A treatise on differential equations

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Page We shall treat only certain special cases of 1 , and these by special methods: 1.

A treatise on Differential Equations.

Page - Eqs. Page 78 - A recurring series is a series in which an equation of the first degree with constant coefficients, holds good between a certain definite number of consecutive terms, in whatever part of the series they be taken.

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Page 56 Show that the radius of curvature at any point of this locus is J of the length of the radius vector to the corresponding point on the original curve. Page - To find an analytical expression of a function from a limited number of its numerical values Page 27 - To find the integral of a fraction whose denominator is the product of consecutive terms of an Page 79 Find the depth of a horizontal section such that if the whole fluid issued with Page 45 - Having given a solution of a differential equation, to find whether it is included in the complete integral or not.


  1. A treatise on differential equations.
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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.

A Treatise on Differential Equations - George Boole - Google Books

Also reissued in this series, his masterpiece was An Investigation of the Laws of Thought , and his two later works A Treatise on Differential Equations and A Treatise on the Calculus of Finite Differences 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.

A Treatise on Differential Equations. Supplementary Volume

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.

Neural Differential Equations

On differential equations of an order higher than the first; Equations of an order higher than the first cont. Geometrical applications; Ordinary differential equations with more than two variables; Simultaneous differential equations; Of partial differential equations; Partial differential equations of the second order; Symbolical methods; Symbolical methods cont. Solution of linear differential equations by definite integrals; Answers; Appendix; Corrections. Neem contact met mij op over Events Sprekers Incompany.

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  • A treatise on differential equations - George Boole - Google книги?
  • A treatise on differential equations by George Boole, F. R. S.;