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Mathematics with Business Applications (Hardcover)
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Mathematics with Business Applications (Hardcover)
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We define different varieties of business conducted over the
Internet or supported by this technology, which are called
e-Business. These businesses can range from sell or Internet
auctions to manage internal business processes -distribution,
production, supply, finance, etc. using such technology.
Differential equations are a powerful and versatile tool for
solving problems from the most diverse horizons: from mechanics to
biology, economics electricity, etc. The first step in solving
these problems is modeling, ie the "translation" in mathematical
relationships of the most important of the situation in question
intrinsic aspects. The mathematical treatment of a problem from
technical or other branch of science can be a difficult job, it is
the combination of two different domains: the phenomena being
studied (financial, ecological, economic, etc) and mathematics.
Solving a problem basically comprises the following steps: 1)
Determination of intrinsic qualitative aspects of the problem:
choosing a reference system of independent variables and unknown
variables. 2) Writing equations. These essentially they translate
laws or physical, biological, economic behavior, etc. 3) Processing
and study of the equations obtained. Analytical or approximate
solutions of the unknowns are being looked for. 4) Interpretation
of the mathematical results by comparison with experience. We
understand mathematical model to approximate representation of a
phenomenon by mathematical relationships (usually equations,
differential equations in our case). This approach is appropriate
if the conclusions that can be drawn have sufficient similarity to
the observed phenomena. Its formulation corresponds to steps 1) and
2) mentioned above. It is virtually impossible for a model to
represent all facets of the phenomenon. Therefore we insist on the
need to take into account the most relevant aspects of the
situation in question. Sometimes the same model can be reformulated
facilitating its resolution. As well as the equations are also
involved data models, inaccuracies in measuring these entail errors
in the results. In most cases there is no analytical solution of
the mathematical model by which we must pass numerical modeling.
This is another source of inaccuracies and in the context of
numerical analysis can establish error bounds between the solution
of the numerical model and the exact solution of the mathematical
model. The mathematical model is disturbed numeric character as
mathematical operations as the derivation or integration are not
accurate. The numerical model for its size or complexity may
require computer processing involves the disturbance arithmetic,
since the representation of real numbers and elementary arithmetic
is about. In this book, we will try to figure out how the essential
book keeping condition is utilized to keep all bookkeeping records
in adjust. We broke down business exchanges to perceive how they
influenced each piece of the bookkeeping condition. Money, credit,
income and cost, withdrawals, and speculation exchanges were
inspected for a specific business. It should be kept in mind that a
solid comprehension of the fundamental bookkeeping condition is the
way to understanding the impacts of any business exchange. In
conclusion, the resolution of a problem for numerical computation,
the result cascading different types of errors, rarely produces an
exact solution.
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