Integrals of Hyperbolic Functions
2026ReferenceSergey
Reference table of indefinite integrals of the hyperbolic sine, cosine, tangent and cotangent.
0
260
Search results for “cosh”
37 results
Table of Basic Integrals
2026ReferenceSergey
Reference table of the basic indefinite integrals of the elementary functions: power, exponential, logarithmic and trigonometric.
1
270
Integrals of Trigonometric Functions and Exponentials
2026ReferenceSergey
Reference table of indefinite integrals of products of exponentials with sine and cosine.
0
290
Integrals of Trigonometric Functions and Monomials
2026ReferenceSergey
Reference table of indefinite integrals of products of powers of x with sine and cosine.
0
290
Integrals with Trigonometric Functions
2026ReferenceSergey
Reference table of indefinite integrals of sine, cosine, tangent and their powers and products.
0
280
A non-Noetherian local ring with finitely generated maximal ideal
2026NotesBogdan Zavyalov
A complete local ring with a finitely generated maximal ideal is Noetherian. Drop completeness and it fails: an ultraproduct construction gives a non-Noetherian local ring whose maximal ideal is principal.
0
340
Table of Derivatives
2026ReferenceSergey
Reference table of the derivatives of the elementary functions: power, exponential, logarithmic, trigonometric and their inverses.
1
240
An example of a non-reduced Picard scheme
2026TheorySean Cotner
An example, due to Serre, of a smooth projective surface in positive characteristic whose Picard scheme fails to be reduced, worked out via the two governing dimension inequalities.
1
170
Finite flat commutative group schemes embed locally into abelian schemes
2026TheorySean Cotner
A proof of Raynaud's theorem: every finite flat commutative group scheme over a locally noetherian base embeds, Zariski-locally, as a closed subgroup of an abelian scheme.
1
150
Vector calculus. Surface integrals of the first kind
2026Problem sheetSergey
Integration with respect to surface area: the area element for an explicit and a parametric surface, pieces of planes, the sphere in spherical coordinates.
0
340
Inverse Matrices
2026TheorySergey
Nonsingular matrices, the invertibility criterion, the adjugate-matrix formula, and the Gauss–Jordan method.
0
120