A Treatise on Differential Equations [Paperback]

The influence of this 1859 work can still be traced in many modern treatments of differential equations and numerical analysis.A largely self-educated mathematician, George Boole (181564) was widely recognised for his ability and became the first professor of mathematics at Cork. The influence of this 1859 work can still be traced in many modern treatments of differential equations and numerical analysis.A largely self-educated mathematician, George Boole (181564) was widely recognised for his ability and became the first professor of mathematics at Cork. The influence of this 1859 work can still be traced in many modern treatments of differential equations and numerical analysis.The need to support his family meant that George Boole (181564) was a largely self-educated mathematician. Widely recognised for his ability, he became the first professor of mathematics at Cork. Boole belonged to the British school of algebra, which held what now seems to modern mathematicians to be an excessive belief in the power of symbolism. However, in Boole's hands symbolic algebra became a source of novel and lasting mathematics. Also reissued in this series, his masterpiece was An Investigation of the Laws of Thought (1854), and his two later works A Treatise on Differential Equations (1859) and A Treatise on the Calculus of Finite Differences (1860) exercised an influence which can still be traced in many modern treatments of differential equations and numerical analysis. The beautiful and mysterious formulae that Boole obtained are among the direct ancestors of the theories of distributions and of operator algebras.Preface; 1. Of the nature and origin of differential equations; 2. On differential equations of the first order and degree between two variables; 3. Exact differential equations of the first degree; 4. On the integrating factors of the differential equation; 5. On the general determination of the integrating factors of the equation; 6. On some remarkable equations ols'