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This book is a short primer in engineering mathematics with a view on applications in nonlinear control theory. In particular, it introduces some elementary concepts of commutative algebra and algebraic geometry which offer a set of tools quite different from the traditional approaches to the subject matter. This text begins with the study of elementary set and map theory. Chapters 2 and 3 on group theory and rings, respectively, are included because of their important relation to linear algebra, the group of invertible linear maps (or matrices) and the ring of linear maps of a vector space. Homomorphisms and Ideals are dealt with as well at this stage. Chapter 4 is devoted to the theory of matrices and systems of linear equations. Chapter 5 gives some information on permutations, determinants and the inverse of a matrix. Chapter 6 tackles vector spaces over a field, Chapter 7 treats linear maps resp. linear transformations, and in addition the application in linear control theory of some abstract theorems such as the concept of a kernel, the image and dimension of vector spaces are illustrated. Chapter 8 considers the diagonalization of a matrix and their canonical forms. Chapter 9 provides a brief introduction to elementary methods for solving differential equations and, finally, in Chapter 10, nonlinear control theory is introduced from the point of view of differential algebra.

Engineering mathematics. --- Systems theory. --- Engineering Mathematics. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Control and Systems Theory. --- Systems Theory, Control. --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics --- Statistical physics. --- Control engineering. --- System theory. --- Physics --- Mathematical statistics --- Systems, Theory of --- Systems science --- Science --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Statistical methods --- Philosophy

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The book is comprised of lectures and selected contributions presented at the Enzo Levi and XVI Annual Meeting of the Fluid Dynamic Division of the Mexican Physical Society in 2010. It is aimed at fourth year undergraduate and graduate students,  as well as scientists in the fields of physics, engineering and chemistry with an interest in fluid dynamics from the experimental and theoretical point of view. The lectures are introductory and avoid the use of complicated mathematics. The other selected contributions are also geared to fourth year undergraduate and graduate students. The fluid dynamics applications include multiphase flow, convection, diffusion, heat transfer, rheology, granular material, viscous flow, porous media flow, geophysics and astrophysics. The material contained in the book includes recent advances in experimental and theoretical fluid dynamics and will be of great use  to those involved in either teaching and/or research.  .

Fluid dynamics. --- Fluid dynamics -- Congresses. --- Fluid dynamics --- Earth & Environmental Sciences --- Engineering & Applied Sciences --- Applied Mathematics --- Environmental Sciences --- Environment. --- Geophysics. --- Environment, general. --- Geophysics and Environmental Physics. --- Dynamics --- Fluid mechanics --- Environmental sciences. --- Environmental science --- Science --- Geological physics --- Terrestrial physics --- Earth sciences --- Physics --- Balance of nature --- Biology --- Bionomics --- Ecological processes --- Ecological science --- Ecological sciences --- Environment --- Environmental biology --- Oecology --- Environmental sciences --- Population biology --- Ecology

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Mathematics --- Classical mechanics. Field theory --- Statistical physics --- Electrical engineering --- Applied physical engineering --- Engineering sciences. Technology --- chaos --- toegepaste wiskunde --- theoretische fysica --- automatisering --- economie --- systeemtheorie --- wiskunde --- systeembeheer --- ingenieurswetenschappen --- dynamica

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Les dix auteurs réunis dans ce volume, à l'occasion de la sixième rencontre de l’école doctorale d’archéologie, se sont intéressés au thème : « Des vestiges aux sociétés. Regards croisés sur le passage des données archéologiques à la société sous-jacente ». Les contributions présentées ici, couvrent des domaines géographiques, chronologiques et thématiques larges, exprimant en partie la substance complexe et subtile de cette vaste problématique. Les auteurs mettent en regard les pratiques archéologiques et celles des populations en question. Leurs approches se rejoignent sur la valeur du regard critique porté sur les postures de l’archéologue face aux faits empiriques. Les auteurs nous révèlent l’entière nécessité du travail de questionnement des outils méthodologiques pour faire parler justement les vestiges. L’ensemble des contributions montre que l’égal intérêt pour le connu et l’inconnu, le producteur et le destinataire, le corpus étudié et le corpus comparatif, l’intérieur et l’extérieur est le fondement d’une archéologie dynamique plus à même de rendre compte des interactions sociales.

History & Archaeology --- approvisionnement --- artisanat --- économie --- matière première --- ressources --- technologie --- procurement --- handicraft --- economy --- raw material --- resources --- technology