Sergey

@aethereal

Math and CS

1 follower28 works

Works by Sergey (page 2) - LibreTimes

2026TheorySergey

The basic properties of determinants with brief proofs, and their use in simplifying computations.

2026TheorySergey

The direct definition of a determinant via permutations: inversions, parity, and a sum of n! terms.

2026TheorySergey

The determinant of a square matrix — its meaning, minors and cofactors, Laplace expansion, and computation methods.

2026TheorySergey

The basic properties of addition, scalar multiplication, transposition, and multiplication of matrices, with justifications.

2026TheorySergey

Addition, scalar multiplication, transposition and multiplication of matrices, along with subtraction, powers, and trace.

2026ReferenceSergey

Reference table of indefinite integrals of sine, cosine, tangent and their powers and products.

2026ReferenceSergey

Reference table of indefinite integrals of products of powers of x with sine and cosine.

2026ReferenceSergey

Reference table of indefinite integrals of products of exponentials with sine and cosine.

2026ReferenceSergey

Reference table of indefinite integrals of expressions containing square roots and other radicals.

2026ReferenceSergey

Reference table of indefinite integrals of rational functions, including quadratic denominators and partial-fraction forms.

2026ReferenceSergey

Reference table of indefinite integrals of expressions containing the natural logarithm.

2026ReferenceSergey

Reference table of indefinite integrals of the hyperbolic sine, cosine, tangent and cotangent.