# 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).

## 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.

## 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)

#### 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