Mathematical Bridges

• Main Authors: Andreescu, Titu (Author), Mortici, Cristinel (Author), Tetiva, Marian (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Birkhäuser, 2017.
• Subjects: Mathematics.; Algebra.

Building bridges between classical results and contemporary nonstandard problems, Mathematical Bridges embraces important topics in analysis and algebra from a problem-solving perspective. Blending old and new techniques, tactics and strategies used in solving challenging mathematical problems, read...

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.