Mathematics Subject Guide

 

 

Websites:

 

American Mathematical Society

http://www.ams.org/

The American Mathematical Society provides the latest in mathematic news.  Their site gives links for students, reference sites, and math awareness to keep up-to-date on math news.  Maintained by AMS, an organization dedicated to math education and research since 1888.

 

ArXiv

http://xxx.lanl.gov/

An e-print archive of historical and current subjects in the sciences.  The site provides full text articles that are searchable by keyword, date, and subject.  Provided by Cornell University, this vast resource allows documents to be downloaded and viewed in a variety of formats.

 

Awards and prizes in mathematics

http://www.math.uiuc.edu/People/math_awards.html

This site keeps a listing of awards and prizes given to those making a difference in the mathematics field.  Maintained by the math department at the University of Illinois at Urbana-Champaign, this collection can aid researchers in discovering the work of modern mathematicians.

 

 

Journal of online mathematics and its applications

http://mathdl.maa.org/mathDL/4/

Designed specifically for undergraduates, this extensive collection provides learning tools as well as articles, many with visual elements.   This peer-reviewed collection is a subset of the Mathematical Sciences Digital Library.

 

 

The Math Forum Internet Mathematics Library

http://mathforum.org/library/

Drexel University provides an ideal website for initial research.  Subjects are broken down by topic and education level, linking researchers to websites devoted to their topic. 

 

Mathematical Atlas: A gateway to mathematics

http://www.math.niu.edu/~rusin/known-math/welcome.html

The Mathematical Atlas provides overviews of mathematical subjects with key books, articles, websites and software at the bottom of each page.  Maintained by Northern Illinois University, this database is searchable by keyword, subject, and visual maps. 

 

 

MathWorld

http://mathworld.wolfram.com/

This ideal research tool is the online component of Weisstein's CRC Concise Encyclopedia of Mathematics providing descriptions of mathematical terms and concepts.  Easy to use and provides many visuals and references for further research. 

 

 

The Prime Pages

http://primes.utm.edu/

The University of Tennessee at Martin gives an excellent source for information relating to prime numbers.  Comprehensive and continually updated, the website is good for both research and browsing.

 

 

 

Print Resources:  

 

 

Reference:

 

CRC concise encyclopedia of mathematics / Weisstein, E. W.

Reference QA5 .W45 2003

Weisstein's expertise in mathematics is apparent in this updated version of an earlier title.  This edition has many charts, graphs, pictures, and makes use of the Mathmatica software.  It is intended for a general audience, and could be helpful in obtaining a deeper understanding of mathematical concepts.  Entries are listed alphabetically with extensive cross-referencing to aid in research.  The book is supplemented by the author's website.

 

CRC Standard Mathematical Tables and Formulae / Zwillinger, D.

Reference QA47 .M315 2003

Organized by subject matter, this reference volume breaks down topics with logical progression for both in depth researchers and those additional assistance to simplify a topic.  An index, numerous charts and drawings, and a thorough table of contents make this volume helpful as a quick reference tool or for a comprehensive study aid.

 

Webster’s new world dictionary of mathematics / Karush, W.

Reference  QA5 .K27 1989

An essential guide for any mathematician.  Webster gives over 1400 definitions for simple and complex concepts in mathematics.  Entries are listed in alphabetical order and includes charts and drawings.

 

 

Circulating Collection:

 

All the mathematics you missed : but need to know for graduate school / Garrity, T. A.

QA37.3 .G37 2002

Garrity's guide recognizes the mathematics field to be vast and broad, allowing many subjects to be studied only superficially or not at all in undergraduate courses.  His guide helps students to pinpoint areas needed to prepare for graduate school, offering explanations on concepts and guides for study. 

 

Calculus with complex numbers / Reade, J. B.

QA303.2 .R43 2003

Reade attempts to give readers application for calculus and assumes the reader to already have knowledge of concepts of the subject.  Although intended for a move advanced audience, this short book is concerned not with theory but with the practicality of the subject.  An excellent supplement for calculus students.

 

Coincidences, chaos, and all that math jazz : making light of weighty ideas / Burger, E. B. & Starbird, M.

QA99 .B87 2005

A guide that makes math fun and accessible.  Using everyday examples, Berger and Starbird help explain upper-level subjects that are normally reserved for dense calculus books.  Although not ideal as a reference tool, this book certainly provides a supplement for mathematicians struggling to comprehend overwhelming concepts.

 

The history of mathematics : a brief course / Cooke, R.

Main Stacks QA21 .C649 2005

This book's aim is to minimize difficult mathematical concepts within the historical and cultural perspective.  It is not a picture book or a biographical resource, but Cooke's comprehensive guide gives light to both Western and Non-Western concepts and they way in which society affected mathematical developments.  An essential and unique tool for researchers seeking a new perspective in their research. 

 

How to read and do proofs : an introduction to mathematical thought processes / Solow, D.

QA9.54 .S65 2005

Solow's guide is written with the intent of helping math students understand the theory and use of mathematical proofs.   Recognizing the audience as students, the book includes instructions similar to those given in lecture, with helpful additions and further instruction in areas of confusion.  A glossary in included for quick reference. 

 

Encyclopedia of mathematics and its applications

The Crown Library holds numerous voulmes of this encyclopeida.  Each volume contains extensive study into specific subject areas.  Topics include (but are not limited to) Abstract regular polytopes, Stochastic integration with jumps, Topics in algebraic graph theory, Well-posed linear systems and its applications, Multiple scattering, and Geometry of sporadic groups.  They are shelved according to topic; specific call numbers can be found using the library catalog. 

 

December 2007

Contact: Molly Beestrum

 

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