Encyclopedia articles, written by subject authorities, provide information useful for gaining a basic understanding of a topic and getting started with a research project. Typically, a bibliography, or list, of "classic" books and articles for further research follows each article. Students will find also these encyclopedias useful for brushing up on topics related to their central area of investigation.

Encyclopaedia of Mathematics: an updated and annotated translation of the Soviet "Mathematical Encyclopaedia". Dordrecht; Boston : Reidel, c1988-1994.

Comprised of three styles of alphabetically arranged, interfiled articles:  survey articles of main topics; medium length articles of concrete problems, results, and techniques; and short definitions.  Articles are accompanied by bibliographical references and the alphabetic arrangement is supplemented by an extensive index.

CALL NUMBER: [q] QA5 .M3713 1988 v.1-10

Ito, Kiyosi., ed.

Encyclopedic Dictionary of Mathematics. By the Mathematical Society of Japan ; edited by Kiyosi Ito. 2nd ed. Cambridge, Mass.: MIT Press, c1987.

Comprised of 450 alphabetically arranged articles addressing large mathematical concepts.  Specific terms are embedded within the articles and are found through use of the index.  Articles include bibliographical references.  Illustrated.

CALL NUMBER: [Ref] QA5 .I8313 1987 -- v. 1-4 

West, Beverly Henderson, [et al.]

The Prentice-Hall Encyclopedia of Mathematics.  Englewood Cliffs, N.J.: Prentice-Hall, c1982.

80 alphabetically arranged articles on broad mathematical topics.  Specific concepts are discussed within the articles and are found through use of the index.  Covers definitions, formulas, explanations, historical information, puzzles, games, projects, and applications.  Articles include bibliographical references.  Illustrated.

CALL NUMBER: [Ref] QA5 .P7 1982

Gellert, W[alter], [et al.], eds.

The VNR Concise Encyclopedia of Mathematics.  1st American ed.  New York: Van Nostrand Reinhold Co., 1977.

42 conceptually arranged articles ranging from elementary mathematics through more complicated higher mathematical concepts to specific mathematical topics.  Specific terms are located through use of the index.  Lacks bibliographical references.  Illustrated.

CALL NUMBER: [Ref] QA40 .V18 1977

Grattan-Guinness, I[vor], ed.

Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences. London; New York: Routledge, 1994.

Covers some general geographical development in the history of mathematics, then focuses on historical developments within major topics of mathematics.  Articles include extensive bibliographies.  Illustrated.

CALL NUMBER: [Ref] QA21 .C645 1994 -- v.1-2

Kotz, Samuel, Norman L. Johnson, eds.

Encyclopedia of Statistical Sciences.  New York: John Wiley & Sons, 1982-1988.

Provides "information about an extensive selection of topics concerned with statistical theory and the applications of statistical methods in various more or less scientific fields of activity."  A cumulative index in v. 9 is supplemented by internal cross-references in the text.  Entries include bibliographical references.

CALL NUMBER: [Ref] QA276.14 .E5 1982 -- v. 1-9

These specialized subject dictionaries define the terminology in the discipline.

Weisstein, Eric W.

CRC Concise Encyclopedia of Mathematics. Boca Raton, Fla.: CRC Press, c2003.

"A compendium of mathematical definitions, formulas, figures, tabulations, and references.  It is written in an informal style intended to make it accessible to a broad spectrum of readers with a wide range of mathematical backgrounds and interests."  Arranged alphabetically without an index but with extensive cross-references in the text.  Entries are brief and dictionary style despite being called an encyclopedia.  Illustrated. By the author of MathWorld.

CALL NUMBER: [Ref] QA5 .W45 2003

Cavagnaro, Catherine and William T. Haight II, eds.

Dictionary of Classical and Theoretical Mathematics.  Boca Raton, Fla.: CRC Press, c2001.

Over 1,000 detailed, rigorous, working definitions of mathematical terms.  Illustrated.

CALL NUMBER: [Ref] QA5 .D4984 2001

Oxford Reference Online: Physical Sciences and Mathematics [ Online ] Oxford University Press, 2002. Available: http://www.oxfordreference.com/views/SUBJECT_SEARCH.html?subject=s19 (Accessed 4 May 2204).

A searchable and browsable collection of dictionaries from Oxford University Press including: A Dictionary of Astronomy, A Dictionary of Chemistry, The Concise Oxford Dictionary of Mathematics, A Dictionary of Physics, A Dictionary of Scientists, and A Dictionary of Statistics. Restricted to Union College.

 

James, [Robert C.] and [Glenn] James.

Mathematics Dictionary.  5th ed.  New York: Van Nostrand Reinhold, c1992.

"Intended to be essentially complete in the coverage of topics that occur in precollege or undergraduate college mathematics courses, as well as covering many topics from beginning graduate-level courses. ... It is a correlated condensation of mathematical concepts, designed for time-saving reference work."  Illustrated.

CALL NUMBER: [Ref] QA5 .J33 1992 

Borwein, Jonathan and Peter Borwein.

A Dictionary of Real Numbers.  Pacific Grove, Calif.: Wadsworth & Brooks, c1990

"A list of over 100,000 eight-digit real numbers in the interval [0,1) that arise as the first eight digits [after the decimal point] of special values of familiar functions."

CALL NUMBER: [Ref] QA47 .B625 1990

Handbooks collect basic, practical information—formulas, tables of data, classification systems, definitions—for professionals operating within a discipline.

Zwillinger, Daniel, ed.

CRC Standard Mathematical Tables and Formulae.  30th ed.  Boca Raton: CRC Press, c1996.

"The handbook covers numbers, geometry, trigonometry, calculus, special functions, numerical methods, probability, and statistics. ... [It is] filled with tables, formulae, equations, and descriptions."

CALL NUMBER: [Ref] QA47 .M315 1996

Abramowitz, Milton and Irene A. Stegun, eds.

Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables.  Tenth printing, with corrections.  Washington, D.C.: U.S. GPO, 1972.

"A comprehensive and self-contained summary of the mathematical functions that arise in physical and engineering problems."

CALL NUMBER: [Ref] QA47 .A34 1972

Beyer, William H., ed.

CRC Handbook of Tables for Probability and Statistics. Cleveland, Ohio: Chemical Rubber Co., c1966.

A collection of tables for the various distributions and other statistical tools.

CALL NUMBER: [Ref] QA276 .B44

S.O.S. Mathematical Tables and Formulas. [Online] Available: http://www.sosmath.com/tables/tables.html (Accessed 4 May 2004).

"This site is a place for students and educators to quickly access mathematical formulas." Tables are organized by topics including: multiplication, trigonometry, conversions, integrals, Laplace transforms, etc.

Sources of Statistics

The library subscribes to the ASI Microfiche Library. Every document indexed in ASI since 1979 is available in this library. In addition to the ASI Microfiche Library for federal government publications containing statistical data, the library also subscribes to the SRI Microfiche Library, containing most but not every non-federal statistical item indexed in SRI. A third collection, Index to International Statistics, deals with statistical material from international, intergovernmental bodies, completes the package. Online access to the database—and to some of the documents themselves—is available through the Statistical Universe component of LexisNexis Academic Universe.

Citation Guides and Style Manuals

Style manuals and citations guides illustrate how to cite book, journal, and other research sources, including materials found in online databases and on the Web according to the conventional format of a particular discipline. Subject specific citation guides are listed below, and a complete listing appears at Reference Sites: Citation Guides and Style Manuals.

Online! A Reference Guide to Using Internet Sources. [Online] Andrew Harnack and Eugene Kleppinger. Available: http://www.bedfordstmartins.com/online/ (Accessed 24 March 2002).

Chapter 8: Using CBE Style to Cite and Document Sources developed for the field of Biology, illustrates how to cite Internet resources in science research papers.

Scientific Style and Format: The CBE Manual for Authors, Editors, and Publishers. Style Manual Committee, Council of Biology Editors. Publisher : Cambridge; New York: Cambridge University Press, 1994.

The CBE website indicates that its style guidelines were based largely on the National Library of Medicine's Recommended Formats for Bibliographic Citation and are useful for science research papers generally.

CALL NUMBER: [Ref] QH304 .C330 1994

The New Acquisitions List—residing on the Library Catalogs page—is generated on the 10th of each month and includes items added to the library's collections for the previous calendar month.

Microfiche copies of Senior honors theses are maintained in the Library. For details on the Library's theses holdings, formats, access, photocopying restrictions, and searching for a thesis in the online catalog, see the Thesis Search Page.

Faculty using Blackboard are encouraged to incorporate links to Library resources—and specifically the Research by Subject pages and the appropriate course-related Research Guides—into the Blackboard course pages.  Your Departmental Liaison or Bibliographic Instruction Contacts can assist you.

Schaffer Library provides to range of general and subject-specific electronic databases—some offering full-text access to articles or library holdings information.

Resources in Mathematics (SLA Physics-Astronomy-Math Division)
http://www.sla.org/division/dpam/math.html
An excellent and comprehensive gateway site with links to people (directories and individual biographies), professional societies, institutions (including links to individual Mathematics depts.), extensive references (with links to specific books, bibliographies, projects, conferences, and discussions of problems), and pathfinders.

Eric Weisstein's World of Mathematics (MathWorldTM)
http://mathworld.wolfram.com/
"'The world's most extensive mathematics resource.'  A free service for the mathematical community provided by Wolfram Research ..."  Includes over 10,000 entries, indexed by subject and with search capability.

European Mathematical Information Service
http://www.emis.de/
Includes access to several citation databases and an electronic library.

Math on the Web (AMS)
http://www.ams.org/mathweb/
General gateway site with links to guides, online publications, references, people, organizations, etc.

Mathematics arXiv
http://front.math.ucdavis.edu/
Searchable accesss to over 25,000 mathematics related articles available through the Mathematics arXiv.  Listed articles are available in multiple formats for viewing and printing.

MathGuide
http://www.sub.uni-goettingen.de/ssgfi/math/singleindex.html
"The MathGuide, located at the Lower Saxony State- and University Library, Göttingen (Germany), is an internet-based subject gateway to scholarly relevant information in the Mathematics. Resources are described and evaluated with a set of metadata. New resources are continuously added to the database, already cataloged ones double-checked and updated."  Browse and search capabilities.

MathWorld
http://mathworld.wolfram.com/
"MathWorld is the web's most complete mathematical resource, assembled over more than a decade by internet encyclopedist Eric W. Weisstein with assistance from the mathematics and internet communities." The site is continuously updated to include new material and incorporate new discoveries.

S.O.S. Mathematical Tables and Formulas
http://www.sosmath.com/tables/tables.html
"This site is a place for students and educators to quickly access mathematical formulas."  Tables are organized by topics including: multiplication, trigonometry, conversions, integrals, Laplace transforms, etc.

Yahoo!-Science:Mathematics
http://www.yahoo.com/Science/Mathematics/
Yahoo directory with links to specific subtopics.

Links to Web Sites on the History of Mathematics
http://www.dcs.warwick.ac.uk/bshm/resources.html
A "list of Web sites containing material relevant to the study of history of mathematics.  Some of these sites are specifically devoted to history of mathematics while others are part of larger sites."  Compiled and maintained by the British Society for the History of Mathematics.

Sloane's On-Line Encyclopedia of Integer Sequences
http://www.research.att.com/%7Enjas/sequences/
"Since the mid-1960's Neil Sloane has been collecting integer sequences from every possible source.  His goal is to have all interesting number sequences in the table. At the present time the table contains around 67000 sequences. 5487 of the best of these sequences were published in 1995 in The Encyclopedia of Integer Sequences, by Neil Sloane and Simon Plouffe."  A searchable database of integer sequences along with information about classic integer sequences and puzzles.

Unsolved Math Problems
http://www.mathsoft.com/mathresources/problems/
"This evolving collection of unsolved mathematics problems is not systematic or complete; it is only an eclectic gathering of questions and partial answers which have come to my attention over the years."

StatLib
http://www.stat.cmu.edu/
Click on StatLib under "Links" on the left side of the page.  A "system for distributing statistical software, datasets, and information by electronic mail, FTP and WWW. StatLib started out as an e-mail service and some of the organization still reflects that heritage."   Has a searchable archives.

MathSciNet
http://www.ams.org/mathscinet
Maintained by the American Mathematical Society.  "MathSciNet is a comprehensive database covering the world's mathematical literature since 1940."  Searchable index. 

MathSearch
http://www.maths.usyd.edu.au:8000/MathSearch.html
A Mathematics-specific search engine which searches "a collection of over 200,000 documents on English-language mathematics and statistics servers across the Web."

MathWorld Headline News
http://mathworld.wolfram.com/news/
Archive news from MathWorld, hosted and sponsored by Wolfram Research, Inc.

Mathematical Association of America

American Mathematical Society e-MATH

European Mathematical Society (via the European Mathematical Information Service)

American Statistical Association