Mathematics Guide
Table of Contents
Description | Journal Abbreviations | Directories | Encyclopedias and Dictionaries | Indexes | Bourbaki guide | SGA | WWW Resources | Online Historical Mathematics Collections
The University of Michigan Science Library has one of the largest and most comprehensive mathematics collections in the country. We strive to collect all significant mathematical works in a comprehensive manner in the following areas of mathematics: mathematical analysis, number theory, mathematical statistics and probability, advanced algebra including group theory, modern geometry, algebraic geometry and topology, and the history of mathematics. We maintain a collection in applied mathematics, actuarial mathematics, recreational mathematics and works on mathematics education to support the research and teaching programs of the Mathematics and Statistics departments.
For information on statistics, see the Science Library's Subject Guide for Statistics.
For information on locating library materials, consult the Science Library's Virtual Tour, or contact the Science Library's Reference desk for more information.
Mathematics New Book List, a weekly list of additions to the University of Michigan library catalog with the LC call number letters, QA.
A list of selected mathematics journals and call numbers and a list of Ejournals-Mathematics are available.
Journal Abbreviations
Directories
- Combined Membership List
Lists members of the American Mathematical Society (AMS), Mathematical Association of America (MAA), and Society for Industrial and Applied Mathematics (SIAM).
Call number: QA 1 A512cn
Location: Science Library (Latest edition in Reference Collection)
- Mathematical Sciences Professional Directory
Addresses of mathematical institutions by location, with an international scope, from the American Mathematical Society.
Call number: QA1 .M42365
Location: Science Reference or on the web as the Directory of Institutions in the Mathematical Sciences
- World Directory of Mathematicians
From the International Mathematical Union; lists mathematicians worldwide, and their addresses. Includes a geographical index. Published infrequently.
Call number: QA 29.5 .W93
Location: Science Library (Latest edition in Reference Collection)
- Netlib Conferences Database List
A comprehensive wide-ranging (in geographic location and in subject) list of mathematics conferences maintained at the University of Tennessee and Oak Ridge National Laboratory.
| Top |
Encyclopedias, Dictionaries, and Handbooks
- Encyclopedic Dictionary of Mathematics (Mathematical Society of Japan)
Contains articles on mathematics topics, numerical and statistical tables, and lists.
Call number: QA 5 .N683 1987
Location: Science Library Reference Collection
- Encyclopaedia of Mathematics
Covers recent directions in mathematics research, along with discussions of problems and definitions.
Call number: QA 5 .M37213 1988
Location: Science Library Reference Collection
- CRC Handbook of Mathematical Sciences
A compendium of mathematical and statistical functions.
Call number: QA 47 .H24B 1987
Location: Science Library Reference Collection
- Eric Weisstein's World of Mathematics (MathWorld)
A free web encylclopedia. A snapshot of the website provided the content of the print CRC Concise Encyclopedia of Mathematics.
- Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, volume 55 of National Bureau of Standards Applied Mathematics Series by M. Abramowitz and I. Stegun.
One of the most highly cited sources of mathematical functions in applied mathematics research.
Call number: QA 1.U58 no. 55
Location: Science Library Reference Collection and 4th Floor Stacks
- Digital Library of Mathematical Functions
A project that is underway at NIST to replace the Abramowitz and Stegun Handbook of Mathematical Functions. The project began in 1999 and the first 20 chapters are due in 2001. (See http://dlmf.nist.gov/about/ for more information about the project.)
| Top |
Indexes
| Top |
Bourbaki
The name Nicolas Bourbaki (BOO-BAK-kee) is a pseudonym for a group of mathematicians in France who in 1939 began to publish an influential survey of mathematics, the Élements de Mathématique. (Halmos, Paul R. 1957. Nicolas Bourbaki. Scientific American 196: 5 (88-99).)
Finding these volumes in the Shapiro Science Library by searching the Mirlyn University Library catalog can be daunting. Following, is a quick guide to assist you in browsing the shelves to find the chapter you need.
- Élements de Mathématique (QA 3 .B77 4th floor Science Library)
- The Élements de Mathématique by Nicolas Bourbaki (a pseudonym chosen by a group of young French mathematicians) begins in 1939. All of the Bourbaki volumes published in France that are a part of the Élements de Mathématique oeuvre are located on the 4th floor of the Science Library at call number QA 3 .B77.
- Addison-Wesley English translations of Élements de Mathématique (QA3. B773 4th floor Science Library)
The Addison-Wesley English editions of selected volumes of Bourbaki are as follows and are located on the 4th floor of the Science Library at call number QA 3. B773 :
- Theory of sets (section 1)
- Algebra (section 2)
- General topology (section 3)
- Groups and Lie Algebras (section 7)
- Commutative Algebra (section 8)
- Springer-Verlag English editions of selected volumes of Élements de Mathématique
- Elements of the History of Mathematics (Élements d'histoire des mathématiques) at call number QA 21 .B7713 1994
- Algebra (Algèbre) Chapitres 1-7 at call number QA 155 .B68213 1989
- Commutative Algebra (Algèbre commutative) Chapitres 1-7 at call number QA 251.3 .B6813 1989
- General Topology (Topologie générale) Chapitres 5-10 at call number QA 611 .B65913 1989M
- Lie Groups and Lie Algebras (Groupes et algèbres de Lie) Chapitres 1-3 at call number QA 387 .B6513 1989
- Topological Vector Spaces (Espaces vectoriels topologiques) Chapitres 1-5 at call number QA 322 .B6813 1987
- Séminaire Bourbaki Textes des Conférences (QA1. P24 and QA1.P24a 4th floor Science Library)
- The Séminaire Bourbaki Textes des Conférences begin in 1948 and continue through 1976. They were published in Paris by the Sécretariat mathématique. These volumes are on the 4th floor of the Science Library at call number QA1. P24
- Springer-Verlag published Séminaire Bourbaki Textes des Conférences as facsimiles of the second edition of the French publication of the Séminaire Bourbaki années 1-20, 1948/49-1967/68, then from 21-33 année 1968/69 to 1980/81 the Séminaire Bourbaki are also numbered in the Springer-Verlag series Lecture Notes in Mathematics. These volumes cover annees 1948 through 1980-81, exposés 1-578. All of the Springer-Verlag Séminaire Bourbaki volumes are located on the 4th floor of the Science Library at call number QA1.P24a
- Séminaire Bourbaki in Astérisque (QA 1.A86 4th floor Science Library)
- From année 34 1981/82 the Séminaire Bourbaki has been published in Astérisque by the Société mathématique de France. These volumes are located on the 4th floor of the Science Library at call number QA 1. A86.
| Top |
World Wide Web Resources (a short list of selected web resources)
Preprints
History of Mathematics
Software
- Mathematics Archives software A user friendly archive of MAC and PC public domain and shareware software packages organized by mathematical categories.
Organizations
Mathematics Links
- World Wide Virtual Library for Mathematics maintained at Florida State University, a good jumping off point for web resources in mathematics.
- Mathematics Archives, maintained on a server at the University of Tennessee Knoxville mathematics department, a rich source for links to web based mathematics resources.
- Math Net a website devoted to connecting information for mathematicians in Germany. A good source for European web resources for mathematics and an interesting model for connectivity.
- Math Forum created in 1996 at Swarthmore College, and purchased in April, 2000 by WebCT, this site provides FAQ's on mathematics, for K-12 and university level. The Forum is focused on mathematics education. Also included is an Ask Dr. Math reference service.
Online Historical Mathematics Collections
| Top |
Need More Help?
For additional assistance with mathematics research or reference questions, contact: JoAnn Sears, Science Librarian, Email: josears@umich.edu
.gif)
