However, there is a particularly important kind of Banach space called a Hilbert space, which has a strong sense of geometry and is widely used in physics, economics and applied mathematics. Resolving ...

Informally, a dynamic system is any physical system that evolves with time (e.g., a pendulum, a planet orbiting the sun, the weather, etc). From a more mathematically precise perspective, one can ...

Please review if you find this resource helpful. It does encourage me to upload more. This resource contains all of the Invariant Point questions that have come up in the Edexcel GCSE maths papers to ...

A combination of transformations can sometimes be described using a single transformation, eg when a shape is transformed by two consecutive translations, the result can be expressed as a single ...

pptx, 551.88 KB pptx, 267.72 KB pptx, 330.4 KB docx, 42.43 KB These PowerPoints form full lessons of work that together cover the new AS level Further Maths course for the AQA exam board. Together all ...

Invariant manifolds are geometric structures in the phase space of a dynamical system that constrain trajectories and guide long‐term behaviour. They arise as stable, unstable or centre manifolds ...