Feferman and Feferman (2004) is a biography of Tarski that also contains a very valuable introduction to his logical and mathematical work, including descriptions of all the results and developments mentioned in the initial paragraph of this entry.
He published numerous mathematical works, including New Mathematical Tables (1814).
Of great significance in Nilakanthan's work includes the inductive mathematical proofs, a derivation and proof of the arctangent trigonometric function, improvements and proofs of other infinite series expansions by Madhava, and in Sanskrit poetry the series π 4 = 1 − 1 3 + 1 5 − 1 7 + 1 9 − 1 11 + ⋯, (5).
The Manchester Mark 1 continued to do useful mathematical work until 1950, including an investigation of the Riemann hypothesis and calculations in optics.
His early work included the creation of a mathematical model of the Milky Way Galaxy based on all the available data concerning the distribution of the stars and interstellar gas and dust.
His written work included two geographical atlases, a treatise on music with mathematical harmonics, governmental administration, mathematical astronomy, astronomical instruments, martial defensive tactics and fortifications, painting, tea, medicine, and much poetry.
Those which do include mathematical work can take up to 10 hours a page for an expert to decipher.
First, I reflect on my own mathematical work on the catwalk task, including my efforts to fit various algebraic models to the data.
Much of his earliest as well as latest mathematical work bore on questions of navigation, including such issues as the construction of rhumb lines (or loxodromes) on sailing charts.
Section 4 presents a detailed description of the solution detailing how each component works including a mathematical model of the proposed mechanism.
