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Elementary Vector Calculus and Its Applications with MATLAB Programming (Hardcover)
Loot Price: R3,060
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Elementary Vector Calculus and Its Applications with MATLAB Programming (Hardcover)
Series: River Publishers Series in Mathematical, Statistical and Computational Modelling for Engineering
Expected to ship within 9 - 15 working days
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Sir Isaac Newton, one of the greatest scientists and mathematicians
of all time, introduced the notion of a vector to define the
existence of gravitational forces, the motion of the planets around
the sun, and the motion of the moon around the earth. Vector
calculus is a fundamental scientific tool that allows us to
investigate the origins and evolution of space and time, as well as
the origins of gravity, electromagnetism, and nuclear forces.
Vector calculus is an essential language of mathematical physics,
and plays a vital role in differential geometry and studies related
to partial differential equations widely used in physics,
engineering, fluid flow, electromagnetic fields, and other
disciplines. Vector calculus represents physical quantities in two
or three-dimensional space, as well as the variations in these
quantities. The machinery of differential geometry, of which vector
calculus is a subset, is used to understand most of the analytic
results in a more general form. Many topics in the physical
sciences can be mathematically studied using vector calculus
techniques. This book is designed under the assumption that the
readers have no prior knowledge of vector calculus. It begins with
an introduction to vectors and scalars, and also covers scalar and
vector products, vector differentiation and integrals, Gauss's
theorem, Stokes's theorem, and Green's theorem. The MATLAB
programming is given in the last chapter. This book includes many
illustrations, solved examples, practice examples, and
multiple-choice questions.
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