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Mathematics Research Guide

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Books and Multimedia

http://library.ucf.edu

Use the online catalog to locate books and multimedia in the UCF Libraries. You can search by author, title, keyword, or subject.

  • To search for a person, as AUTHOR or SUBJECT, search by last name, first name without punctuation; for example:
    • Babbage Charles
    • Lovelace Ada
  • SUBJECT searching requires use of Library of Congress subject headings. Here are some example subject headings:
    • Axioms
    • Binary system (Mathematics)
    • Business mathematics
    • Calculus
    • Combinations
    • Congruences and residues
    • Conic sections
    • Coordinates
    • Curves
    • Differential equations
    • Engineering mathematics
    • Equations
    • Ethnomathematics
    • Factorials
    • Factorization (Mathematics)
    • Fractions
    • Functions
    • Fuzzy mathematics
    • Game theory
    • Geodesics (Mathematics)
    • Geometry
    • Graphic methods
    • Harmonic analysis
    • Hyperspace
    • Information theory in mathematics
    • Interval analysis
    • Intuitionistic mathematics
    • Kinematics
    • Least squares
    • Linear programming
    • Linear systems
    • Mathematical constants
    • Mathematical optimization
    • Maxima and minima
    • Mensuration
    • Metric system
    • Minorities in mathematics
    • Normal forms
    • Numerical analysis
    • Numeracy
    • Numerals
    • Permutations
    • Probabilities
    • Reciprocity theorems
    • Series, Infinite
    • Sequences (Mathematics)
    • Set theory
    • Statics
    • Statistics
    • Trigonometry
    • Women in mathematics
  • To limit by FORMAT in order to find multimedia and scores, go to the Advanced Search in the Library Catalog and use the Limit Search By option.
  • If you are unsure of the exact title or unsure of the correct Library of Congress subject heading, try a KEYWORD search using two or three of the most significant words from the title or subject you are trying to find.

Periodical Articles

Use the following electronic and print indexes to find articles about mathematics. Once you have found the articles you want, in some instances you will need to check the UCF Library Catalog to determine if we own the periodicals you need. In addition to the electronic databases listed below, some full-text articles pertinent to mathematics topics may be available through these online services: Academic Search Premier, Kluwer Online, Science Direct, and Wiley InterScience.

Coverage of basic and applied research in aeronautics, astronautics, and space sciences. Also covers technology development and applications in complementary fields such as chemistry, geosciences, physics, communications, mathematics, and electronics. Includes journals and reports issued by NASA and other agencies.
Publishes journals focusing on research dealing with high quality and significance in all areas of pure and applied mathematics. For journals that appear in dual electronic and print formats, articles are posted individually on the Web soon after the proof is returned from authors and before appearing in issues for the print product. Items in article bibliographies are linked to their reviews on MathSciNet when available.
Index T 1 .I54 (1958+)
Indexes articles in approximately 700 trade and industrial publications, journals issued by professional and technical societies, and in specialized subject periodicals. Continued by the online database Applied Science Full Text (1983+).
Covers every area of science, engineering, and technology. Provides citations to articles in trade and industrial publications, journals issued by professional and technical societies, and in specialized subject periodicals. Preceded by the print index, Applied Science and Technology Index (1958-2003).
Contains biographical information on over one million individuals from all time periods, geographical locations, and fields of endeavor.  The "Biographical Facts Search" allows searching for people based on one or more personal facts, such as occupation.
Compendexfrom Ei Village (1884+)
Compendex Web from FCLA 1970-1999 or 2000-present
Abstracts articles from over 5,000 international engineering journals, as well as conference papers and technical reports. Covers all fields of engineering.
Indexes and abstracts articles of at least one column in length from English-language periodicals published in the United States and Great Britain plus the full text of selected periodicals. Periodical coverage includes popular science magazines as well as professional journals. Subject areas covered include astronomy, biology, botany, chemistry, earth science, environmental issues, mathematics, medicine, physics, and zoology. Preceded by the print index, General Science Index (1978/79+).
Index Q 1 .G46 (1978/79+)
Indexes articles from English-language periodicals, including popular science magazines as well as professional journals. Subject areas covered include astronomy, biology, botany, chemistry, earth science, environmental issues, mathematics, medicine, physics, and zoology. Continued by the online database General Science Full Text (1984+).
INSPEC (1969+)
Indexes and abstracts over 3,400 scientific and technical journals and some 2,000 conference proceedings, as well as numerous books, reports, and dissertations in physics, electrical engineering, electronics, communications, control engineering, computers and computing, and information technology.
Index QA 1 .M76 (1940+)
The print equivalent of the online database MathSciNet (1940+). Covers all areas of mathematics and other fields that contain mathematical or statistical applications. International in scope, provides citations to journal articles, books, and conference proceedings. Searchable by author, title words, journal title and Mathematics Subject Classification which is a system used to categorize items covered by Mathematical Reviews and Current Mathematical Publications.
Provides timely reviews or summaries of articles and books that contain new contributions to mathematical research, as well as links to selected articles. The Mathematical Reviews Database is the database of bibliographic information and reviews, created and maintained by the American Mathematical Society. Journals, conference proceedings, and books of mathematical research are covered. The print version is Mathematical Reviews (1940+).
Indexes U.S. government-sponsored research and scientific, technical, engineering, mathematics, and business-related research reports from Federal sources. Major areas of coverage include administration and management, aeronautics and aerodynamics, computer science, education, engineering, mathematics, physics, technology, telecommunications, and transportation.
A multidisciplinary index to the journal literature of the sciences. It fully indexes 5,900 major journals across 150 scientific disciplines. This database's primary use is to track citations to the works of a specific author through the "Cited Ref Search" feature.

Preprint Articles

Preprints are articles that have been distributed in partial or preliminary form, usually in advance of official publication.

http://www.ams.org/global-preprints/
Provides Internet links and e-mail contacts of all mathematical preprint and e-print servers throughout the world. The servers listed are divided into three categories: (1) umbrella servers which cover all areas of mathematics such as the Front for the Mathematics ArXiv and the MPRESS/MathNet.preprints server; (2) special subject servers and servers administered by mathematics departments and institutes; and (3) retired preprint services.

Key Journals

The following journals are devoted exclusively or in part to mathematics. Please note, however, that many other journals not listed here may contain articles about these subjects; thus, the need to consult a periodical database or index. Current print issues of periodicals to which the Library subscribes are arranged by title on the third floor; print back issues are shelved in the general collection by call number, while microform back issues are arranged by call number on the third floor.

Acta Mathematica
General Collection QA1 .A18 (1969+)
Contains research papers in all fields of mathematics. Most of the papers are in English, but some are in French or German. The material found in the articles tend to be highly cited and of lasting importance.
Full Text American Journal of Mathematics
Online version (1996+)
Online version (1878+ except last 5 years)
General Collection QA 1 .A51 (1878-August 2002)
The oldest mathematics journal in the Western Hemisphere in continuous publication. Publishes articles of broad appeal covering the major areas of contemporary mathematics.
Full Text Annals of Mathematics
Online version (1884-2000)
Online version (1998-present)
Microfilm QA 1 .A6 (1884-1967)
General Collection QA 1 .A6 (1967+)
Publishes articles in all areas of mathematical research.
Full Text Annals of the Institute of Statistical Mathematics
Online version (1997+)
General Collection QA 276 .T6 (1972+)
Microfilm QA 276 .T6 (1949-72)
AISM provides an international forum for open communication among statisticians and researchers working with the common purpose of advancing human knowledge through the development of science and the technology of statistics.
Full Text The American Mathematical Monthly: The Official Journal of the Mathematical Association of America
Online version (1894+ except last 3 years)
Microfilm QA 1 .A515 (1894-1936)
Microfiche QA 1 .A515 (1933-52)
General Collection QA 1 .A515 (1946+)
Expository articles on all components of mathematics, pure and applied, old and new. Regular columns devoted to basic and complex problems and reviews are included.
Full Text Bulletin (New Series) of the American Mathematical Society
Online version (1996+)
General Collection QA 1 .A52 (1979-1994, 2001+)
Publishes two types of articles: 1) papers that present a clear and insightful exposition of significant aspects of contemporary mathematical research, and 2) brief, timely reports on important mathematical developments. It also contains four to eight lengthy book reviews in each issue. Continues Bulletin of the American Mathematical Society (1894-1978).
Full TextThe College Mathematics Journal: An Official Publication of the Mathematical Association of America
Online version (1984+ except last 3 years)
General Collection QA 11 .A1 T9 (1984+)
Articles on mathematics, curriculum and pedagogy, problems and solutions, classroom notes, and a special section on computers. Focuses on the earlier years of college-level mathematics.
Duke Mathematical Journal
Microfiche QA 1 .D6 (1935-1968)
General Collection QA 1 .D6 (1969+)
The focus is on pure mathematics, publishing approximately 100 articles a year.
Full Text Historia Mathematica
Publishes historical scholarship on mathematics and its development in all cultures and time periods. While most of the articles are written in English, some are in French or German.
Full Text IMA Journal of Applied Mathematics
Online version (1998+)
Online version (1998+)
General Collection QA 1 .I47 (1987+)
Publishes papers in all areas of mathematics, including analytic and numerical treatments of both physical and nonphysical applied mathematical problems.
Full TextInventiones Mathematicae
The express purpose of this journal is to publish new contributions to the field of mathematics. Some of the articles are in German or French.
Full Text Journal of the American Mathematical Society
Online version (1996+)
Online version (1988+ except last five years)
General Collection QA 1 .J6 (1988+)
Material published in this journal is devoted to significant research articles of the highest quality in all areas of pure and applied mathematics.
Full Text The Mathematical Intelligencer
Online version (1993+ except last 12 months)
General Collection QA 1 .M427 (1988+)
Informs and entertains an international readership of professional mathematicians. Articles include discussion on mathematics, mathematicians, and the history and culture of mathematics.
Full Text Mathematical Proceedings of the Cambridge Philosophical Society
Online version (1997+)
Online version (1997+)
General Collection Q 41 .C172 (1975-2003)
The whole range of pure and applied mathematics, theoretical physics, and statistics are covered in this journal.
Full TextMathematics Teacher
Online version (1996-Nov 2001)
General Collection QA 1 .N28 (1908/09-1992); (2003+)
Microfilm QA 1 .N28 (1908/09-1975); (1990-2002)
Cum. Index: 1908-1985.
The oldest journal published by the National Council of Teachers of Mathematics (NCTM), publishing articles on the improvement of instruction of mathematics in junior and senior high schools, two-year colleges, and teacher education colleges.
Memoirs of the American Mathematical Society
General Collection QA 3 .A57 (1988+)
More a monographic series than a journal, with each issue containing one lengthy research paper or a group of related papers. The focus is broadly on pure and applied mathematics topics.
Full Text Proceedings of the American Mathematical Society
Online version (1996+)
Online version (1950+ except last 5 years)
General Collection QA1 .A5159 (1950+)
Publication is devoted to short research articles (not to exceed ten printed pages) in all areas of pure and applied mathematics. To be published in the Proceedings, a paper must be correct, new, and significant. Further, it must be of interest to a substantial number of mathematicians.
Full Text Proceedings of the London Mathematical Society
Online version (1997+)
Online version (1997+)
General Collection QA 1 .L5 (2nd Series (1920/21-1948/49))
(Index 2nd Series (1903-1952))
(3rd Series (1951-2003))
(Index 3rd Series (1951-1972))
Presents research papers in the fields of real and complex analysis, differential equations and related areas, topology, geometry, logic, probability and statistics, algebra, number theory, and combination theory.
Full Text The Quarterly Journal of Mathematics, Oxford Series
Online version (1998+)
Online version (1998+)
General Collection QA 1 .Q22 (1970+)
Publishes original contributions to pure mathematics with areas such as algebra, differential geometry, and global analysis receiving particular emphasis.
Full TextQuarterly of Applied Mathematics
Microfilm QA 1.Q25 (1943/44-1969/70)
General Collection QA 1 .Q25 (1970/71+)
Original papers in applied mathematics that have a close connection with applications in industrial or practical science are published in this journal.
Full Text SIAM Review
Online version (1959+ except last 5 years)
Online version (1996+)
General Collection QA 1 .S2 (1959+)
Consists of five sections, all covering articles of broad interest. Publishes papers with a deliberately integrative and up-to-date perspective on major topics in either applied or computational mathematics or scientific computing.
Full TextStudies in Applied Mathematics
Online version (1997+)
Online version (1997+)
Online version (1998+)
General Collection Q 1 .J6875 (1969+)
Publication reports research results involving the core concepts of applied mathematics research. The domain is the interplay between mathematics and applied disciplines.
Full TextTransactions of the American Mathematical Society
Online version (1996+)
Online version (1900+ except last 5 years)
General Collection QA 1 .A522 (1900+)
The editorial focus is on research articles in all areas of pure and applied mathematics with the papers being longer than ten pages.

Definitions and Summaries

Sources such as dictionaries and encyclopedias are good starting points for obtaining basic information about issues, events, and concepts in the field of mathematics.

Comprehensive Dictionary of Mathematics
A three-volume series that focuses on mathematical terms and definitions of critical importance to practicing mathematicians and scientists. Provides working definitions, meanings of terms, related references, and a list of alternative terms and definitions. The volumes in the series include:
  • Dictionary of Algebra, Arithmetic, and Trigonometry -- Reference QA 5 .D4983 2001
  • Dictionary of Analysis, Calculus, and Differential Equations -- Reference QA 5 .D53 2000
  • Dictionary of Classical and Theoretical Mathematics -- Reference QA 5. D4984 2001
CRC Concise Encyclopedia of Mathematics
Reference QA 5 .W45 1999
A compendium of mathematical definitions, formulas, figures, tabulations, and references 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. It draws connections between many areas of mathematics and science and offers concise, definitions, a multidisciplinary approach regarding the use of mathematics, 110,000 cross-references to other topics and sources (including many internet sites), and thousands of illustrations, formulas and derivations.
A Dictionary of Named Effects and Laws in Chemistry, Physics, and Mathematics
Reference Q 123 .B3 1980
Defines effects, laws, units and other phenomena named after scientists in the fields of chemistry, physics, and mathematics.
Elsevier's Dictionary of Mathematics
Reference QA 5 .E48 2000
Selection of the terms for the dictionary was based either on their significance or on their frequency of use according to authoritative encyclopedias, dictionaries and textbooks. Included are both modern developments and contemporary changes in terminology as well as recently established terms. The terminology covers all the major branches of mathematics from elementary to advanced subjects.
Encyclopaedia of Mathematics
Reference QA 5 .M3713 1988 + Supplement
The articles in this 10-volume set vary from short definitions to long survey pieces dealing with the major directions in mathematics. Most articles have references for further study. Extensive cross-references. Volume 10 is the subject and author index. A Supplement was published in 1997.
Encyclopedia of Mathematics
Reference QA 5 .T34 2005
A one-volume encyclopedia with more than 1,000 entries and more than 125 photographs and illustrations. This book unites disparate ideas and provides the meaning, history, context, and relevance behind each one.
Encyclopedia of Mathematics Education
Reference QA 11 .E665 2001
A single-volume reference work for readers and researchers investigating national and international aspects of mathematics education at the elementary, secondary, and post-secondary levels. Provides basic information for the investigation of national and international aspects of mathematics education.
Encyclopedic Dictionary of Mathematics
Reference QA 5 .I8313 1987
This four-volume set concisely describes all significant mathematical results, pure and applied, elementary to advanced.
http://www.cut-the-knot.org/glossary/atop.shtml
List of terms describing various aspects of mathematics.
The Hutchinson Pocket Dictionary of Maths
Defines mathematical terms in clear and understandable language.
The International Dictionary of Applied Mathematics
Reference QA 5 .I5
Defines terms and describes the methods in the applications of mathematics to thirty-one fields of physical science and engineering. These definitions and descriptions have been chosen to comprise those terms in general use and those methods that have proved most fruitful in practical calculations and analysis.
McGraw-Hill Dictionary of Scientific and Technical Terms
Reference Q 123 .M34 1994
A dictionary intended for the scientific and engineering specialist, as well as for the "non-specialist needing comprehensive yet accessible definitions of scientific terminology" (preface). Includes over 110,000 terms, each of which is identified by its field of use.
http://en.wikipedia.org/wiki/Mathematics
A free content encyclopedia written collaboratively by contributors from around the world. Defines and describes approximately 150 mathematical terms.
http://mathworld.wolfram.com/
Defines terms frequently used in mathematics, along with many illustrative examples. May be browsed by letter or searched by term.

Handbooks and Tables

There are a number of important handbooks and manuals dealing with specific areas or functions in mathematics. Handbooks are excellent sources to use for an overview of a topic, to begin a literature search, and to find discussions about schools of thought, theoretical approaches, and landmark research studies. They provide a more in-depth and comprehensive treatment than encyclopedias or dictionaries on a specific topic in the field.

http://www.scenta.co.uk/tcaep/
A collection of mathematical constants and equations covering algebra, trigonometry, integration, differentiation, SI units, and symbols. Maintained by the Institute of Physics (IOP), a leading professional and research society.
Top-pick CRC Standard Mathematical Tables and Formulae
Reference QA 47 .M315 1996
Provides basic mathematical reference material required for mathematics, engineering, and the physical sciences.
Top-pick CRC Standard Probability and Statistics Tables and Formulae
Reference QA 273.3 .Z95 2000
Brings together an extensive collection of relatively standard statistical tables.
A Dictionary of Inequalities
Reference QA 295 .B928 1998
Intended to be a handy reference to the vast literature of inequalities. Inequality can be found by its usual name or if this is not known then by subject. The entry consists of a short statement of the result, some comments, references to related inequalities and a list of sources for further information.
The Encyclopedia of Integer Sequences
Reference QA 246.5 .S66 1995 (computer disk at Circulation Desk)
Contains about 5,500 integer sequences with a brief description and citations to literature for each sequence. Following sequences of particular interest, there are essays on their origins, uses, and connections to related sequences.
Handbook of Analytic-Computational Methods in Applied Mathematics
General Collection QA 40 .H358 2000
Twenty-two chapters focus on various aspects of analytic computational methods in approximation theory and other related fields. The articles represent the leading research activities of contemporary, mainstream applied mathematics and address problems in a broad range of disciplines, from economics to statistics, dynamic programming, and engineering.
Handbook of Applied Multivariate Statistics and Mathematical Modeling
General Collection QA 278 .H3453 2000
Explains the appropriate uses of multivariate procedures and mathematical modeling techniques. Prescribes practices that enable applied researchers to use procedures effectively without needing to concern themselves with the mathematical basis.
Handbook of Applied Optimization
General Collection QA 402.5 H334 2002
Covers the optimization problems in a wide range of settings, from the airline and aerospace industries to telecommunications, finance, health systems, biomedicine, and engineering.
Handbook of Chemometrics and Qualimetrics
Reference QD 75.4 .S8 H36 1997
Comprehensive coverage of the various fields of chemometrics, starting with classical statistical methods for hypothesis testing to advanced methods such as neural networks, genetic algorithms and latent variable based methods. Includes contributions from authors with both academic and industrial backgrounds and has applications from all fields of chemistry and pharmacy.
Handbook of Combinatorics
General Collection QA 164 .H33 1995
Collection of survey articles by various top class mathematicians about combinatorics, and the links the subject has with other branches of knowledge, from topology to biology.
Handbook of Differential Equations: Ordinary Differential Equations
General Collection QA 372 .H36 2004
A collection of survey papers in the theory of ordinary differential equations, showing the state of the art and presenting some of the main results and methods used to solve various types of problems.
Handbook of Discrete and Combinatorial Mathematics
General Collection QA 164 .H36 2000
Comprehensive collection of ready reference material for all of the important areas of discrete mathematics, including those essential to its applications in computer science and engineering. The handbook also includes glossaries, lists of important theorems and formulas, examples illustrating terms and concepts, descriptions of algorithms, summary tables, pointers to print and non-print resources, and biographical sketches of important figures.
Handbook of Dynamical Systems
General Collection QA 614.8 H36 2002
A comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems.
Handbook of Elliptic and Hyperelliptic Curve Cryptography
General Collection QA 567.E44 H36 2006
A thorough study of nearly all the mathematical aspects of public key cryptography based on the discrete log system and explores both theory and applications.
A Handbook of Essential Mathematical Formulae
General Collection QA 41 .D38 2004
Contains vital information and formulae for algebra, geometry, calculus, numerical methods and statistics.
Handbook of Function and Generalized Function Transformations
General Collection QA 331 .Z39 1996
Source book that provides quick and easy access to the most important properties and formulas of function and generalized function transformations. This book highlights the main properties and formulas of over 50 function transformations. The book is geared toward students and non-specialists in mathematics, science, and engineering.
Handbook of Game Theory with Economic Implications
General Collection HB 144 .H36
Surveys game theory and its applications, particularly to economics, but also to politics, mathematics, psychology, and biology.
Handbook of Geometric Computing: Applications in Pattern Recognition, Computer Vision, Neuralcomputing, and Robotics
General Collection QA 448 .D38 H353 2005
Addresses a broad audience of applied mathematicians, physicists, computer scientists, and engineers. It brings together under a single cover the most recent advances in the applications of geometric computing in the most important fields related to building perception action systems: computer vision, robotics, image processing and understanding, pattern recognition, computer graphics, quantum computers, brain theory and neural networks.
Handbook of Graphs and Networks: From the Genome to the Internet
General Collection QA 402 .H36 2003
The dynamics of networks and their structure have emerged as a key concept across disciplines.  With research on the verge of a newly developing field of the theory of evolving networks, this book defines this field and presents the state-of-the-art of theoretical methods and approaches.
Handbook of K-Theory
General Collection QA 612.33 .H36 2005
The handbook offers a compilation of techniques and results in K-theory.  These two volumes consist of chapters, each of which is dedicated to a specific topic and is written by a leading expert.  The overall intent of this handbook is to offer the interested reader an exposition of our current state of knowledge as well as an implicit blueprint for future research.
Handbook of Mathematical Formulas and Integrals
Reference QA 47 .J38 2000
Provides reference material that helps simplify the solution of a problem, both by easing the task of locating important functional relationships and also by removing the tedium of evaluating most of the integrals that arise. Covers formulas, functions, relations, and methods from algebra, trigonometric, exponential functions and more.
Full TextHandbook of Metaheuristics
Online version
General Collection T 57 .H34 2003
Consists of 19 chapters covering such topics as scatter search, tabu search, genetic algorithms, genetic programming, memetic algorithms, variable neighborhood search, guided local search, GRASP, ant colony optimization, simulated annealing, iterated local search, multi-start methods, constraint programming, constraint satisfaction, neural network methods for optimization, hyper-heuristics, parallel strategies for metaheuristics, metaheuristic class libraries, and A-teams.
Handbook of Nonlinear Partial Differential Equations
General Collection QA 372 .P726 2004
A reference for professionals in mathematics, physics, mechanics, and engineering which provides exact solutions for nonlinear equations encountered in science and engineering. The equations include those of parabolic, hyperbolic, elliptic and other types. The authors pay special attention to equations of general form that involve arbitrary functions. A supplement at the end of the book discusses the classical and new methods for constructing exact solutions to nonlinear equations. The authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the equations in increasing order of complexity.
Handbook of Numerical Analysis
General Collection QA 297 .H287
Covers all the major aspects of numerical analysis, including the basic methods of analysis under headings including finite difference methods, finite element methods, techniques of scientific computing, and numerical methods for fluids.
Handbook of Semidefinite Programming: Theory, Algorithms, and Applications
General Collection T 57.74 .H355 2000
Offers an advanced and broad overview of the current state of the field of semidefinite programming (SDP). This field is of interest to researchers of diverse backgrounds, including experts in convex programming, linear algebra, numerical optimization, combinatorial optimization, control theory, and statistics.
Handbook of Sequential Analysis
Online version
General Collection QA 279.7 .H36 1991
Presents a broad spectrum of sequential analysis and its applications in diverse fields in a cohesive and integrated form.
Handbook of the Logistic Distribution
General Collection QA 273.6 .H35 1992
Discusses in detail the mathematical and statistical properties of the function as applied to linear observations.
Prentice Hall's Reference to Mathematics: A Guide for Everyday Math
General Collection QA 40 .C54 2003
Describes and explains different mathematical operations and formulae, along with step-by-step processes, worked-out examples with explanatory comments, and extensive glossary and index.
Statistical Tables, Explained and Applied
General Collection QA 276.25 .L3813 2002
Contains several new or unpublished tables, such as one on the significance of the correlation coefficient r, one giving the percentiles of the statistic for monotonic variation (with two structural models of variation), an extensive table for the number-of-runs test, three tables for the binomial sum of probabilities, and a table of coefficients for the re-conversion of orthogonal polynomials. In the case of the more familiar tables, all values have been re-computed. An appendix contains supplementary examples that pertain to the various tables. Also includes a glossary of often-used concepts and methods, statistical as well as mathematical.

Quotations

A Dictionary of Quotations in Mathematics
Reference QA 99 .D53 2002
Contains a large number of quotations that are indexed by both keyword and author. Some of the areas covered are historical origins, linguistics, the arts, mathematicians themselves, logic, real and idealized space, number theory, algebra, computers, probability theory, and statistics.
Mathematically Speaking: A Dictionary of Quotations
Online version
Reference QA 99 .M363 1998
Collects quotes about math from mathematicians and non-mathematicians alike. The quotes are divided among topics such as calculation, analogy, deduction, circle, discovery, pi, reasoning, map, parabola, and topology.

Biographies

There are countless sources for biographical information. In addition to the sources cited below, also check the sources listed under "Definitions and Summaries."

http://www.agnesscott.edu/lriddle/women/women.htm
These pages are part of an on-going project by students in mathematics classes at Agnes Scott College in Decatur, Georgia, to illustrate the numerous achievements of women in the field of mathematics. There are biographical essays or comments on most of the women mathematicians and some photos.
Contains biographical information on over one million individuals from all time periods, geographical locations, and fields of endeavor. The "Biographical Facts Search" allows searching for people based on one or more personal facts, such as occupation.
A Century of Mathematics in America
General Collection QA 27 .U5 C46
A series of articles on the different aspects of American mathematical history over the past century.
History of Greek Mathematics
General Collection QA 22 .H4
An excellent reference for looking up Greek mathematicians. Even the most obscure mathematicians are covered in good detail along with what they proved, as well as how they proved it.
A History of Mathematics in America Before 1900
General Collection QA 27.U5 S6 1980
Organized historically, covering the uses of mathematics, the development of mathematics instruction and research, and discussion of the important names in mathematics in America from the earliest settlement to the year 1900. The book is divided into four chapters, each chapter dealing with a particular time period in chronological order.
Leading Personalities in Statistical Sciences: From the 17th Century to the Present
General Collection QA 276.156 .L43 1997
Spanning almost four centuries, chronicles the lives and achievements of more than 110 of the most prominent names in theoretical and applied statistics, and in probability.
http://www-groups.dcs.st-and.ac.uk/~history/
An integrated collection of over 1,000 biographies and historical articles of a mathematical nature, alongside interactive birthplace maps and the famous curve applet.
Top-pick Notable Mathematicians: From Ancient Times to the Present
Reference QA 28 .N66 1998
A comprehensive source of biographical information on mathematicians throughout recorded history.
Notable Women in Mathematics: A Biographical Dictionary
Reference QA 28 .N68 1998
Substantive biographical essays on women from around the world, from antiquity to the present, who have made significant contributions to mathematics. Although the collection includes historical women, the emphasis is on contemporary mathematicians. Each profile describes major life events, obstacles faced and overcome, educational and career milestones (including a discussion of mathematical research in non- technical terms), and outside interests.
Remarkable Mathematicians: From Euler to von Neumann
General Collection QA 28 .J36 2002
Profiles 60 important mathematicians whose combined stories represent an outline of the way in which mathematics developed from 1700 to 1910. The biographies are arranged chronologically and emphasize the life stories of the characters rather than the details of their achievements.
Russian Mathematicians in the 20th Century
General Collection QA 28 .R87
Presents the main achievements of Russian mathematicians in the 20th century. The book presents differences in mathematical styles and focuses on Soviet mathematicians who often discussed "what to do" rather than "how to do it”.
Statisticians of the Centuries
General Collection QA 276 .156 .S73 2001
A collection of biographies of statisticians that have contributed to the field, from the sixteenth through the twentieth centuries.
Women of Mathematics: A Bio-bibliographic Sourcebook
Reference QA 28 .W66 1987
Contains a biography, a summary of achievements, and a bibliography of works by and about the mathematician.

Directories

http://www.ams.org/cml/
Provides contact information for members of the American Mathematical Society (AMS), Mathematical Association of America (MAA), Society for Industrial and Applied Mathematics (SIAM), and American Mathematical Association of Two-Year Colleges (AMATYC).

Internet Sources

There are literally thousands of Internet (or World Wide Web) sites pertinent to mathematics. Most of the following are essentially "meta-sites," starting places for finding and linking to a wide variety of information online.

http://e-math.ams.org/
A database sponsored by the American Mathematical Society with links to different aspects of the association. The "Math on the Web" link provides a long list of Internet sites arranged by broad subject categories, such as "Guides," "People," and "Reference."
http://mthwww.uwc.edu/wwwmahes/files/math01.htm
Provides links to a great variety of mathematical and mathematical-related web sites. Categorizes entries from General Mathematics WWW Servers in the US, in foreign countries as well as links to Pure Mathematics, Applied Mathematics and Mathematical Physics, etc., math gophers and newsgroups, all the way to Miscellaneous Web Pages in Mathematics. Maintained at the University of Wisconsin -- Marathon County.
http://www.mathforum.org/
Provides links to many good mathematics resources, organized by subject, plus an extensive archive on commonly-asked questions. Maintained by Drexel University in Philadelphia, Pennsylvania.
http://www.math.fsu.edu/Virtual/
Provides pages with links pertaining to a wide range of mathematics and mathematical-related areas including addresses, electronic journals, math department web pages, math education, math gophers and newsgroups, mathematical software index, specialized fields, and a LaTeX archive. Under general resources are links to various research institutions and professional societies, Internet sites pertaining to a broad spectrum of mathematical subjects -- both serious and fun -- such as a fractal movie archive, a mathematical tables web site, math magic, and even a page on math in the movies. Hosted and maintained by the Florida State University Department of Mathematics.
http://www.mathacademy.com/pr/index.asp
Platonic Realms is a collaborative effort of math graduate students and educators, and includes the Math Links Library with over 700 math links; the Quotes Collection (a collection of mathematical quotations arranged by author); the Platonic Realms Online Bookstore a collaboration with Amazon.com offering a extensive listing of mathematical titles; Mini-Texts, essays/monographs on general mathematical topics; and Pocket Topics, brief essays on specific and focused subjects like Zeno's Paradoxes, etc. Maintained by Math Academy Online/ Platonic Realms and edited by D. Sidney Smith at the University of Colorado -- Boulder.

Style Manuals

The sources below offer assistance with the mechanics of paper presentation in the field of mathematics, such as preparing bibliographies, footnoting, underlining, and using quotation marks.

http://www.ams.org/tex/author-info.html
AMS Author Packages were designed to be used with an existing TeX system. The following must be installed: TeX (available as freeware or shareware, or from commercial TeX vendors), LaTeX or AMS-TeX, and AMSFonts (if using extra symbols).
ftp://ftp.ams.org/pub/author-info/documentation/handbk.pdf
This handbook is intended for authors and keyboarders who are preparing books or articles that have been accepted for publication by the American Mathematical Society (AMS). Articles for electronic-only publications are processed pre-acceptance; in those instances, refer to the section on electronic-only journals for information.
The Chicago Manual of Style
Ready Reference Z 253 .U69 2003
A standard guide to research, writing, and the mechanics of manuscript presentation for the purposes of publication, including examples for citing electronic publications.

Ask a Librarian

If you have questions or need additional assistance, Ask a Librarian, call the Reference Department at (407) 823-2562, or e-mail the Department at askalibrarian@mail.ucf.edu. The library liaison for Mathematics is Hal Mendelsohn, Assistant University Librarian, hmendels@mail.ucf.edu.

Last Updated: June 03, 2009