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Integral And Measure

Author: Vigirdas Mackevicius
Publisher: John Wiley & Sons
ISBN: 1848217692
Size: 53.86 MB
Format: PDF
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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.

Number Theory

Author: Henri Cohen
Publisher: Springer Science & Business Media
ISBN: 038749894X
Size: 73.86 MB
Format: PDF
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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.

The Architecture Of Social Integration In Prehistoric Pueblos

Author: William D. Lipe
Publisher: Crow Canyon Archaeology Center
Size: 47.78 MB
Format: PDF, ePub, Docs
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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.


Author: American Society for Engineering Education. Conference
Size: 10.44 MB
Format: PDF, Mobi
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