The scope of Quadratic Form Theory is historically wide although it usually appears almost as an afterthought when needed to solve a variety of problems such as the classification of Hessian matrices in finite dimensional Calculus [1], [2], [3], the finding of invariants that fully describe the equivalence class of a given form in Algebraic Geometry and Number Theory [4], the use of Rayleigh-Ristz methods for finding eigenvalues of real symmetric matrices in Linear Algebra [5], [6], the second order optimality conditions in Optimization Theory [1], [2], [3], the Sturm comparison criteria and the Sturm-Liouville Boundary Value Problems in Differential Equations [5], the kinetic energy or the Hamiltonian in Mechanics.
MORENIKEJI, O (2021). Quadratic Forms With Applications. Afribary. Retrieved from https://afribary.com/works/quadratic-forms-with-applications
MORENIKEJI, OLULANA "Quadratic Forms With Applications" Afribary. Afribary, 15 Apr. 2021, https://afribary.com/works/quadratic-forms-with-applications. Accessed 22 Dec. 2024.
MORENIKEJI, OLULANA . "Quadratic Forms With Applications". Afribary, Afribary, 15 Apr. 2021. Web. 22 Dec. 2024. < https://afribary.com/works/quadratic-forms-with-applications >.
MORENIKEJI, OLULANA . "Quadratic Forms With Applications" Afribary (2021). Accessed December 22, 2024. https://afribary.com/works/quadratic-forms-with-applications