The importance of similarity transformations and their applications to partial differential equations is discussed. The theory has been presented in a simple manner so that it would be beneficial at ...

We present Bäcklund transformations for the non-commutative anti-self-dual Yang-Mills equation where the gauge group is G = GL(2), and use it to generate a series of exact solutions from a simple seed ...

Conformal geometry examines transformations that preserve angles, revealing deep interrelations between geometry and analysis. When combined with nonlinear elliptic equations—which are characterised ...

To tackle Fourier Series or solve Differential Equations this e-shelf provides a good starting point for revision and practice The resources below revisit complex Maths topics included your STEM ...

(1) Linear Algebra: Vector spaces over R and C, linear dependence and independence, subspaces, bases, dimension; Linear transformations, rank and nullity, matrix of a linear transformation. Algebra of ...

Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about. In the early 1800s, William Rowan Hamilton discovered a new kind of ...