Probability Integral

Probability Integral

Its Origin, Its Importance, and Its Calculation

Nahin, Paul J.

Springer International Publishing AG

09/2024

189

Mole

9783031384189

15 a 20 dias

Descrição não disponível.
Chapter 1. De Moivre and the Discovery of the Probability Integral.- Chapter 2. Laplace's First Derivation.- Chapter 3. How Euler Could Have Done It Before Laplace (but did he?).- Chapter 4. Laplace's Second Derivation.- Chapter 5. Generalizing the Probability Integral.- Chapter 6. Poisson's Derivation.- Chapter 7. Rice's Radar Integral.- Chapter 8. Liouville's Theorem that Has No Finite Form.- Chapter 9. How the Error Function Appeared in the Electrical Response of the Trans-Atlantic Telegraph Cable.- Chapter 10. Doing the Probability Integral with Differentiation.- chapter 11. The Probability Integral as a Volume.- Chapter 12. How Cauchy Could Have Done It (but didn't).- Chapter 13. Fourier Has the Penultimate Technical Word.- Chapter 14. Finbarr Holland Has the Last Technical Word.- Chapter 15. A Final Comment on Mathematical Proofs.
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Math methods for engineering;History of statistics;History of signal processing;Normal distribution;Probability integral;Gaussian integral;Gaussian function;Integration techniques;History of probability;Math methods for physics;History of the telegraph