Mathematical Bridges

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.

• 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.

“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)