Bijective combinatorics / Nicholas A. Loehr.
Material type: TextSeries: Discrete mathematics and its applicationsPublication details: Boca Raton, Fla. ; London : CRC Press, c2011.Description: xxii, 590 p. : ill. ; 27 cmISBN:- 9781439848845 (hbk. : alk. paper)
- 143984884X (hbk. : alk. paper)
- 511/.62 22
- QA164 .L64 2011
Item type | Current library | Call number | Copy number | Status | Date due | Barcode |
---|---|---|---|---|---|---|
General Books | CUTN Central Library Sciences | 511/.62 (Browse shelf(Opens below)) | 1 | Available | 9063 |
Browsing CUTN Central Library shelves, Shelving location: Sciences Close shelf browser (Hides shelf browser)
511.6 STI Combinatorial Designs Constructions Analysis / | 511.6 TUC Applied combinatorics / | 511.6076 Schaum's outline of theory and problems of combinatorics | 511/.62 Bijective combinatorics / | 511.8 It's a nonlinear world / | 511/.8 Mathematical modelling / | 511/.8 Mathematical modelling / |
"A Chapman & Hall book" --t.p.
Includes bibliographical references and index.
"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, Bijective Combinatorics presents a general introduction to enumerative and algebraic combinatorics that emphasizes bijective methods.The text systematically develops the mathematical tools, such as basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear-algebraic methods, needed to solve enumeration problems. These tools are used to analyze many combinatorial structures, including words, permutations, subsets, functions, compositions, integer partitions, graphs, trees, lattice paths, multisets, rook placements, set partitions, Eulerian tours, derangements, posets, tilings, and abaci. The book also delves into algebraic aspects of combinatorics, offering detailed treatments of formal power series, symmetric groups, group actions, symmetric polynomials, determinants, and the combinatorial calculus of tableaux. Each chapter includes summaries and extensive problem sets that review and reinforce the material.Lucid, engaging, yet fully rigorous, this text describes a host of combinatorial techniques to help solve complicated enumeration problems. It covers the basic principles of enumeration, giving due attention to the role of bijective proofs in enumeration theory" --Provided by publisher.
There are no comments on this title.