Matrix factorizations

Between Mathematics and Mathematics Education: Examples from Two Courses for Prospective Mathematics Teachers

Complex numbers and geometry

Spectrum of matrices

Linear operaters on inner product spaces

Block-matrix

Learning through exploration and storytelling

Eigenvalues and eigenvectors

Laplace transform

Linear algebra

Pascal's triangle

Techniques in solving mathematical problems

Determinants

Some strategies for solving mathematical problems

Determinants

Functional equations in mathematics teaching

Geometric interpretation of complex functions

Finite Parseval frames

Totally positive matrices

The Hamilton-Cayley theorem for matrices of order 2

Tight frames

Some complex analysis and the fundamental theorem of algebra

Frames for finite-dimensional Hilbert spaces

Two tasks on the shortest path

The Basel problem

Fundamental theorem of algebra

Sequences and series of functions

Some applications of linear algebra

Some generalizations of Lagrange's mean value theorem

Functional equations associated with certain mean value theorems

Some generalizations of Rolle's theorem and Lagrange's mean value theorem

Mathematics 3

Some applications of Rolle's theorem and Lagrange's mean value theorem

The length of a path consisting of n line segments

Maps preserving rank-one matrices

Finite frames in Hilbert spaces

Various proofs of the Cauchy-Schwarz-Bunjakovski inequality

Hilbert C*-modules

Leslie matrix model of population growth

Linear functionals, bilinear and quadratic forms

Cauchy–Schwarz–Bunyakovsky inequality

Compact operators

On continuous functions

Mathematics 4

p-norms on R^2, S_p circles and pi_p numbers

Sequence spaces

Convex functions

Bounded linear operators on normed spaces

ℓᵖ spaces

Counterexamples in mathematical analysis

Continued fractions

Banach and Hilbert spaces

Representations and frames for Hilbert C*-modules

AF-algebras