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008 110516s2011 xxk| s |||| 0|eng d
020 _a9780857296009
_9978-0-85729-600-9
040 _cMX-MeUAM
050 4 _aQA164-167.2
082 0 4 _a511.6
_223
100 1 _aCamina, Alan.
_eauthor.
245 1 3 _aAn Introduction to Enumeration
_h[recurso electrónico] /
_cby Alan Camina, Barry Lewis.
264 1 _aLondon :
_bSpringer London,
_c2011.
300 _aXII, 232p. 62 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Undergraduate Mathematics Series,
_x1615-2085
505 0 _aWhat Is Enumeration? -- Generating Functions Count -- Working with Generating Functions -- Permutation Groups -- Matrices, Sequences and Sums -- Group Actions and Counting -- Exponential Generating Functions -- Graphs -- partitions and Paths.
520 _aWritten for students taking a second or third year undergraduate course in mathematics or computer science, this book is the ideal companion to a course in enumeration. Enumeration is a branch of combinatorics where the fundamental subject matter is numerous methods of pattern formation and counting. An Introduction to Enumeration provides a comprehensive and practical introduction to this subject giving a clear account of fundamental results and a thorough grounding in the use of powerful techniques and tools. Two major themes run in parallel through the book,  generating functions and group theory. The former theme takes enumerative sequences and then uses analytic tools to discover how they are made up. Group theory provides a concise introduction to groups and illustrates how the theory can be used  to count the number of symmetries a particular object has. These enrich and extend basic group ideas and techniques. The authors present their material through examples that are carefully chosen to establish key results in a natural setting. The aim is to progressively build fundamental theorems and techniques. This development is interspersed with exercises that consolidate ideas and build confidence. Some exercises are linked to particular sections while others range across a complete chapter. Throughout, there is an attempt to present key enumerative ideas in a graphic way, using diagrams to make them immediately accessible. The development assumes some basic group theory, a familiarity with analytic functions and their power series expansion along with  some basic linear algebra.
650 0 _aMathematics.
650 0 _aGroup theory.
650 0 _aCombinatorics.
650 1 4 _aMathematics.
650 2 4 _aCombinatorics.
650 2 4 _aGroup Theory and Generalizations.
700 1 _aLewis, Barry.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780857295996
830 0 _aSpringer Undergraduate Mathematics Series,
_x1615-2085
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-85729-600-9
596 _a19
942 _cLIBRO_ELEC
999 _c198473
_d198473