نویسنده: mohammad layeghi

دانلود کتاب University Calculus-An Early Transcendentals, by J. Hass, C. Heil, P. Bogacki, M. D. Weir, G. B. Thomas, Jr.

این کتاب جدیدترین ویرایش کتاب ریاضیات عمومی I نوشته توماس و همکاران و در دسترس کارشناسان این وبسایت بوده و مطالعه آن برای کلیه دانشجویان اکیداً توصیه می شود.
University Calculus: Early Transcendentals, Fourth Edition, provides a streamlined
treatment of the material in a standard three-semester or four-quarter STEM-oriented
course. As the title suggests, the book aims to go beyond what many students may have
seen at the high school level. The book emphasizes mathematical precision and conceptual
understanding, supporting these goals with clear explanations and examples and carefully
crafted exercise sets.
Generalization drives the development of calculus and of mathematical maturity and
is pervasive in this text. Slopes of lines generalize to slopes of curves, lengths of line segments
to lengths of curves, areas and volumes of regular geometric figures to areas and
volumes of shapes with curved boundaries, and finite sums to series. Plane analytic geometry
generalizes to the geometry of space, and single variable calculus to the calculus
of many variables. Generalization weaves together the many threads of calculus into an
elegant tapestry that is rich in ideas and their applications.
Mastering this beautiful subject is its own reward, but the real gift of studying calculus
is acquiring the ability to think logically and precisely; understanding what is defined,
what is assumed, and what is deduced; and learning how to generalize conceptually. We
intend this text to encourage and support those goals.

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دانلود مقاله Darcy Model for the Study of the Fluid Flow and Heat Transfer Around a Cylinder Embedded in Porous Media

Steady-state convective heat transfer around a circular cylinder
embedded in porous media is studied in the range of low and
moderate Peclet numbers less than 40. The cylinder is at constant
temperature and the Darcy model is used for the analysis of fluid
flow and heat transfer in porous media. The governing equations
are discretised using finite volume approach based on staggered
grids. The powerlaw scheme is used in the numerical solution and
a SIMPLE-like algorithm is developed and used in the solution process.
It is found that the numerical algorithm is sufficiently efficient
in the range of Peclet numbers less than 40. Parametric studies are
done for better understanding of the porous media effects on the
Nusselt number distribution, pressure distribution, and flow and
temperature fields around a circular cylinder. The results are compared
with the available numerical data in the literature and have
shown good agreements.

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