Mathematics

The University Library offers a selection of printed books and a collection of electronic material like e-books and e-journals in mathematics. All printed material as well as electronic resources can be found via the catalogue www.a-z.lu.

Subject-related questions on catalog and database research can be addressed to askalibrarian@uni.lu.

A selection of new acquisitions

Grundkurs Mathematikdidaktik
Hans-Dieter Sill
Schöningh
2019

CRC standard mathematical tables and formulas [e-book]
Dan Zwillinger (Ed.)
CRC Press
2018

Mathematical modelling: a graduate textbook [e-book]
Seyed M. Moghadas, Majid Jaberi-Douraki
Wiley
2019

Leitfaden Geometrie : für Studierende der Lehrämter
Ralf Benölken, Hans-Joachim Gorski, Susanne Müller-Philipp
Springer Spektrum
2018

Limitless Minds: Interviews with Mathematicians [e-book]
Anthony Bonato
American Mathematical Society
2018

Consult all the new print books acquisitions of the BUL. New e-books to be searched via a-z.lu directly.

If you have an acquisition suggestion, send the bibliographic data to askalibrarian@uni.lu.
If you are a member of staff, please use the form that is provided on the library pages of the UL-Intranet (ULI).
You need to log in first, then select “The University” -> “Library” -> “Procedures and Policies” (if you are already logged in, click here).

Organisation

Localisation

The mathematics book collection is housed at the Luxembourg Learning Centre on the second floor. Fragile, old or valuable material is in storage and needs to be ordered via the “Request” button above the location details of an a-z.lu entry.

 

Classification, Signage

The books are sorted on the shelves according to the subject related Dewey Decimal Classification (DDC), so that mathematics material would mainly be found within the classification numbers between 510 and 519.

Example for DDC : the call number field in the "Get this at a library"-tab might show something like "512.73 Dud". This is the code printed on the book spine to find it on the shelf. The figures represent the main content of the book – in this case :

          500 =         Natural Sciences
          510 =         Mathematics
          512 =         Algebra
          512.7 =      Number Theory
          512.73 =    Analytic Number Theory

The three characters behind the figures are the first letters of the author's name or the book title – this helps to further separate the material shelved under the same call number.

 

Reference Works

You will find below a selection of reference works on mathematics which are available in University library:

Tapson, Frank

Oxford student's mathematics dictionary

Oxford : Oxford University Press, 2013

Olver, Frank W.J.

The concise Oxford dictionary of mathematics

Oxford : Oxford University Press, 2009

Bouvier, Alain

Dictionnaire des mathématiques

Paris : Presses univ. de France, 2001

Grattan-Guinness, Ivor

Companion encyclopedia of the history and philosophy of the mathematical sciences

London : New York : Routledge, 1994

 

Printed Journal Collection (and other periodical works)

For mathematics most of the relevant journals are not offered in print but as e-journals that are discoverable via a-z.lu. The print-only versions of journals need to be ordered from storage – for more information on how to do this, see Journals.

Organisation

There is a lot of information online that is not freely accessible. The University of Luxembourg Library has subscribed to many databases, e-journals and e-books which are accessible by entering your login credentials in a-z.lu, which are provided after becoming a member of the library.

 

E-books

E-books are available via a-z.lu – if you want to search only e-book titles, choose "Digital library" in the top row of the search box and set the filter “Type of publication” on “Books” (in the menu on the right).

Further directory on international e-books:

Directory of Open Access Books (DOAB)

The Directory of Open Access Books (DOAB) is an online directory to increase discoverability of Open Access books. The database is included in the a-z.lu search.

E-journals and full text articles

E-journals are available via a-z.lu – if you want to search only e-journal titles, choose "Digital library" in the top row of the search box and set the filter “type of publication” on “Journals” (in the menu on the right). Be aware that you only search the titles of the e-journals and not the articles within them. For searching articles in journals, proceedings etc. set the filter on "Articles".

Further directories on international e-journals:

Ulrichsweb

Ulrichsweb is a serials directory on more than 300,000 periodicals of all types: academic and scholarly journals, e-journals, peer-reviewed titles, popular magazines, newspapers, newsletters, and more. Access only within the IP-range of the campus or at the National Library (BNL).

Directory of Open Access Journals (DOAJ)

The Directory of Open Access Journals (DOAJ) is an online directory that indexes and provides access to high quality, open access, peer-reviewed journals. The database is included in the a-z.lu search.

Electronic Journals Library

The Electronic Journals Library is a service of the University Library of Regensburg to facilitate the use of scholarly journals on the internet and offers a unified interface to access full-text articles online from all areas of research. Besides the more than 50,000 journals which are accessible free of charge to anyone, participating libraries provide their users access to the journals they subscribe to.

 

Catalogues and Other Databases

For searching online databases only, choose "Digital library" in the top row of the search box and set the filter “Type of publication” on “Databases” (in the menu on the right). Remember to log in first with the user ID and password received when you registered at the BUL. By this you are enabled to search (among others) the following, probably most important mathematical research database :

MathSciNet

MathSciNet is a comprehensive database of the American Mathematical Society covering the world's mathematical literature of more than 60 years backwards. It provides online access to reviews and bibliographic data from Mathematical Review and Current Mathematical Publications as well as links to original articles and free access to featured reviews. To access the database log in to a-z.lu first and retrieve the database via a-z.lu.

Here is a selection of further mathematics databases:

Zentralblatt MATH

ZB MATH is the world’s most comprehensive reference database in mathematical research and a navigation tool in mathematical literature with links to the electronic versions of articles and to document delivery systems.

arXiv.org

arXiv.org is an e-print-server offering a quick publication possibility for research results. Thus it is an important open access resource in astronomy, computer science, physics and mathematics. 

European Digital Mathematics Library

The purpose of the EuDML Initiative is to provide a Digital Mathematics Library (DML) for the scientific community as a public service with the aim to help scientists locate the information that is distributed in various digital repositories and discover information related to their work in an optimal way.

swMATH

swMATH is a freely accessible information service for mathematical software that provides access to an extensive database of information on mathematical software and includes a systematic linking of software packages with relevant mathematical publications.

MathDiss database

The MathDiss database is an Internet-based access to international mathematical dissertations.

EULER

The EULER database provides a gateway to the electronic catalogues and repositories of participating institutions by indexing and storing metadata records of its participants.

Digital Mathematics Library

The database offers digitized mathematics journals and monographs.

fidmath - Fachinformationsdienst Mathematik

The Mathematics Information Service fidmath is a virtual library of mathematics and allows to search both for conventional forms of media and for electronic resources.

European Mathematical Information Service (EMIS)

The European Mathematical Information Service (EMIS) was founded in 1995 as the central portal for electronic math resources in Europe. Since then, with the support of the European Mathematical Society and many publishers, FIZ Karlsruhe has developed the largest open access electronic library in mathematics ELibM (see link below) as the core of EMIS, as well as other resources.

ELibM – Electronic Library of Mathematics

The Electronic Library of Mathematics contains online journals, article collections, monographs, and other electronic resources generally freely accessible, except for some periodicals with a “moving wall”, i.e., a certain delay period after which resources become freely available.

 

Online Reference Books, Dictionaries and Encyclopaedias

The following works on mathematics are available online:

Princeton Companion to Mathematics

Print and online version available. For the latter: subscription needed – after log in to a-z.lu the e-book is accessible.

Historical Encyclopedia of Natural and Mathematical Sciences

Subscription needed – after log in to a-z.lu the e-book is accessible.

Encyclopedia of Mathematics

An open access wiki based on the original articles from the online Encyclopaedia of Mathematics, published by Kluwer Academic Publishers in 2002. Springer and the European Mathematical Society have made the content of this Encyclopedia freely open to the public to enable the wiki to become again the most comprehensive and up-to-date online mathematics reference work.

MathWorld

MathWorld is an online mathematics reference work, based on "Eric's Treasure Trove of Mathematics" written by Eric W. Weisstein.

EqWorld

EqWorld is a free online mathematics reference site on mathematical equations.

OEIS

The Online Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences.

Mathematisches Lexikon

German dictionary on mathematical terms.

 

Statistics

Statista

Statista is one of the world’s largest statistics and market data platforms with access to more than 1 million statistics, forecasts, dossiers, reports and infographics on 80.000 topics from more than 22.500 sources.

Abbreviations

Abbreviations may differ between or even within a branch of sciences. Journals often define the standard of the publication style within their author guidelines.

Science and Engineering Journal Abbreviations

The Woodward Library offers a database of abbreviations for journal titles from natural sciences and technology.

Web of Science: Journal Title Abbreviations

List of journals and their abbreviations.

University Course Pages:

Interesting Sites

The following sites may be of interest if you are studying mathematics (free access):

MacTutor History of Mathematics archive

Biographies and other historical information on mathematics.

Mathematics WWW virtual library

Math-related link collection.

MathOverflow

MathOverflow is an interactive mathematics website serving as a collaborative blog and an online community of mathematicians.

Math-Blog

Math-Blog.com is dedicated to promoting the beauty of Mathematics at every level.

WolframAlpha

The Wolfram|Alpha “computational knowledge engine” offers dynamic computations based on a vast collection of built-in data, algorithms, and methods on all kind of topics.

WolframFunctions

Collection of formulas and graphics about mathematical functions.

Mathforum

Collection of links for the mathematics education community.

Wikipedia: WikiProject Mathematics/Reference resources

This page collects helpful resources — Web sites, books, journals, etc. — to assist in writing mathematics articles.

Good Calculators

The website provides a variety of online calculators, such as math and statistics, engineering and conversion calculators.

Calkoo

The website provides a variety of online calculators, such as math, finance, physics etc.

 

Websites of Associations and Societies in Mathematics:

International Mathematical Union

European Mathematical Society

Société mathématique du Luxembourg (SML)

Deutsche Mathematiker-Vereinigung (DMV)

Gesellschaft für angewandte Mathematik (GAMM)

Société Mathématique de France

British Society for the History of Mathematics

American Mathematical Society

Society for Industrial and Applied Mathematics

Institute of Mathematical Statistics

Gesellschaft für Didaktik der Mathematik

European Society for research in mathematics education (ERME)

International Commission on Mathematical Instruction (ICMI)

Isaac Newton Institute for Mathematical Sciences

 

International Mathematics Museums:

Technorama in Winterthur (CH)

Arithmeum in Bonn (D)

Mathematikum in Gießen (D)

Luxembourg Science Center (L)

 

To stay informed about worldwide conferences, you can check the following websites:

Information on conferences collected by the American Mathematical Society

SIAM Conference Calendar

Conference Alerts

AllConferences.Com

 

To learn more about evaluating the quality of websites and the information in them, check the following links:

How to Evaluate Web Resources

How To Evaluate Information – Checklist

Evaluating Web Pages

 For more information about training courses at the library, please click here.