id: 06126519
dt: b
an: 2013e.00639
au: Soberón Bravo, Pablo
ti: Problem-solving methods in combinatorics. An approach to Olympiad problems.
so: New York, NY: Birkhäuser/Springer (ISBN 978-3-0348-0596-4/pbk;
978-3-0348-0597-1/ebook). ix, 174~p. (2013).
py: 2013
pu: New York, NY: Birkhäuser/Springer
la: EN
cc: K20 U40 D50
ut: problems in combinatorics; combinatorial principles; graph theory;
generating functions; partitions; invariant; problem-solving
methodology
ci:
li: doi:10.1007/978-3-0348-0597-1
ab: Traditionally, one or more problems in combinatorics are included in the
fix final selected problem at every IMO, and usually are the most
difficult. Many authors have tried to present the necessary methods for
solving them, but the theoretical background needed reduces the
usability of such a book. The structure of the present book introduce
in a very clever and direct way almost all the necessary notions, while
involving the reader to a problem-solving methodology in order to
confront very demanding tasks in combinatorics. The necessary notions:
combinatorial principles, graph theory, generating functions and
partitions are shortly but very successfully presented in Chapters 1,
2, and 4‒7. A very interesting chapter concerning invariants in
combinatorics is included, along with a chapter which should be used by
the readers with proposed limits for the problems. The book is
concluded with the full solutions of the problems.
rv: Panayiotis Vlamos (Athens)