### About this book

- Includes research topics which can be understood by undergraduates
- Author provides numerous exercises and examples

Mathematical analysis offers a solid basis for many achievements in
applied mathematics and discrete mathematics. This new textbook is
focused on differential and integral calculus, and includes a wealth
of useful and relevant examples, exercises, and results enlightening
the reader to the power of mathematical tools. The intended audience
consists of advanced undergraduates studying mathematics or computer
science.

The author provides excursions from the standard topics to modern and
exciting topics, to illustrate the fact that even first or second year
students can understand certain research problems.

The text has been divided into ten chapters and covers topics on sets
and numbers, linear spaces and metric spaces, sequences and series of
numbers and of functions, limits and continuity, differential and
integral calculus of functions of one or several variables, constants
(mainly pi) and algorithms for finding them, the W - Z method of
summation, estimates of algorithms and of certain combinatorial
problems. Many challenging exercises accompany the text. Most of them
have been used to prepare for different mathematical competitions
during the past few years. In this respect, the author has maintained
a healthy balance of theory and exercises.

Written for:

Lower undergraduate