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bookbib.bib
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@book{soberon2013,
title = {{Problem-Solving Methods in Combinatorics}},
author = {Pablo Soberón},
publisher = {Birkhäuser},
year = {2013},
ISBN = {978-3-0348-0596-4},
DOI = {10.1007/978-3-0348-0597-1},
}
@book{engel1998,
title = {{Problem-Solving Strategies}},
author = {Arthur Engel},
publisher = {Springer},
year = {1998},
ISBN = {0-387-98219-1},
}
@booklet{sriram2014,
title = {{Olympiad Combinatorics}},
author = {Pranav Sriram},
year = {2014},
}
@book{zeitz2007,
title = {{The Art and Craft of Problem Solving}},
author = {Paul Zeitz},
edition = {2nd},
publisher = {Springer},
year = {2007},
}
@book{benjamin2003,
title = {{Proofs that Really Count: The Art of Combinatorial Proof}},
author = {Arthur T. Benjamin and Jennifer J. Quinn},
publisher = {The Mathematical Association of America},
year = {2003},
edition = {1st},
series = {Dolciani Mathematical Expositions},
volume = {27},
}
@book{graham1994,
title = {Concrete Mathematics: A Foundation for Computer Science },
author = {Ronald Graham, Donald Knuth and Oren Patashnik},
publisher = {Addison-Wesley},
isbn = {0-201-55802-5},
year = {1994},
}
@book{stanley2000,
title = {{Enumerative Combinatorics}},
author = {Richard P. Stanley},
publisher = {Cambridge University Press},
isbn = {0521663512,9780521663519},
year = {2000},
series = {},
edition = {2nd},
volume = {Volume 1},
}
@book{andreescu2004,
title = {{A Path to Combinatorics for Undergraduates}},
author = {Titu Andreescu and Zuming Feng},
publisher = {Springer},
year = {2004},
ISBN = {978-0-8176-4288-4},
DOI = {10.1007/978-0-8176-8154-8}
}
@book{marcus1999,
title = {{Combinatorics: A Problem Oriented Approach}},
author = {Daniel A. Marcus},
publisher = {The Mathematical Association of America},
series = {MAA Textbooks},
year = {1999},
ISBN = {9780883859810},
}
@book{andreescu2003,
title = {{102 Combinatorial Problems From the Training of the USA IMO Team}},
author = {Titu Andreescu and Zuming Feng},
publisher = {Birkhäuser},
year = {2003},
ISBN = {978-0-8176-8222-4},
}
@article{li1995,
title = {{Pigeonhole Principle}},
author = {Kin-Yin Li},
journal = {Mathematical Excalibur},
year = {1995},
volume = {1},
number = {1},
note = {Available from: \url{https://www.math.ust.hk/excalibur/v1_n1.pdf}},
}
@article{li2008,
title = {{Double Counting}},
author = {Law Ka Ho, Leung TatWing and Li Kin Yin},
journal = {Mathematical Excalibur},
year = {2008},
volume = {13},
number = {4},
note = {Available from: \url{https://www.math.ust.hk/excalibur/v13_n4.pdf}},
}
@article{erdos1935,
title = {{A Combinatorial Problem in Geometry}},
author = {Paul Erd{\uccoff\fontfamily{lmr}\selectfont\H{o}\uccon}s and George Szekeres},
journal = {Compositio Mathematica},
year = {1935},
volume = {2},
page = {463-470},
DOI = {10.1007/978-0-8176-4842-8_3},
}
@book{prusinkiewicz1990,
title = {{The Algorithmic Beauty of Plants}},
author = {Przemysław Prusinkiewicz and Aristid Lindenmayer},
publisher = {Springer-Verlag},
year = {1996},
edition = {2nd},
}
@book{wolfram2002,
title = {{A New Kind of Science}},
author = {Wolfram, Stephen},
year = {2002},
publisher = {Wolfram Media},
ISBN = {1-57955-008-8},
URL = {http://www.wolframscience.com}
}
@book{nelsen1993,
title = {{Proofs without Words: Exercises in Visual Thinking}},
author = {Roger B. Nelsen},
year = {1993},
publisher = {The Mathematical Association of America},
volume = {1},
edition = {1st},
ISBN = {0-88385-700-6},
}
@misc{tuffley2009,
title = {{Recurrence relations}},
author = {Chris Tuffley},
publisher = {New Zealand Mathematical Olympiad Committee},
year = {2009},
month = {January}
}
@book{patrick2005,
title = {{Introduction to Counting and Probability}},
author = {David Patrick},
publisher = {AoPS Incorporated},
year = {2005},
ISBN = {0-9773045-0-7}
}
@article{benjamin2008,
title = {{Tiling Proofs of Recent Sum Identities Involving Pell Numbers}},
author = {Arthur T. Benjamin and Sean S. Plott and James A. Sellers},
journal = {Annals of Combinatorics},
year = {2008},
volume = {12},
number = {3},
page = {271-278}
}
@article{wegert2009,
title = {{Relaxation procedures on graphs}},
author = {Elias Wegert and Christian Reiher },
journal = {Discrete Applied Mathematics},
year = {2009},
volume = {157},
number = {9},
page = {2207-2216}
}
@article{ensley1999,
title = {{Invariants under Group Actions to Amaze Your Friends}},
author = {Douglas E. Ensley},
journal = {Mathematics Magazine},
year = {1999},
volume = {72},
number = {5},
page = {383-387}
}
@misc{tang2008,
title = {{IMO Training 2008: Graph Theory}},
author = {Adrian Tang},
note = {Available from \url{https://sites.google.com/site/imocanada/}}
}
@misc{krakovna2010,
title = {{IMO Training 2010: Double Counting}},
author = {Victoria Krakovna},
note = {Available from \url{https://sites.google.com/site/imocanada/}}
}
@misc{lavrov2013,
title = {{Probability}},
author = {Misa Lavrov},
note = {Available from \url{http://www.math.cmu.edu/~mlavrov/arml/12-13/probability-05-05-13.pdf}}
}
@misc{sheffield2018,
title = {{MIT Course 18.600 Probability and Random Variables: Spring 2018}},
author = {Scott Sheffield},
note = {Available from \url{http://math.mit.edu/~sheffield/spring2018math600.html}}
}
@misc{zhao2018,
title = {{MIT Course 18.211 Combinatorial Analysis: Fall 2018}},
author = {Yufei Zhao},
note = {Available from \url{http://yufeizhao.com/211/}}
}
@book{hardy2008,
title = {An Introduction to the Theory of Numbers, Sixth Edition},
author = {G. H. Hardy, Edward M. Wright; Editors: D. R. Heath-Brown, Joseph H. Silverman},
publisher = {Oxford University Press},
isbn = {0199219869,9787115214270,9780199219865,7115214271},
year = {2008},
series = {},
edition = {6},
volume = {},
}
@book{singh1997,
title = {Fermat's Last Theorem},
author = {Simon Singh},
publisher = {Fourth Estate},
isbn = {1857025210,9781857025217},
year = {1997},
series = {},
edition = {First},
volume = {},
}
@misc{sanderson2015,
title = {{Circle Division Solution}},
author = {Grant Sanderson},
note = {Available from 3blue1brown, \url{https://www.youtube.com/watch?v=K8P8uFahAgc}}
}
@misc{miller2011,
title = {{Lecture 17 - Induction by Faith}},
author = {Yoni Miller},
publisher = {Online Math Circle},
year = {2011},
}
@misc{tsimerman2010,
title = {{A Closer Look at Induction}},
author = {Jacob Tsimerman},
year = {2010},
note = {Available from \url{https://sites.google.com/site/imocanada/}}
}
@misc{loh2003,
title = {{MOP 2003 - Induction}},
author = {Po Shen Loh},
year = {2003},
note = {Available from \url{http://www.math.cmu.edu/~ploh/olympiad.shtml}}
}
@misc{loh2013,
title = {{MOP 2013 - Graph Theory}},
author = {Po Shen Loh},
year = {2013},
note = {Available from \url{http://www.math.cmu.edu/~ploh/olympiad.shtml}}
}
@article{Julious1480,
author = {Julious, Steven A and Mullee, Mark A},
title = {{Confounding and Simpson{\textquoteright}s paradox}},
volume = {309},
number = {6967},
pages = {1480--1481},
year = {1994},
doi = {10.1136/bmj.309.6967.1480},
publisher = {BMJ Publishing Group Ltd},
issn = {0959-8138},
URL = {https://www.bmj.com/content/309/6967/1480},
eprint = {https://www.bmj.com/content},
journal = {BMJ}
}
@book{sipser13,
address = {Boston, MA},
author = {Michael Sipser},
edition = {Third},
interhash = {ba5fd05e9f15a677c2c9e619c57de9a7},
intrahash = {a275d239d3a005a2a0825e49ce8dced5},
isbn = {113318779X},
keywords = {automata complexity computation hamiltonian np-hardness sipser textbook},
publisher = {Course Technology},
refid = {814441519},
timestamp = {2016-12-04T08:23:19.000+0100},
title = {{Introduction to the Theory of Computation}},
year = 2013
}
@misc{wintner2008,
title = {{Complexity of Natural Languages}},
author = {Shuly Wintner},
howpublished = {Computational Linguistics, Winter 2007/08, University of Haifa},
note = {Available from: \url{http://cs.haifa.ac.il/~shuly/teaching/08/nlp/complexity.pdf}}
}
@misc{polster2017,
title = {{NYT: Sperner's lemma defeats the rental harmony problem}},
author = {Burkard Polster},
note = {Available from Mathologer, \url{https://www.youtube.com/watch?v=7s-YM-kcKME}}
}
@misc{polster2015,
title = {{A seriously twisted Rubik's cube invariant}},
author = {Burkard Polster},
note = {Available from Mathologer, \url{https://www.youtube.com/watch?v=ukMnXwF9y4c}}
}
@article{wagon1987,
title = {{Fourteen Proofs of a Result About Tiling a Rectangle}},
author = {Stan Wagon},
journal = {American Mathematical Monthly},
year = {1987},
volume = {94},
number = {7},
page = {601-617}
}
@misc{gubner2014,
title = {{Permutations, the Parity Theorem, and Determinants}},
author = {John A. Gubner},
note = {Available from \url{http://gubner.ece.wisc.edu/notes/PermutationsAndDeterminants.pdf}}
}
@misc{trapa2004,
title = {{Permutations and the 15-Puzzle}},
author = {Peter Trapa},
note = {Available from \url{https://www.math.utah.edu/mathcircle/notes/permutations.pdf}}
}
@misc{xu2012,
title = {{Sperner's Lemma}},
author = {Moor Xu},
note = {Available from \url{https://math.berkeley.edu/~moorxu/misc/equiareal.pdf}}
}
@misc{das2017,
title = {{Sperner's Lemma and its applications}},
author = {Shagnik Das and Tibor Szabó},
note = {Available from \url{http://discretemath.imp.fu-berlin.de/DMII-2017-18/Sperner.pdf}}
}