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Mathematics and Statistics

A guide to resources in UVic Libraries for the study of mathematics and statistics
AMS Citation Style
The AMS Style refers to the citation format established by the American Mathematical Society. 

The basics:
  • References are ordered alphabetically by author last name 
  • When using in-text citations, the # sign in brackets represents the order that the citation is mentioned in the text of the paper. 
    Example: “Cinkir established the conjecture in [2] by using [34].” And “When K is a number field, Ullmo proved in 1998 that the conjecture holds (cf. [25, Theorem 1.1]).”
  • See the sections below for how to cite books, articles, and websites (i.-iii.)

 i. Books

A. Author, Title of Book. Publisher, Place of Publication, year.
A. Author, Title of Book, Publisher, Place of Publication, year, DOI.

Capitalize the first and all main words in the book's title and subtitle if it has one.
Don't include page numbers for a book unless you are citing a specific chapter in a book.
Include the DOI if one is available.

Examples:
Book
W. -H. Steeb, Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra. World Scientific Publishing, River Edge, NJ, 1996, http://dx.doi.org/10.1142/3309.

Book (edited)
A Century of Mathematics: Through the Eyes of the Monthly. Edited by J. Ewing. Mathematical Association of America, Washington, DC, 1994, http://dx.doi.org/10.2307/3620026.

Book (edited with author)
Y. Bonnefoy, New and Selected Problems. Edited by J. Naughton and A. Rudolf. Univ. of Chicago Press, Chicago, 1995.

Edition of a Book
E. C. Titchmarsh, The Theory of the Riemann Zeta-Function. Second edition. Edited and with a preface by D. R. Heath-Brown. The Clarendon Press, Oxford Univ. Press, New York, 1986.

eBook
I. M. Gelfand, A. Shen, Algebra. Birkäuser, New York, 1993. Kindle edition, http://dx.doi.org/10.1007/978-1-4612-0335-3.


ii. Articles

A. Author, Title of article, Abbrev. Journ. Titl Volume (year) page--page.
A. Author, Title of article, Abbrev. Journ. Titl Volume (year) page--page, URL.

Only capitalize the first letter of the title and subtitle of an article unless the title contains a proper noun.

Examples:
Journal article
S. Leader, What is a differential? A new answer from the generalized Riemann integral, Amer. Math. Monthly 93 (1986) 348--356

Electronic journal
J. M. Bonnet-Bidaud, F. Colas, J. Lecacheux, Search for companions around Sirius, Astron. Astrophys 360 (2000) 991--996, http://fr.arxiv.org/abs/astro-ph/0010032.


iii. Websites

A. Author, Publisher of Information, Title of Page (date), URL.

Examples:
Web Site
D. Velleman, American Mathematical Monthly, submission guides and information for the Monthly (2007), http:www.cs.amberst/~djv/monthly.
Online news source
CNN.com, "California ballot official, ready to print," August 14, 2003, http://www.cnn.com/2003/ALLPOLITICS/08/13.calif.recall/index.html.


Citation Resources

Creative Commons License
This work by The University of Victoria Libraries is licensed under a Creative Commons Attribution 4.0 International License unless otherwise indicated when material has been used from other sources.