خرید و دانلود نسخه کامل کتاب Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences (14th Edition) [2019] – Original PDF

The fourteenth edition of Introductory Mathematical Analysis for Business, Economics,
and the Life and Social Sciences (IMA) continues to provide a mathematical
foundation for students in a variety of fields and majors, as suggested by the title.
As begun in the thirteenth edition, the book has three parts: College Algebra, Chapters 0–4;
Finite Mathematics, Chapters 5–9; and Calculus, Chapters 10–17.
Schools that have two academic terms per year tend to give Business students a term
devoted to Finite Mathematics and a term devoted to Calculus. For these schools we recommend
Chapters 0 through 9 for the first course, starting wherever the preparation of the
students allows, and Chapters 10 through 17 for the second, including as much as the students’
background allows and their needs dictate.
For schools with three quarter or three semester courses per year there are a number
of possible uses for this book. If their program allows three quarters of Mathematics, wellprepared
Business students can start a first course on Finite Mathematics with Chapter 1
and proceed through topics of interest up to and including Chapter 9. In this scenario, a
second course on Differential Calculus could start with Chapter 10 on Limits and Continuity,
followed by the three “differentiation chapters”, 11 through 13 inclusive. Here, Section
12.6 on Newton’s Method can be omitted without loss of continuity, while some instructors
may prefer to review Chapter 4 on Exponential and Logarithmic Functions prior to studying
them as differentiable functions. Finally, a third course could comprise Chapters 14
through 17 on Integral Calculus with an introduction to Multivariable Calculus. Note that
Chapter 16 is certainly not needed for Chapter 17 and Section 15.8 on Improper Integrals
can be safely omitted if Chapter 16 is not covered.
Approach
Introductory Mathematical Analysis for Business, Economics, and the Life and Social
Sciences (IMA) takes a unique approach to problem solving. As has been the case in earlier
editions of this book, we establish an emphasis on algebraic calculations that sets this
text apart from other introductory, applied mathematics books. The process of calculating
with variables builds skill in mathematical modeling and paves the way for students to use
calculus. The reader will not find a “definition-theorem-proof” treatment, but there is a sustained
effort to impart a genuine mathematical treatment of applied problems. In particular,
our guiding philosophy leads us to include informal proofs and general calculations that
shed light on how the corresponding calculations are done in applied problems. Emphasis
on developing algebraic skills is extended to the exercises, of which many, even those of
the drill type, are given with general rather than numerical coefficients.
We have refined the organization of our book over many editions to present the content
in very manageable portions for optimal teaching and learning. Inevitably, that process
tends to put “weight” on a book, and the present edition makes a very concerted effort to
pare the book back somewhat, both with respect to design features—making for a cleaner
approach—and content—recognizing changing pedagogical needs.
Changes for the Fourteenth Edition
We continue to make the elementary notions in the early chapters pave the way for their
use in more advanced topics. For example, while discussing factoring, a topic many students
find somewhat arcane, we point out that the principle “ab D 0 implies a D 0 or
b D 0”, together with factoring, enables the splitting of some complicated equations into
several simpler equations. We point out that percentages are just rescaled numbers via the
“equation” p% D p
100 so that, in calculus, “relative rate of change” and “percentage rate
of change” are related by the “equation” r D r 100%. We think that at this time, when
negative interest rates are often discussed, even if seldom implemented, it is wise to be
absolutely precise about simple notions that are often taken for granted. In fact, in the