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Computer science --- Informatique --- Periodicals. --- Périodiques --- Computer science. --- Informatics --- Science --- Mathematical Sciences --- Applied Mathematics

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Mathematics --- Computer science --- Computer science. --- Mathematics. --- Math --- Informatics --- Operator theory --- Control theory --- Algebraic structures --- Geometry --- Applied mathematics --- Computer science --- Science --- operator theory --- control theory --- algebraic structures --- geometry --- applied mathematics --- computer science

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Designed for one-semester courses at the senior undergraduate level, this 2003 book will appeal to mathematics undergraduates, to mathematics teachers, and to others who need to learn some mathematical analysis for use in other areas such as engineering, physics, biology or finance. Topics such as completeness and compactness are approached initially through convergence of sequences in metric space, and the emphasis remains on this approach. However, the alternative topological approach is described in a separate chapter. This gives the book more flexibility, making it especially useful as an introduction to more advanced areas such as functional analysis. Nominal divisions of pure and applied mathematics have been merged, leaving enough for students of either inclination to have a feeling for what further developments might look like. Applications have been included from such fields as differential and integral equations, systems of linear algebraic equations, approximation theory, numerical analysis and quantum mechanics.

Linear algebra. --- Mathematical analysis. --- Mathematics. --- Number theory. --- Mathematical analysis --- Engineering & Applied Sciences --- Applied Mathematics --- 517.1 Mathematical analysis

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This book presents the current state of the art in computational models for turbulent reacting flows, and analyzes carefully the strengths and weaknesses of the various techniques described. The focus is on formulation of practical models as opposed to numerical issues arising from their solution. A theoretical framework based on the one-point, one-time joint probability density function (PDF) is developed. It is shown that all commonly employed models for turbulent reacting flows can be formulated in terms of the joint PDF of the chemical species and enthalpy. Models based on direct closures for the chemical source term as well as transported PDF methods are covered in detail. An introduction to the theory of turbulent and turbulent scalar transport is provided for completeness. The book is aimed at chemical, mechanical, and aerospace engineers in academia and industry, as well as developers of computational fluid dynamics codes for reacting flows.

Turbulence --- Combustion --- Fluid dynamics --- Mathematical models --- Turbulence. --- Engineering & Applied Sciences --- Applied Mathematics --- Mathematical models. --- Turbulence - Mathematical models --- Combustion - Mathematical models --- Fluid dynamics - Mathematical models

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Information Technology --- Mathematical Sciences --- General and Others --- Algorithms --- Applied Mathematics --- Graph Theory --- Mathematical Analysis & Logic --- Internet --- Information networks --- Information networks. --- Internet. --- Telecommunications