
06488161
b
2016c.00815
Morris, Carla C.
Stark, Robert M.
Fundamentals of calculus.
Hoboken, NJ: John Wiley \& Sons (ISBN 9781119015260/hbk; 9781119015390/set). xiii, 352~p. (2016).
2016
Hoboken, NJ: John Wiley \& Sons
EN
I15
M45
elementary calculus
calculus textbook
differential calculus
integral calculus
functions of a real variable
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 nonsolved problems, mostly classical ones, not requiring deeper mathematical knowledge. The problems cover different applications of mathematics, but mostly those in economy and finance.
Vladim\'{\i}r Jani\v{s} (Bansk\'a Bystrica)