Mathematics For Informatics And Computer Science Pierre Audibertauth by Pierre Audibert(auth.) 9781118557938, 9781848211964, 111855793X, 1848211961 instant download after payment.

How many ways do exist to mix different ingredients, how many chances to win a gambling game, how many possible paths going from one place to another in a network ? To this kind of questions Mathematics applied to computer gives a stimulating and exhaustive answer. This text, presented in three parts (Combinatorics, Probability, Graphs) addresses all those who wish to acquire basic or advanced knowledge in combinatorial theories. It is actually also used as a textbook. 
Basic and advanced theoretical elements are presented through simple applications like the Sudoku game, search engine algorithm and other easy to grasp applications. Through the progression from simple to complex, the teacher acquires knowledge of the state of the art of combinatorial theory. The non conventional simultaneous presentation of algorithms, programs and theory permits a  powerful mixture of theory and practice.

All in all, the originality of this approach gives a refreshing view on combinatorial theory.

Content:
Chapter 1 Some Historical Elements (pages 1–16):
Chapter 2 Arrangements and Combinations (pages 21–42):
Chapter 3 Enumerations in Alphabetical Order (pages 43–62):
Chapter 4 Enumeration by Tree Structures (pages 63–83):
Chapter 5 Languages, Generating Functions and Recurrences (pages 85–103):
Chapter 6 Routes in a Square Grid (pages 105–117):
Chapter 7 Arrangements and Combinations with Repetitions (pages 119–136):
Chapter 8 Sieve Formula (pages 137–164):
Chapter 9 Mountain Ranges or Parenthesis Words: Catalan Numbers (pages 165–196):
Chapter 10 Other Mountain Ranges (pages 197–213):
Chapter 11 Some Applications of Catalan Numbers and Parenthesis Words (pages 215–225):
Chapter 12 Burnside's Formula (pages 227–252):
Chapter 13 Matrices and Circulation on a Graph (pages 253–274):
Chapter 14 Parts and Partitions of a Set (pages 275–288):
Chapter 15 Partitions of a Number (pages 289–304):
Chapter 16 Flags (pages 305–313):
Chapter 17 Walls and Stacks (pages 315–329):
Chapter 18 Tiling of Rectangular Surfaces using Simple Shapes (pages 331–343):
Chapter 19 Permutations (pages 345–386):
Chapter 20 Reminders about Discrete Probabilities (pages 395–426):
Chapter 21 Chance and the Computer (pages 427–446):
Chapter 22 Discrete and Continuous (pages 447–468):
Chapter 23 Generating Function Associated with a Discrete Random Variable in a Game (pages 469–495):
Chapter 24 Graphs and Matrices for Dealing with Probability Problems (pages 497–508):
Chapter 25 Repeated Games of Heads or Tails (pages 509–534):
Chapter 26 Random Routes on a Graph (pages 535–564):
Chapter 27 Repetitive Draws until the Outcome of a Certain Pattern (pages 565–595):
Chapter 28 Probability Exercises (pages 597–635):
Chapter 29 Graphs and Routes (pages 643–659):
Chapter 30 Explorations in Graphs (pages 661–703):
Chapter 31 Trees with Numbered Nodes, Cayley's Theorem and Prufer Code (pages 705–722):
Chapter 32 Binary Trees (pages 723–735):
Chapter 33 Weighted Graphs: Shortest Paths and Minimum Spanning Tree (pages 737–758):
Chapter 34 Eulerian Paths and Cycles, Spanning Trees of a Graph (pages 759–778):
Chapter 35 Enumeration of Spanning Trees of an Undirected Graph (pages 779–797):
Chapter 36 Enumeration of Eulerian Paths in Undirected Graphs (pages 799–833):
Chapter 37 Hamiltonian Paths and Circuits (pages 835–865):