AQA A Level Further Mathematics Discrete
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Description
Contents
Reviews
Language
English
ISBN
9781510430129
Cover
Title Page
Copyright Page
Contents
Getting the most from this book
Prior knowledge
1 Graphs
1.1 The language of graphs
1.2 Eulerian, Hamiltonian and planar graphs
1.3 Further graph theory
1.4 Isomorphisms
1.5 Kuratowskiâs theorem
2 Networks
2.1 The language of networks
2.2 The minimum connector problem
2.3 The route inspection problem
2.4 The travelling salesperson problem
3 Linear programming
3.1 Formulating constrained optimisation problems
3.2 Solving constrained optimisation problems
3.3 The Simplex algorithm
4 Critical path analysis
4.1 Constructing a network using activity on-node
4.2 Determining earliest start times and latest finish times
4.3 Identifying critical paths
4.4 Gantt charts and resource histograms
4.5 Resource problems
5 Network flows
5.1 The language of network flows
5.2 Maximum flowâminimum cut theorem
5.3 Multiple sources and sinks
5.4 Flow augmenting
5.5 Refinements
6 Game theory
6.1 Pay-off matrices
6.2 Play-safe strategies
6.3 Dominated strategies
6.4 Optimal mixed strategies
6.5 Converting games to linear programming problems
7 Binary operations and group theory
7.1 Binary operations
7.2 The language of groups
7.3 Cyclic groups
7.4 Non-cyclic groups
7.5 Subgroups
7.6 Isomorphisms
Answers
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