Discrete Mathematics and Its Applications- Combinatorics

Discrete Mathematics and Its Applications- Combinatorics

Bijective proofs are some of the most elegant and powerful techniques in all of mathematics. Suitable for readers without prior background in algebra or combinatorics, the book presents an introduction to enumerative and algebraic combinatorics emphasizing bijective methods.





Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects. The author has written the textbook to be accessible to readers without any prior background in abstract algebra or combinatorics.

Part I of the second edition develops an array of mathematical tools to solve counting problems: basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear algebraic methods. These tools are used to analyze combinatorial structures such as words, permutations, subsets, functions, graphs, trees, lattice paths, and much more.

Part II cover topics in algebraic combinatorics including group actions, permutation statistics, symmetric functions, and tableau combinatorics.

This edition provides greater coverage of the use of ordinary and exponential generating functions as a problem-solving tool. Along with two new chapters, several new sections, and improved exposition throughout, the textbook is brimming with many examples and exercises of various levels of difficulty.


Auteur | Nicholas Loehr
Taal | Engels
Type | Paperback
Categorie | Wetenschap & Natuur

bol logo

Kijk verder

Boekomslag voor ISBN: 9781138325081
Boekomslag voor ISBN: 9781032816524
Boekomslag voor ISBN: 9780815361961
Boekomslag voor ISBN: 9781107164079
Boekomslag voor ISBN: 9780367222581
Boekomslag voor ISBN: 9783540328971


Boekn ©