000 02490 a2200205 4500
008 140323b2013 xxu||||| |||| 00| 0 eng d
020 _a9781118637531
082 _a511.6
_bE7I6
100 _aErickson, Martin J.
_9249875
245 _aIntroduction to combinatorics
_cErickson, Martin J.
250 _a2nd ed.
260 _c2013
_bJohn Wiley & Sons
_aNew Jersey
300 _axii, 230 p.
365 _aUSD
_b94.95
440 _aWiley Series in Discrete Mathematics and Optimization
_9247834
520 _aFeaturing a modern approach, Introduction to Combinatorics, Second Edition illustrates the applicability of combinatorial methods and discusses topics that are not typically addressed in literature, such as Alcuin’s sequence, Rook paths, and Leech’s lattice. The book also presents fundamental results, discusses interconnection and problem-solving techniques, and collects and disseminates open problems that raise questions and observations. Many important combinatorial methods are revisited and repeated several times throughout the book in exercises, examples, theorems, and proofs alike, allowing readers to build confidence and reinforce their understanding of complex material. In addition, the author successfully guides readers step-by-step through three major achievements of combinatorics: Van der Waerden’s theorem on arithmetic progressions, Pólya’s graph enumeration formula, and Leech’s 24-dimensional lattice. Along with updated tables and references that reflect recent advances in various areas, such as error-correcting codes and combinatorial designs, the Second Edition also features: Many new exercises to help readers understand and apply combinatorial techniques and ideas A deeper, investigative study of combinatorics through exercises requiring the use of computer programs Over fifty new examples, ranging in level from routine to advanced, that illustrate important combinatorial concepts Basic principles and theories in combinatorics as well as new and innovative results in the field Introduction to Combinatorics, Second Edition is an ideal textbook for a one- or two-semester sequence in combinatorics, graph theory, and discrete mathematics at the upper-undergraduate level. The book is also an excellent reference for anyone interested in the various applications of elementary combinatorics.
650 _aCombinatorial analysis
700 _aMathematics, Discrete Mathematics
_9247835
942 _cBK
999 _c378208
_d378208