id: 06488161
dt: b
an: 2016c.00815
au: Morris, Carla C.; Stark, Robert M.
ti: Fundamentals of calculus.
so: Hoboken, NJ: John Wiley \& Sons (ISBN 978-1-119-01526-0/hbk;
978-1-119-01539-0/set). xiii, 352~p. (2016).
py: 2016
pu: Hoboken, NJ: John Wiley \& Sons
la: EN
cc: I15 M45
ut: elementary calculus; calculus textbook; differential calculus; integral
calculus; functions of a real variable
ci:
li:
ab: The book under review is an introductory textbook to the calculus of real
functions of a single real variable (one chapter is devoted to a brief
introduction to real functions of several variables). It consists of
the following sections: Linear Equations and Functions, The Derivative,
Using the Derivative, Exponential and Logarithmic Functions, Techniques
of Differentiation, Integral Calculus, Techniques of Integration,
Functions of Several Variables, Series and Summations, Applications to
Probability. The stress is in explaining the mathematical principles in
problem solving, rather then in building a consistent theory. The
properties of functions are explained, but neither formulated as
theorems nor proved. For this reason the book is aimed at students of
applied science more that at students of mathematics. The text is
followed by a large number of solved and non-solved problems, mostly
classical ones, not requiring deeper mathematical knowledge. The
problems cover different applications of mathematics, but mostly those
in economy and finance.
rv: Vladimír Janiš (Banská Bystrica)