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Introductory Mathematical Analysis: for Business, Economics, and the
Life and Social Sciences Eleventh Edition Ernest F. Haeussler, Jr.,
Richard S. Paul, Richard Wood |
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The eleventh edition of Introductory
Mathematical Analysis continues to provide a mathematical
foundation for students in business, economics, and the life and social
sciences. It begins with noncalculus topics such as
equations, functions, matrix algebra, linear programming, mathematics of
finance, and probability. Then it progresses through both single-variable and
multivariable calculus, including continuous random variables. Technical
proofs, conditions, and the like are sufficiently described but are not
overdone. Our guiding philosophy led us to include those proofs and general calculations
that shed light on how the corresponding calculations are done in applied
problems. At times, informal intuitive arguments are given to preserve
clarity. |
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Applications An abundance and variety of applications for the
intended audience appear through the book; students continually see how the
mathematics they are learning can be used. These applications cover such
diverse areas as business, economics, biology, medicine sociology,
psychology, ecology, statistics, earth science, and archeology. Many of these
real-world situations are drawn from literature and are documented by
references. In some, the background and context are given in order to
stimulate interest. However, the text is virtually self-contained, in the
sense that it assumes no prior exposure to the concepts on which the
applications are based. Organization Changes to the Eleventh Edition The material from earlier editions
has been rearranged to reflect what we understand to be the usage patterns of
adoptees. Chapter 0 (Algebra Refresher) has
been expanded and subsumes what was formerly Chapter 1 (Equations). It seems
useful to us to teach the Mathematics of Finance, now Chapter 5,
immediately after students have become acquainted (or reacquainted) with the
Exponential and Logarithmic Functions in Chapter 4. The chapters on differentiation
have been rearranged to provide more unified themes. For example, the section
on Elasticity of Demand has been moved to Chapter 12 (Additional
Differentiation Topics) where it is placed immediately before Implicit
Differentiation, which in turn followed by Logarithmic Differentiation. All
three of these topics have a similar flavour. Since
Applications are stressed throughout it was decided to move the topics that
formerly appeared in a Chapter titled Applications of Differentiations so as
to reinforce the applicability of those topics to which they are
mathematically related. In particular, Applied Maxima and Minima now provides the conclusion to Chapter 13 (Curse
Sketching). Chapter 14 (Integration) and Chapter 15
(Methods and Applications of Integration) have also been rearranged as a
unit, beginning with the section on Differentials. Approximate Integration
(14.9) now follows the definition of the Definite Integral as a limit of sums
(14.7), sooner than in earlier editions. While the Fundamental Theorem of
Calculus (14.8) provides the preferred method of evaluating a define integral
when the requisite antiderivative can be found, it
is important for an applied text such as this to stress that the definite
integral is a number that can be computed as accurately as one requires using
only elementary arithmetic. |