Table of Contents

Preface Preliminaries 1. Fundamental Concepts and Examples 2. Duality 3. Lattice Theory and Matroids 4. Submatroids 5. Matroid Connection 6. Matroids, Graphs and Planarity 7. Transversal Theory 8. Covering and Packing 9. The Vector representation of Matroids 10. Binary Matroids 11. Matroids from Fields and Groups 12. Block Designs and matroids 13. Menger's Theorem and Linkings in Graphs 14. Transversal Matroids and Related Topics 15. Polynomials, Colouring Problems, Codes and packings 16. Extremal Problems 17. Maps between Matroids and Geometric Lattices 18. Convex Polytopes associated with Matroids 19. Combinatorial OPtimisation 20. Infinite Structures Bibliography Index of Symbols Index