000			03871cam a22005531i 4500
001			9781351036825
003			FlBoTFG
005			20220711212852.0
006			m d
007			cr |||||||||||
008			191115s2019 flua o 000 0 eng d
040			_aOCoLC-P _beng _erda _epn _cOCoLC-P
020			_a9781351036801 _q(ePub ebook) :
020			_a1351036807
020			_a9781351036818 _q(PDF ebook) :
020			_a1351036815
020			_a9781351036795 _q(Mobipocket ebook) :
020			_a1351036793
020			_a9781351036825 _q(ebook) :
020			_a1351036823
020			_z9781138489769 (hbk.)
024	7		_a10.1201/9781351036825 _2doi
035			_a(OCoLC)1129672805
035			_a(OCoLC-P)1129672805
050		4	_aQA164
072		7	_aMAT _x000000 _2bisacsh
072		7	_aMAT _x036000 _2bisacsh
072		7	_aPBV _2bicssc
082	0	4	_a511.6 _223
100	1		_aMishna, Marni, _eauthor. _920342
245	1	0	_aAnalytic combinatorics : _ba multidimensional approach / _cMarni Mishna.
250			_a1st.
264		1	_aBoca Raton : _bChapman & Hall/CRC, _c2019.
300			_a1 online resource : _billustrations (black and white).
336			_atext _2rdacontent
336			_astill image _2rdacontent
337			_acomputer _2rdamedia
338			_aonline resource _2rdacarrier
490	1		_aDiscrete mathematics and its applications
500			_a<P>A Primer on Combinatorical Calculus</P><P>Combinatorical Parameters</P><P>Derived and Transcendental Classes</P><P>Generating Functions as Analytic Objects</P><P>Parallel Taxonomies</P><P>Singularities of Multvariable Rational Functions</P><P>Integration and Multivariable Coefficient Asymptotics</P><P>Multiple Points</P><P>Partitions</P><P>Bibliography</P><P>Glossary</P><P>Index</P>
520			_aAnalytic Combinatorics: A Multidimensional Approach is written in a reader-friendly fashion to better facilitate the understanding of the subject. Naturally, it is a firm introduction to the concept of analytic combinatorics and is a valuable tool to help readers better understand the structure and large-scale behavior of discrete objects. Primarily, the textbook is a gateway to the interactions between complex analysis and combinatorics. The study will lead readers through connections to number theory, algebraic geometry, probability and formal language theory. The textbook starts by discussing objects that can be enumerated using generating functions, such as tree classes and lattice walks. It also introduces multivariate generating functions including the topics of the kernel method, and diagonal constructions. The second part explains methods of counting these objects, which involves deep mathematics coming from outside combinatorics, such as complex analysis and geometry. Features Written with combinatorics-centric exposition to illustrate advanced analytic techniques Each chapter includes problems, exercises, and reviews of the material discussed in them Includes a comprehensive glossary, as well as lists of figures and symbols About the author Marni Mishna is a professor of mathematics at Simon Fraser University in British Columbia. Her research investigates interactions between discrete structures and many diverse areas such as representation theory, functional equation theory, and algebraic geometry. Her specialty is the development of analytic tools to study the large-scale behavior of discrete objects.
588			_aOCLC-licensed vendor bibliographic record.
650		0	_aCombinatorial analysis. _96897
650		7	_aMATHEMATICS / General _2bisacsh _920343
650		7	_aMATHEMATICS / Combinatorics _2bisacsh _910914
856	4	0	_3Taylor & Francis _uhttps://www.taylorfrancis.com/books/9781351036825
856	4	2	_3OCLC metadata license agreement _uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
942			_cEBK
999			_c72360 _d72360