Combinatorics An Introduction.

Detalles Bibliográficos
Autor principal: Faticoni, Theodore G.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2013.
Colección:New York Academy of Sciences Ser.
Temas:
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Intro
  • Contents
  • Title Page
  • Copyright
  • Dedication
  • Preface
  • Chapter 1: Logic
  • 1.1 Formal Logic
  • 1.2 Basic Logical Strategies
  • 1.3 The Direct Argument
  • 1.4 More Argument Forms
  • 1.5 Proof by Contradiction
  • 1.6 Exercises
  • Chapter 2: Sets
  • 2.1 Set Notation
  • 2.2 Predicates
  • 2.3 Subsets
  • 2.4 Union and Intersection
  • 2.5 Exercises
  • Chapter 3: Venn Diagrams
  • 3.1 Inclusion/Exclusion Principle
  • 3.2 Two-Circle Venn Diagrams
  • 3.3 Three-Square Venn Diagrams
  • 3.4 Exercises
  • Chapter 4: Multiplication Principle
  • 4.1 What Is the Principle?
  • 4.2 Exercises
  • Chapter 5: Permutations
  • 5.1 Some Special Numbers
  • 5.2 Permutations Problems
  • 5.3 Exercises
  • Chapter 6: Combinations
  • 6.1 Some Special Numbers
  • 6.2 Combination Problems
  • 6.3 Exercises
  • Chapter 7: Problems Combining Techniques
  • 7.1 Significant Order
  • 7.2 Order Not Significant
  • 7.3 Exercises
  • Chapter 8: Arrangement Problems
  • 8.1 Examples of Arrangements
  • 8.2 Exercises
  • Chapter 9: At Least, At Most, and Or
  • 9.1 Counting with Or
  • 9.2 At Least, At Most
  • 9.3 Exercises
  • Chapter 10: Complement Counting
  • 10.1 The Complement Formula
  • 10.2 A New View of "At Least"
  • 10.3 Exercises
  • Chapter 11: Advanced Permutations
  • 11.1 Venn Diagrams and Permutations
  • 11.2 Exercises
  • Chapter 12: Advanced Combinations
  • 12.1 Venn Diagrams and Combinations
  • 12.2 Exercises
  • Chapter 13: Poker and Counting
  • 13.1 Warm-Up Problems
  • 13.2 Poker Hands
  • 13.3 Jacks or Better
  • 13.4 Exercises
  • Chapter 14: Advanced Counting
  • 14.1 Indistinguishable Objects
  • 14.2 Circular Permutations
  • 14.3 Bracelets
  • 14.4 Exercises
  • Chapter 15: Algebra and Counting
  • 15.1 The Binomial Theorem
  • 15.2 Identities
  • 15.3 Exercises
  • Chapter 16: Derangements
  • 16.1 Mathematical Induction
  • 16.2 Fixed-Point Theorems
  • 16.3 His Own Coat
  • 16.4 Inclusion/Exclusion for Many Sets
  • 16.5 A Common Miscount
  • 16.6 Exercises
  • Chapter 17: Probability Vocabulary
  • 17.1 Vocabulary
  • Chapter 18: Equally Likely Outcomes
  • 18.1 Outcomes in Experiments
  • 18.2 Exercises
  • Chapter 19: Probability Trees
  • 19.1 Tree Diagrams
  • 19.2 Exercises
  • Chapter 20: Independent Events
  • 20.1 Independence
  • 20.2 Logical Consequences of Influence
  • 20.3 Exercises
  • Chapter 21: Sequences and Probability
  • 21.1 Sequences of Events
  • 21.2 Exercises
  • Chapter 22: Conditlonal Probability
  • 22.1 What Does Conditional Mean?
  • 22.2 Exercises
  • Chapter 23: Bayes' Theorem
  • 23.1 The Theorem
  • 23.2 Exercises
  • Chapter 24: Statistics
  • 24.1 Introduction
  • 24.2 Probability Is Not Statistics
  • 24.3 Conversational Probability
  • 24.4 Conditional Statistics
  • 24.5 The Mean
  • 24.6 Median
  • 24.7 Randomness
  • Chapter 25: Linear Programming
  • 25.1 Continuous Variables
  • 25.2 Discrete Variables
  • 25.3 Incorrectly Applied Rules
  • Chapter 26: Subjective Truth
  • 26.1 The Absolute Truth of Axioms
  • Bibliography
  • Index

Ejemplares similares