An introduction to discrete mathematics giving an overview of the range of mathematical techniques available to students. Assuming little prior knowledge and with the minimum of complication, the book gives an account of the foundations of modern mathematics: logic; sets; relations and functions.
- Limba : Engleza
- Cuprins : 1. Logic - Introduction * Truth tables * Conditional propositions * Quantifiers * Types of proof * Mathematical induction * Project * Summary. 2. Sets - Introduction * Operations on sets * De Morgan's Laws * Power sets * Inclusion-exclusion * Products and partitions * Finite and infinite * Paradoxes * Projects * Summary. 3. Relations and Functions - Relations * Equivalence relations * Partial orders * Diagrams of relations * Functions * One-one and onto * Composition of functions * The inverse of a function * The pigeonhole principle * Projects * Summary. 4. Combinatorics - History * Sum and product * Premutations and combinations * Pascal's triangle * The binominal theorem * Multinominals and rearrangements * Projects * Summary 5. Probability - Introduction * Equally likely outcomes * Experiments with outcomes which are not equally likely * The sample space, outcomes and events * Conditional probability, independence and Bayes' theorem * Projects * Summary. 6. Graphs - Introduction * Definitions and example
- Data Publicarii : 17 Sep 1995
- Format : Paperback
- Numar pagini : 224
- ISBN : 9780340610473