Editing Pick's theorem (section)

==References==
{{reflist|refs=

<ref name=az>{{cite book | last1 = Aigner | first1 = Martin | author1-link = Martin Aigner | last2 = Ziegler | first2 = Günter M. | author2-link = Günter M. Ziegler | contribution = Three applications of Euler’s formula: Pick's theorem | doi = 10.1007/978-3-662-57265-8 | edition = 6th | isbn = 978-3-662-57265-8 | pages = 93–94 | publisher = Springer | title = Proofs from THE BOOK | title-link = Proofs from THE BOOK | year = 2018}}</ref>

<ref name=ball>{{cite book | last = Ball | first = Keith | author-link = Keith Martin Ball | contribution = Chapter 2: Counting Dots | isbn = 0-691-11321-1 | mr = 2015451 | pages = 25–40 | publisher = Princeton University Press, Princeton, NJ | title = Strange Curves, Counting Rabbits, and Other Mathematical Explorations | year = 2003}}</ref>

<ref name=barvinok>{{cite book
 | last = Barvinok | first = Alexander | authorlink = Alexander Barvinok
 | doi = 10.4171/052
 | isbn = 978-3-03719-052-4
 | mr = 2455889
 | publisher = European Mathematical Society | location = Zürich
 | series = Zurich Lectures in Advanced Mathematics
 | title = Integer Points In Polyhedra
 | year = 2008| volume = 11 }}</ref>

<ref name=bcrt>{{cite journal
 | last1 = Brandolini | first1 = L.
 | last2 = Colzani | first2 = L.
 | last3 = Robins | first3 = S.
 | last4 = Travaglini | first4 = G.
 | doi = 10.1080/00029890.2021.1839241
 | issue = 1
 | journal = [[The American Mathematical Monthly]]
 | mr = 4200451
 | pages = 41–49
 | title = Pick's theorem and convergence of multiple Fourier series
 | volume = 128
 | year = 2021| s2cid = 231624428
 }}</ref>


<ref name=bellhouse>{{cite journal
 | last = Bellhouse | first = D. R.
 | doi = 10.2307/2530419
 | issue = 2
 | journal = Biometrics
 | jstor = 2530419
 | mr = 673040
 | pages = 303–312
 | title = Area estimation by point-counting techniques
 | volume = 37
 | year = 1981}}</ref>

<ref name=braden>{{cite journal|first=Bart|last=Braden|title=The surveyor's area formula|journal=The College Mathematics Journal|volume=17|issue=4|year=1986|pages=326–337|url=http://www.maa.org/sites/default/files/pdf/pubs/Calc_Articles/ma063.pdf|doi=10.2307/2686282|jstor=2686282|access-date=2021-07-04|archive-date=2015-04-06|archive-url=https://web.archive.org/web/20150406152731/http://www.maa.org/sites/default/files/pdf/pubs/Calc_Articles/ma063.pdf|url-status=dead}}</ref>

<ref name=bruarc>{{cite journal
 | last1 = Bruckheimer | first1 = Maxim
 | last2 = Arcavi | first2 = Abraham
 | doi = 10.1007/BF03024792
 | issue = 4
 | journal = [[The Mathematical Intelligencer]]
 | mr = 1365013
 | pages = 64–67
 | title = Farey series and Pick's area theorem
 | volume = 17
 | year = 1995| s2cid = 55051527
 }}</ref>

<ref name=diaz-robins>{{cite journal
 | last1 = Diaz | first1 = Ricardo
 | last2 = Robins | first2 = Sinai
 | doi = 10.2307/2975035
 | issue = 5
 | journal = [[The American Mathematical Monthly]]
 | jstor = 2975035
 | mr = 1327788
 | pages = 431–437
 | title = Pick's formula via the Weierstrass {{nowrap|<math>\wp</math>-function}}
 | volume = 102
 | year = 1995}}</ref>

<ref name=discretely>{{cite book | last1 = Beck | first1 = Matthias | last2 = Robins | first2 = Sinai | contribution = 2.6 Pick's theorem | doi = 10.1007/978-1-4939-2969-6 | edition = 2nd | isbn = 978-1-4939-2968-9 | mr = 3410115 | pages = 40–43 | publisher = Springer | series = Undergraduate Texts in Mathematics | title = Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra | year = 2015}}</ref>
<ref name=br2>{{harvtxt|Beck|Robins|2015}}, 3.6 "From the discrete to the continuous volume of a polytope", pp. 76–77</ref>

<ref name=edward>{{cite book|last=Martin|first=George Edward|doi=10.1007/978-1-4612-5680-9|isbn=0-387-90636-3|mr=718119|at=Theorem 12.1, page 120|publisher=Springer-Verlag|series=Undergraduate Texts in Mathematics|title=Transformation geometry|url=https://books.google.com/books?id=gevlBwAAQBAJ&pg=PA120|year=1982}}</ref>

<ref name=ehrhart>{{cite journal | last1 = Diaz | first1 = Ricardo | last2 = Robins | first2 = Sinai | doi = 10.2307/2951842 | issue = 3 | journal = [[Annals of Mathematics]] | mr = 1454701 | pages = 503–518 | series = Second Series | title = The Ehrhart polynomial of a lattice polytope | volume = 145 | year = 1997| jstor = 2951842 }}</ref>

<ref name=equivalence>{{cite journal
 | last1 = DeTemple | first1 = Duane
 | last2 = Robertson | first2 = Jack M.
 | date = March 1974
 | doi = 10.5951/mt.67.3.0222
 | issue = 3
 | journal = [[The Mathematics Teacher]]
 | jstor = 27959631
 | mr = 0444503
 | pages = 222–226
 | title = The equivalence of Euler's and Pick's theorems
 | volume = 67}}</ref>

<ref name=funkenbusch>{{cite journal
 | last = Funkenbusch | first = W. W.
 | department = Classroom Notes
 | date = June–July 1974
 | doi = 10.2307/2319224
 | issue = 6
 | journal = [[The American Mathematical Monthly]]
 | jstor = 2319224
 | mr = 1537447
 | pages = 647–648
 | title = From Euler's formula to Pick's formula using an edge theorem
 | volume = 81}}</ref>

<ref name=gs>{{cite journal | last1 = Grünbaum | first1 = Branko | author1-link = Branko Grünbaum | last2 = Shephard | first2 = G. C. | author2-link = Geoffrey Colin Shephard | date = February 1993 | doi = 10.2307/2323771 | issue = 2 | journal = [[The American Mathematical Monthly]] | jstor = 2323771 | pages = 150–161 | title = Pick's theorem | volume = 100 | mr = 1212401}}</ref>

<ref name=guy>{{cite book
 | last = Guy | first = Richard K. | author-link = Richard K. Guy
 | contribution = F1: Gauß's lattice point problem
 | doi = 10.1007/978-0-387-26677-0
 | edition = 3rd
 | isbn = 0-387-20860-7
 | mr = 2076335
 | pages = 365–367
 | publisher = Springer-Verlag | location = New York
 | series = Problem Books in Mathematics
 | title = Unsolved Problems in Number Theory
 | year = 2004| volume = 1 }}</ref>

<ref name=kiradjiev>{{cite magazine|url=http://www.maths.ox.ac.uk/system/files/attachments/ECMPick.pdf|title=Connecting the dots with Pick's theorem|first=Kristian|last=Kiradjiev|magazine=Mathematics Today|date=October 2018|pages=212–214}}</ref>

<ref name=minkowski>{{cite journal
 | last1 = Ram Murty | first1 = M.
 | last2 = Thain | first2 = Nithum
 | doi = 10.1080/00029890.2007.11920465
 | issue = 8
 | journal = [[The American Mathematical Monthly]]
 | jstor = 27642309
 | mr = 2354443
 | pages = 732–736
 | title = Pick's theorem via Minkowski's theorem
 | volume = 114
 | year = 2007| s2cid = 38855683
 }}</ref>

<ref name=olds>{{cite book
 | last1 = Olds | first1 = C. D. | author1-link = Carl D. Olds
 | last2 = Lax | first2 = Anneli | author2-link = Anneli Cahn Lax
 | last3 = Davidoff | first3 = Giuliana P. | author3-link = Giuliana Davidoff 
 | contribution = Chapter 9: A new principle in the geometry of numbers
 | isbn = 0-88385-643-3
 | mr = 1817689
 | pages = 119–127
 | publisher = Mathematical Association of America, Washington, DC
 | series = Anneli Lax New Mathematical Library
 | title = The Geometry of Numbers
 | title-link = The Geometry of Numbers
 | volume = 41
 | year = 2000}}</ref>

<ref name=pick>{{cite journal |last=Pick |first=Georg | author-link = Georg Alexander Pick |title=Geometrisches zur Zahlenlehre |journal=Sitzungsberichte des deutschen naturwissenschaftlich-medicinischen Vereines für Böhmen "Lotos" in Prag |series=(Neue Folge) |year=1899 |volume=19 |pages=311–319 |url=https://www.biodiversitylibrary.org/item/50207#page/327 |jfm=33.0216.01 }} [http://citebank.org/node/47270 CiteBank:47270]</ref>

<ref name=reeve>{{cite journal | last = Reeve | first = J. E. | doi = 10.1112/plms/s3-7.1.378 | journal = [[Proceedings of the London Mathematical Society]] | mr = 0095452 | pages = 378–395 | series = Third Series | title = On the volume of lattice polyhedra | volume = 7 | year = 1957}}</ref>

<ref name=rosenholtz>{{cite journal
 | last = Rosenholtz | first = Ira
 | doi = 10.1080/0025570X.1979.11976797
 | issue = 4
 | journal = [[Mathematics Magazine]]
 | jstor = 2689425
 | mr = 1572312
 | pages = 252–256
 | title = Calculating surface areas from a blueprint
 | volume = 52
 | year = 1979}}</ref>

<ref name=sankri>{{cite journal
 | last1 = Sankar | first1 = P. V.
 | last2 = Krishnamurthy | first2 = E. V.
 | date = August 1978
 | doi = 10.1016/s0146-664x(78)80021-5
 | issue = 1
 | journal = Computer Graphics and Image Processing
 | pages = 136–143
 | title = On the compactness of subsets of digital pictures
 | volume = 8}}</ref>

<ref name=steinhaus>{{cite book
 | last = Steinhaus | first = H. | author-link = Hugo Steinhaus
 | mr = 0036005
 | page = 76
 | publisher = Oxford University Press
 | title = Mathematical Snapshots
 | year = 1950}}</ref>

<ref name=trainin>{{cite journal |last=Trainin |first=J. |title=An elementary proof of Pick's theorem |journal=[[The Mathematical Gazette]] |volume=91 |issue=522 |date=November 2007 |pages=536–540|doi=10.1017/S0025557200182270 | jstor = 40378436|s2cid=124831432 }}</ref>

<ref name=varberg>{{cite journal
 | last = Varberg | first = Dale E.
 | doi = 10.2307/2323172
 | issue = 8
 | journal = [[The American Mathematical Monthly]]
 | jstor = 2323172
 | mr = 812105
 | pages = 584–587
 | title = Pick's theorem revisited
 | volume = 92
 | year = 1985}}</ref>

<ref name=wells>{{cite book | last = Wells | first = David | title = The Penguin Dictionary of Curious and Interesting Geometry | publisher = Penguin Books | year = 1991 | contribution = Pick's theorem | pages = 183–184}}</ref>

<ref name=wiedijk>{{cite web|first=Freek|last=Wiedijk|url=https://www.cs.ru.nl/~freek/100/|title=Formalizing 100 Theorems|publisher=Radboud University Institute for Computing and Information Sciences|access-date=2024-02-20}}</ref>

}}