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# Mathematics

The field of mathematics encompasses areas such as algebra, geometry, calculus, probability, statistics, vector analysis, logic, and trigonometry. The following selected mathematics related resources can be found at the lower level of the Science Industry and Business Library (SIBL).

Dictionaries & Encyclopedias These sources provide explanations, definitions, descriptions, overviews, background information on a wide range of key terms and people involved with mathematics.

Handbooks Generally compendiums of in-depth essays written by various authors on specific topics in mathematics; formulas, tables, functions may be included.

Directories Sources for contact information for societies, associations, government agencies, academic institutions, and research centers.

Biographies Biographical works specific to mathematicians can be found in *R-QA28 section as well as in the general biographical works on scientists *R-Q130 and *R-Q141. Often these works include historical accounts and developments of mathematical discoveries.

Electronic Databases These databases are accessible from the Rohatyn Electronic Information Center on the lower level of SIBL.

SIBL subscribes to English and foreign language journals in general and specific areas of mathematics. Check

under the subject heading “Mathematical—Periodicals” for a comprehensive listing.

Websites “Best of Web” math websites selected by SIBL librarians. See Best of the Web: Science & Technology > Mathematics

## Dictionaries & Encyclopedias

These sources provide explanations, definitions, descriptions, overviews, background information on a wide range of key terms and people involved with mathematics.

Dictionary of mathematics / John Berry ... [et al.]. London; Chicago: Fitzroy Dearborn, 1999. *R-SIBL QA5 .D4988. Along with definitions of terms are numerous graphs, charts, examples, and diagrams for illustrative purposes.

Elsevier's dictionary of mathematics: in English, German, French and Russian. compiled by K. Peeva ... [et al.]. New York: Elsevier, 2000. *R-SIBL QA5 .E48. Foreign language equivalents of the English terms with no definitions.

Encyclopedic dictionary of mathematics / by the Mathematical Society of Japan; edited by Kiyosi Itô. Cambridge, Mass.: MIT Press, c1987. *R-Science QA5 .I8313 1987. The English version of Iwanami s¯ugaku jiten (in Japanese) 3rd ed.

Encyclopaedia of mathematics : an updated and annotated translation of the Soviet "Mathematical encyclopaedia". [managing editor, M. Hazewinkel]. Dordrecht; Boston: Reidel; Norwell, MA, U.S.A.: Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, c1988-c1994. *R-Science QA5. M3713 1988.

Nine volume set plus index and supplements. Entries are of three types: surveys dealing with main directions and current state of affairs of the field, detailed concrete descriptions of problems/results/techniques, and lastly, short reference definitions. Editorial comments and references are included with entries.

McGraw-Hill dictionary of mathematics. Sybil P. Parker, editor in chief. New York: McGraw-Hill, c1997. *R-SIBL QA5. M425. Covers all branches of mathematics from high school to university levels. Terms are drawn from the McGraw Hill Dictionary of Scientific and Technical Terms. Along with definitions and pronunciations, entries may also include synonyms, acronyms, and abbreviations.

World of mathematics. Brigham Narins, editor. Detroit, Mich.: Gale Group, c2001. *R-SIBL QA5 .W67. Encyclopedic entries covering concepts, biographies, and how mathematics relates to art, culture, music and literature.

## Handbooks

These sources are generally compendiums of in-depth essays written by various authors on specific topics in mathematics; formulas, tables, functions may be included.

*Handbook of applicable mathematics*. Chief editor, Walter Ledermann. Chichester; New York: J. Wiley, c1980-c1985. *R-Science QA36 .H36. A series of core volumes on algebra, probability, numerical methods, analysis, geometry/combinatorics, and statistics, with a focus is on the practice of mathematics.

*Handbook of mathematical, scientific, and engineering formulas, tables, functions, graphs, transforms*. Staff of Research and Education Association; M. Fogiel, director. Piscataway, N.J.: Research and Education Association, c1997. *R-SIBL QA40 .H357. Provides formulas, tables, functions, etc. with very little text explanations. The first part covers the various areas in math with a section on special functions (gamma, beta, Bessel, Z transform). The second section is on science and engineering data in structural design, mechanical technology, biomedical technology, electrical and chemical technology, and tables of compound interest factors.

*Mathematical handbook for scientists and engineers : definitions, theorems, and formulas for reference and review*. Granino A. Korn and Theresa M. Korn. Mineola, N.Y.: Dover Publications, 2000. (originally pub. in 1968 by McGraw Hill. *R-SIBL QA40 .K598. Each chapter has introductory text, definitions, formulas, review, with notes and references. Detailed discussions are included also in smaller print, but with proofs omitted.

*Mathematics handbook for science and engineering*. Lennart Råde, Bertil Westergren. Berlin; New York: Springer; Lund, Sweden: Studentlitteratur, c1999. *R-SIBL QA41 .R34. Highlighting basic areas in math and its applications with definitions, formulas, tables, graphs and results.

## Directories

The following are sources for contact information for societies, associations, government agencies, academic institutions, and research centers.

Assistantships and graduate fellowships in the mathematical sciences. [Providence, R.I.] : American Mathematical Society. *R-SIBL QA13.A88. Information on graduate programs and support patterns for graduate education. Includes article on employment trends in the mathematical sciences.

Mathematical sciences professional directory. Providence, R.I.: American Mathematical Society. *R-SIBL QA1.M765. Lists professional societies, associations, government agencies, and academic institutions’ mathematics departments.

Research centers directory. Detroit, Gale Research Co. *R-SIBL AS25. D52 Latest ed. McGraw Desk. Includes listings of university-related and other nonprofit research organizations in computers and mathematics.

## Biographies

Biographical works specific to mathematicians can be found in *R-QA28 section as well as in the general biographical works on scientists *R-Q130 and *R-Q141. Often these works include historical accounts and developments of mathematical discoveries.

Biographical encyclopedia of mathematicians. editor, Donald R. Franceschetti. New York: Marshall Cavendish, 1999. *R-SIBL QA28 .B544. A two-volume work profiling nearly 200 figures, from ancient Greece to the present, who contributed to pure and applied mathematics. Bibliographies for each entry, a country index, time line, and glossary are included.

Notable mathematicians: from ancient times to the present. Robyn V. Young, editor ; Zoran Minderovic, associate editor. Detroit: Gale, c1998. *R-SIBL QA28 .N66

Notable women in mathematics : a biographical dictionary / edited by Charlene Morrow and Teri Perl. Westport, Conn. : Greenwood Press, 1998. *R-SIBL QA28 .N68. Essays of historical and contemporary women worldwide, of diverse racial and cultural backgrounds, who have made significant contributions, add new ideas, invent or discover new theories, won prizes, or held important positions.

Scientists, mathematicians, and inventors: lives and legacies: an encyclopedia of people who changed the world. edited by Doris Simonis ; writers, Caroline Hertzenberg ... [et al.]. Phoenix, Ariz.: Oryx Press, 1999. *R-SIBL Q141 .S35

## History

The history of mathematics: an introduction / David M. Burton. Boston: McGraw-Hill, c2003. *R-SIBL QA21 .B96. A chronological narrative of the development of mathematics for the past 5000 years aimed for the college graduate with sample problems and biographies included.

A history of mathematics / Jeff Suzuki. Upper Saddle River, N.J.: Prentice Hall, c2002. *R-SIBL QA21 .S975. The origins and creative processes of elementary mathematics which includes numeration, arithmetic, geometry, algebra, calculus, real analysis, probability, statistics, number theory, differential equations, and more.

The rainbow of mathematics : a history of the mathematical sciences / Ivor Grattan-Guinness. New York: W.W. Norton, 2000. *R-SIBL QA21 .G695. A history of mathematics from the “remote past” to the Great War of 1914-18.

## Electronic Databases

These databases are accessible from the Rohatyn Electronic Information Center on the lower level of SIBL.

*Applied Science & Technology Abstracts* (available on-site at SIBL)

Topics include engineering, acoustics, chemistry, computers, metallurgy, physics, plastics, telecommunications, transportation, and waste management. Contains more than 560 English-language, scientific and technical publications. Applied Science & Technology Abstracts contains abstracting of periodicals from March 1993 to the present and indexing from October 1983 to the present. Print ed. *R-SIBL Z7913 .I7

*JSTOR*

A searchable, digitized archive -- from the first date of publication up to the last three to five years -- of major scholarly journals in many fields, including mathematics.

*MathSci Disc* (available on-site at SIBL)

Locate articles in journals on mathematics, statistics, and computer science including applications. 1940 - 1996. For a print copy, use *Mathematical Reviews* located on the lower level, call number *R-Z6653.M426.

*MathSciNet* (available on-site at SIBL)

Articles. Index, Abstract, and Book Review Database. Comprehensive coverage of the world's mathematical literature. Locate articles in journals and conference proceedings on mathematics, statistics, and computer science including applications. 1940 to present. Continually updated. For a print copy, use *Mathematical Reviews* located on the lower level, call number *R Z6653.M426.

## Journals

Below is a selective list of math journals that SIBL subscribes to, in print and/or electronic forms. All of the following are also indexed in MathSciNet (available on-site at SIBL). SIBL subscribes to English and foreign language journals in general and specific areas of mathematics. Check CATNYP under the subject heading “Mathematical—Periodicals” for a comprehensive listing.

*American journal of mathematics*. Baltimore: Johns Hopkins University. *ZAN-V1225, 1878-2000. JSN 01-8, 2001- Present. Also online via JSTOR (1878-1995) and Project Muse (1996-Present). Presents pioneering work in applied and pure mathematics.

*The American mathematical monthly*. *ZAN-V1034 (Microfilm 1894-2000) JBM 01-530 (2001-Present). Online via JSTOR . Expository and survey articles featuring a problems section, book reviews, and summaries of software.

*The college mathematics journal*. Washington, D.C.: Mathematical Association of America. Online via JSTOR , except last 5 years. Articles on mathematics, curriculum and pedagogy, problems and solutions, classroom notes, and a section on computers.

*IMA journal of applied mathematics*. London; New York: Academic Press. JSP 83-32. Articles provide analytical and numerical treatments of all areas of applied mathematical problems, including those arising from industry.

*IMA journal of mathematical control and information*. Oxford, England: Oxford University Press. JSP 91-288. Articles on mathematical control theory, system theory and applied information sciences.

*IMA journal of numerical analysis*. London; New York: Academic Press. JSP 83-33. Articles that treat the theory, development or use of practical algorithms and interactions between these aspects.

*Mathematics magazine*. Washington, Mathematical Association of America. JSM 94-464. Online via JSTOR , except last 5 years. Articles, mathematical problems, and book reviews focusing on history and contemporary applications.

*The Quarterly journal of mechanics and applied mathematics*. Oxford, Clarendon Press. JSL 03-12. Publishes original research articles in application of math to fluid and solid mechanics, classical electromagnetism, nonlinear dynamics and combined fields such as magnetohydro-numerical methods.

## Print Abstracts & Indexes

Applied Science & Technology Abstracts *R-SIBL Z7913 .I7 (available on-site at SIBL) Online version available; see description on “Electronic Databases”

Current mathematical publications. [Providence, R.I.] American Mathematical Society. JSP 90-62. Published every three weeks, contains tables of contents and bibliographic listings by subject of mathematical journals, books and videos.

Mathematical Reviews. *R-SIBL Z6653.M426 Abstracts of journals, monographs, symposia, and proceedings in English, French, German and Russian. Includes author and subject indexes. Online version available via MathSciNet (available on-site at SIBL); see description on "Electronic Databases".

## Internet Links

- American Mathematical Society (AMS)

http://www.ams.org/

This site has information on AMS, their activities, membership, services, related math links, and selected free AMS online books. - Ask Dr. Math

http://mathforum.org/dr.math/

Search the archives for elementary through college level questions and answers. Sponsored by Drexel University. - Calculators On-line: Mathematics

http://www-sci.lib.uci.edu/HSG/RefCalculators2.html

Contains over 17,000 math and statistical calculators and dictionaries classified by specialty and language. - MacTutor History of Mathematics

http://www-groups.dcs.st-and.ac.uk/%7Ehistory/index.html

Includes biographies of more than 1100 mathematicians and a special index of women mathematicians. - Mathworld (formerly Eric Weisstein’s World)

http://mathworld.wolfram.com/ - S.O.S. Math

http://www.sosmath.com/