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This volume contains 25 review articles by experts which provide
up-to-date information about the recent progress in computational
fluid dynamics (CFD). Due to the multidisciplinary nature of CFD,
it is difficult to keep up with all the important developments in
related areas. CFD Review 2010 would therefore be useful to
researchers by covering the state-of-the-art in this
fast-developing field.
This book is written to introduce computer simulations to
undergraduate college students, freshmen to seniors, in STEM
fields. The book starts with concepts from Basic Mathematics:
Geometry, Algebra and Calculus, Properties of Elementary Functions
(Polynomials, Exponential, Hyperbolic and Trigonometric Functions)
are studied and simple differential equations representing these
functions are derived. Numerical approximations of first and second
order differential equations are studied in terms of finite
differences on uniform grids. Computer solutions are obtained via
recursive relations or solutions of simultaneous algebraic
equations. Comparisons with the exact solutions (known a priori)
allow the calculations of the error due to discretization. After
the students build confidence in this approach, more problems where
the solutions are not known a priori are tackled with applications
in many fields. Next, the book gradually addresses linear
differential equations with variable coefficients and nonlinear
differential equations, including problems of bifurcation and
chaos.Applications in Dynamics, Solid Mechanics, Fluid Mechanics,
Heat Transfer, Chemical Reactions, and Combustion are included.
Biographies of 50 pioneering mathematicians and scientists who
contributed to the materials of the book are briefly sketched, to
shed light on the history of these STEM fields.Finally, the main
concepts discussed in the book, are summarized to make sure that
the students do not miss any of them. Also, references for further
readings are given for interested readers.
This book is written to introduce computer simulations to
undergraduate college students, freshmen to seniors, in STEM
fields. The book starts with concepts from Basic Mathematics:
Geometry, Algebra and Calculus, Properties of Elementary Functions
(Polynomials, Exponential, Hyperbolic and Trigonometric Functions)
are studied and simple differential equations representing these
functions are derived. Numerical approximations of first and second
order differential equations are studied in terms of finite
differences on uniform grids. Computer solutions are obtained via
recursive relations or solutions of simultaneous algebraic
equations. Comparisons with the exact solutions (known a priori)
allow the calculations of the error due to discretization. After
the students build confidence in this approach, more problems where
the solutions are not known a priori are tackled with applications
in many fields. Next, the book gradually addresses linear
differential equations with variable coefficients and nonlinear
differential equations, including problems of bifurcation and
chaos.Applications in Dynamics, Solid Mechanics, Fluid Mechanics,
Heat Transfer, Chemical Reactions, and Combustion are included.
Biographies of 50 pioneering mathematicians and scientists who
contributed to the materials of the book are briefly sketched, to
shed light on the history of these STEM fields.Finally, the main
concepts discussed in the book, are summarized to make sure that
the students do not miss any of them. Also, references for further
readings are given for interested readers.
Rejecting theories of economic deprivation and psychological
alienation, Mohammed Hafez offers a provocative analysis of the
factors that contribute to protracted violence in the Muslim world
today. Hafez combines a sophisticated theoretical approach and
detailed case studies to show that the primary source of Islamist
insurgencies lies in the repressive political environments within
which the vast majority of Muslims find themselves. Highlighting
when and how institutional exclusion and indiscriminate repression
contribute to large-scale rebellion, he provides a crucial
dimension to our understanding of Islamic politics.
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