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The influence of this 1859 work can still be traced in many modern treatments of differential equations and numerical analysis.
Table des matières
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 of the first order and degree; 7. On differential equations of the first order, but not of the first degree; 8. On the singular solutions of differential equations of the first order; 9. On differential equations of an order higher than the first; 10. Equations of an order higher than the first (cont.); 11. Geometrical applications; 12. Ordinary differential equations with more than two variables; 13. Simultaneous differential equations; 14. Of partial differential equations; 15. Partial differential equations of the second order; 16. Symbolical methods; 17. Symbolical methods (cont.); 18. Solution of linear differential equations by definite integrals; Answers; Appendix; Corrections.
Résumé
A largely self-educated mathematician, George Boole (1815–64) 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.
