Cambridge University Press, 2020, 969+xx pages, nearly 2200 exercises, nearly
500 figures, more than 2300 references, ISBN 978-1-107-05858-3. Can be ordered
from CUP at this link,
which also enables instructors to request an examination copy. The book is a
thorough introduction to combinatorics at the graduate level, with 16 chapters
organized into four Parts: Enumeration, Graphs, Sets, and Methods
(detailed contents and preface here).
It assumes the mathematical maturity of graduate students but no prior
combinatorics. It contains ample material for a two-semester sequence and
is also suitable for a one-semester background course leading to advanced
courses (cover, promo photo).
The resource page lists errata, comments, and
supplementary problems.
Second edition: Prentice Hall 2001, 588+xx pages, 1296 exercises, 447 figures,
ISBN 978-0131437371 (now printed as paperback "Classic Edition", 1st ed 1996).
Used at many schools in the U.S. and abroad. Suitable for undergraduate
or graduate use, with an extensive final chapter of advanced topics beyond the
undergraduate course. Instructors can obtain the
solution manual
from the publisher after providing the requested information for identification.
Second edition: Prentice Hall 2000, 412+xx pages, 930 exercises,
ISBN 0-13-014412-6 (1st ed 1997). Used at many schools in the U.S.
Instructors can obtain the
solution manual
from the publisher after providing the requested information for identification.
Has been used in a variety of courses:
"Transition" courses (introduction to proofs), Seminar courses in
problem-solving, Proof-oriented introductions to discrete mathematics,
Basic analysis courses.
Four advanced graduate textbooks and research references on classical and modern
combinatorics. Preliminary versions available by special arrangement for use in
specialized graduate courses; not available for individuals.