Since antiquity, the "doubling the square" problem has intrigued curious minds. Plato already recounted how Socrates challenged his students to double the area of a square, an enigma that reveals the ...

Using a relatively young theory, a team of mathematicians has started to answer questions whose roots lie at the very beginning of mathematics.

This is the first book on analytic hyperbolic geometry, fully analogous to analytic Euclidean geometry. Analytic hyperbolic geometry regulates relativistic mechanics just as analytic Euclidean ...

This book mainly deals with the Bochner–Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a systematical introduction to the fundamental theories of the ...

Abstract: Geometric deep learning is an umbrella term for emerging techniques attempting to generalize (structured) deep neural models to non-Euclidean domains, such as graphs and manifolds. The ...

The course is an introduction to geometry in the plane and in 3-space. Central geometric topics that were not included in the beginner courses are emphasised. The course contains a classification of ...

Abstract: The paper is about formalization of Set Theory and Elementary Algebra theorems in mathematics and their proofs in a new programming language called LEAN 4 Theorem Prover. The paper describes ...

An illustration of a magnifying glass. An illustration of a magnifying glass.