@article { author = {Abou El Dahab, E.}, title = {Application of Geometric Algebra to Generalized Hamiltonian (Birkhoffian) Mechanics}, journal = {The International Conference on Mathematics and Engineering Physics}, volume = {5}, number = {International Conference on Mathematics and Engineering Physics (ICMEP-5)}, pages = {1-9}, year = {2010}, publisher = {Military Technical College}, issn = {2636-431X}, eissn = {2636-4328}, doi = {10.21608/icmep.2010.29772}, abstract = {AbstractThe basic concepts of generalized Hamiltonian ( Birkhoffian ) mechanics are derived usingGemotric Algebra. Both Generalized Poisson bracket (GPB) and Generalized Lagrangebracket (GLB) are introduced. Similarly Generalized plus Poisson bracket (GPPB) andGeneralized plus Lagrange bracket (GPLB) are derived which seems different from the formsby other authors. Differential constrains are derived, one of which resembles that ofelectromagnetic field strength.}, keywords = {}, url = {https://icmep.journals.ekb.eg/article_29772.html}, eprint = {https://icmep.journals.ekb.eg/article_29772_2656e3a2044b664280d6d3637f2f57cb.pdf} }