Orthonormality Study guides, Study notes & Summaries

This document clearly describes, with detailed notes and examples, how to evaluate/solve the following: ~ Dot products and Orthonormal Bases ~ Unitary and Hermitian Matrices ~ Fourier series as taught by the University of the Witwatersrand. As a student, I am always searching for a great set of notes that I can rely on to ensure that I can achieve the best of my abilities. With this colour coded document, a second year can utilise their time more efficiently to practice more, instead of ...

My notes on the course Mathematical Physics at the University Of Sheffield. I do not claim all the content here is mine, it's mostly the images and equations that are copy-pasted from the lecturer's notes. But the descriptions/explanations are in my own words. Achieved an MPhys 1st Class Honours in theoretical physics. Contents: Sets And Functions Groups Rings And Fields Vector Spaces Basis And Dimension Generating Set Linear Maps And Linear Forms Kernel And Image Endomorphisms, Isomorphisms A...

This chapter includes notes on Orthonormality, Unitary and Hermitian Matrices, Quadratic Forms and Fourier Series. Each section has multiple worked examples. Notes were taken on an iPad.