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Mathematics: Explore Topics

This guide provides resources for mathematics research at Brevard College.

Background Sources

Find Background Information

Good places to find background information:

Mathematical Reference Sources

Clarify Your Question

Broad resources like the ones in the Exploration tab help to place your topic in the context of the broader discipline that you study, reveal useful search terms, and - best of all - stimulate questions that inspire your writing.

Important Considerations
  • The shorter the paper, the more specific the topic.
  • Is there a specific area within the broader topic that you're curious about or even irked by?
  • Is there a cause-effect relationship that you're curious about?
  • Look for unanswered questions.
  • Are there time periods or groups of people within the discipline that strike a chord for you?
  • If you think you've got a topic worth writing about, try to explain it informally to a friend. Are there gaps in what you know? Did any questions come up?
Are there books on your topic?

When a reference tool is too broad, it can be useful to seek out a book, and sometimes scholars get together to tackle a subject, breaking it apart into chapters written by experts on that specific subtopic. We call those books anthologies, and they can be very helpful in choosing a rabbit hole, so to speak.

Mathematics Book Databases

More Reference Databases

Handbooks, Encyclopedias, & Dictionaries

Oxford Dictionary of Statistics

Covers all aspects of statistics, including terms used in computing, mathematics, and probability

The Penguin Dictionary of Mathematics

This reference takes in all branches of pure and applied mathematics

Encyclopedia of Mathematics and Society

Allows readers to better understand how disciplines such as algebra, geometry, calculus, and others affect what we do every day

Guide to Tables in Mathematical Statistics

Catalogs tables in mathematical statistics

50 Maths Ideas You Really Need to Know

The mathematical concepts - ancient and modern, theoretical and practical, everyday and esoteric - that allow us to understand and shape the world around us

Handbook of Mathematical Formulas and Integrals

Quick access to formulas, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, differential equations and more