Table of Contents

Mathematical (and Other) Bridges.- Cardinality.- Polynomial Functions Involving Determinants.- Some Applications of the Hamilton-Cayley Theorem.- A Decomposition Theorem Related to the Rank of a Matrix.- Equivalence Relations on Groups and Factor Groups.- Density.- The Nested Intervals Theorem.- The Splitting Method and Double Sequences.- The Number e.- The Intermediate Value Theorem.- The Extreme Value Theorem.- Uniform Continuity.- Derivatives and Functions' Variation.- Riemann and Darboux Sums.- Antiderivatives.

About the Author

Titu Andreescu is an internationally acclaimed problem solving expert who has published more than 30 books in this area.
Cristinel Mortici is a Romanian mathematics professor who efficiently uses a problem base approach in his teaching.
Marian Tetiva is a Romanian high school teacher who strongly believes in the importance of meaningful problem solving in teaching and learning mathematics.

Reviews

"The book under review is an excellent collection of gems of undergraduate mathematics. ... The book is very well written, and very pleasant to read." (Mowaffaq Hajja, zbMATH 1421.00001, 2019)