Mathematical Concepts Applied to Computer Networks.
PhD course 34334. Autumn semester, 2006.
Timetable: Monday 9:00-11:00, Friday 9:00-12:00.
Room: D6-004
Abstract:
The course introduces probability concepts related with computer networks.
Teachers
| Name
| Office
| email
| Tel.
|
| Enric Monte-Moreno
| D5-109
| enric gps.tsc.upc.edu
| 93.401.64.35
|
Llorenç Cerdà-Alabern
| C6-213
| llorencac.upc.es
| 93.401.67.98
|
Contents
- Introduction to probability Enric Monte
- Markov Chains Llorenç Cerdà
Slides
-
Bibliography (Enric Monte): 1 slide per page,
6 slides per page.
-
A first approach to probability (Enric Monte): 1 slide per page,
6 slides per page.
-
Mathematical Model of Probability (Enric Monte): 1 slide per page,
6 slides per page.
-
The art of Counting Combinatorics(Enric Monte): 1 slide per page,
6 slides per page.
-
Allocation of probabilities (Enric Monte): 1 slide per page,
6 slides per page.
-
Problems of Allocation Of Probabilities (Enric Monte): 1 slide per page,
6 slides per page.
-
Conditioned probability (Enric Monte): 1 slide per page,
6 slides per page.
-
Independent Events (Enric Monte): 1 slide per page,
6 slides per page.
-
Random Variables (Enric Monte): 1 slide per page ,
6 slides per page.
-
Mathematical Expectation of a Random Variable (Enric Monte): 1 slide per page ,
6 slides per page.
-
The concept of Dispersion (Enric Monte): 1 slide per page ,
6 slides per page.
Exercises
References
Links
GNU numerical tools:
Books
-
An Introduction to Probability Theory and Its
Applications
William Feller. Wiley, 1971.
-
Probability, Random Variables and Stochastic Processes
Athanasios Papoulis. McGraw-Hill, 2001.
-
Understanding Probability : Chance Rules in Everyday Life
Henk
Tijms. Cambridge University Press, 2004.
-
Calculo de probabilidades 1
Ricado Vélez, Víctor Hernández. UNED, 1995.
-
Finite Markov Chains
John G Kemeny, J Laurie Snell. Springer, 1960.
-
Probability, Stochastic Processes and Queuing Theory.
R. Nelson. Spinger, 1995.