduction to integration calculus.

The Architecture Of Social Integration In Prehistoric Pueblos

Author: William D. Lipe
Publisher: Crow Canyon Archaeology Center
ISBN:
Size: 29.36 MB
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In this, the first in a series of Occasional Papers of the Crow Canyon Archaeological Center in Cortez, Colorado, eleven archaeologists explore new ways of looking at the social functions of prehistoric Pueblo architecture at scales of integration ranging from the household to the region. The contributors provide theoretical, historical, and cross-cultural perspectives on Pueblo architecture and social organization, and they examine the time-honored assumption that prehistoric and historic Pueblo kivas were functionally equivalent. They also consider the development of plazas and other "public" structures in relation to changing community organization and evidence that kivas and related structures were loci for material and information exchange.

The Social Organization Of Early Copper Age Tribes On The Great Hungarian Plain

Author: William A. Parkinson
Publisher: British Archaeological Reports Limited
ISBN: 9781841717883
Size: 14.53 MB
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The research presented in this study focuses upon a 2,000 sq km area in the K River Valley, in northern Bekes County, eastern Hungary. Within this region, the author analyzes two separate lines of evidence that relate to the changing patterns of social interaction and integration during the Late Neolithic and Early Copper Age periods. Chapter 1 details the scope of the project Chapter 2 develops the theoretical framework. Chapter Three discusses the methodological correlates of this theoretical framework, and addresses the archaeological problem of inferring dynamic social systems from static material remains. The middle range theory and bridging arguments are presented and the problems of measuring social interaction and integration in prehistoric contexts are discussed. Chapter Four presents the archaeological background necessary for understanding the radical social changes that occurred on the Great Hungarian Plain, ca. 4,500 BC. Chapter Five presents the specific research design. Chapter Six provides an overview of the study area and presents the sites and assemblage included in the subsequent analyses. Chapter Seven details the analysis of integration throughout the study area, based upon the spatial data and Chapter Eight lays out the analyses of Early Copper Age interaction, based upon the stylistic data from the Early Copper Age ceramic assemblages. Chapter Nine integrates the analyses presented in Chapters Seven and Eight into a coherent model and attempts to place the study area into the wider temporal and geographic context of the Great Hungarian Plain, and into the wider context of anthropological archaeology.

Number Theory

Author: Henri Cohen
Publisher: Springer Science & Business Media
ISBN: 038749894X
Size: 44.44 MB
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This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The local aspect, global aspect, and the third aspect is the theory of zeta and L-functions. This last aspect can be considered as a unifying theme for the whole subject.

Chemical Process Design And Integration

Author: Robin Smith
Publisher: John Wiley & Sons
ISBN: 1119990149
Size: 55.30 MB
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"The book provides a practical guide to chemical process design and integration for students and practicing process engineers in industry"--

Proceedings

Author: American Society for Engineering Education. Conference
Publisher:
ISBN:
Size: 49.77 MB
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Scanning Tunneling Microscopy I

Author: Hans-Joachim Güntherodt
Publisher: Springer Science & Business Media
ISBN: 3642973434
Size: 79.27 MB
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Scanning Tunneling Microscopy I provides a unique introduction to a novel and fascinating technique that produces beautiful images of nature on an atomic scale. It is the first of three volumes that together offer a comprehensive treatment of scanning tunneling microscopy, its diverse applications, and its theoretical treatment. In this volume the reader will find a detailed description of the technique itself and of its applications to metals, semiconductors, layered materials, adsorbed molecules and superconductors. In addition to the many representative results reviewed, extensive references to original work will help to make accessible the vast body of knowledge already accumulated in this field.