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Operational Calculus: Based on the Two-Sided Laplace Integral - Rilegato

Pol, Balth Van Der; Bremmer, H.

 
9780521066709: Operational Calculus: Based on the Two-Sided Laplace Integral

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Sinossi

Primarily this book is intended for application of the operational calculus to mathematics, physics, and technical problems.

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Descrizione del libro

Primarily this book is intended for application of the operational calculus to mathematics, physics and technical problems. It gives the basic principles, ideas, and theorems clearly and extensively, but also many worked-out problems from mathematical and physical as well as from technical fields.

Contenuti

1. General Introduction; 2. The Fourier Integral as Basis of the Operational Calculus; 3. Elementary Operational Images; 4. Elementary Rules; 5. The Delta or Impulse Function; 6. Questions Concerning the Convergence of the Definition Integral; 7. Asymptotic Relations and Operational Transposition of Series; 8. Linear Differential Equations with Constant Coefficients; 9. Simultaneous Linear Differential Equations with Constant Coefficients; Electric-Circuit Theory; 10. Linear Differential Equations with Variable Coefficients; 11. Operational Rules of more Complicated Character; 12. Step Functions and Other Discontinuous Functions; 13. Difference Equations; 14. Integral Equations; 15. Partial Differential Equations in the Operational Calculus of one Variable; 16. Simultaneous Operational Calculus.

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