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This page contains links to online mathematical references, portals
to the world of online journals and preprints, and some good online textbooks.
General mathematical references
- MathWorld is "the web's
[self-proclaimed] most extensive mathematics resource"
hosted by Wolfram Research, the makers of Mathematica. It is a mathematical
encyclopedia containing precise articles about almost any piece of
mathematics you are likely to come across in your studies.
- MathSearch
is a mathematical search engine that searches over 200,000 documents
on English-language mathematics and statistics servers across the web.
Mathematical journals and preprints
- The University of Melbourne's
Find Information
page has an "Electronic Resources" search, that includes a large number of
online journals. Through this site (and using your library barcode), you
can access many journal articles online.
- arXiv is a freely accessible
archive of e-prints in physics, mathematics, non-linear science,
computer science, and quantitative biology.
- MathSciNet has reviews of most mathematical papers, books,
and conference proceedings. It is a subscription-only service but
can be accessed via the University of Melbourne's
Mathematics and Statistics resources site.
Mathematical Tools
- The Integrator is an online
symbolic integration tool powered by Mathematica. Never let a nasty
integral get in your way again!
Online textbooks
A good way to get your head around difficult maths is to read what lots of
different people have written about it. These are just a few of the good books
that are freely available online.
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Abstract Algebra: The Basic Graduate Year is a readable algebra
text with exercises and solutions. The first 6 chapters cover almost
all of the material in 620-321 Algebra.
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Introduction to Probability is an introductory probability text that
covers almost exactly (but in a somewhat different order) the material
in 620-201 Probability.
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The Calculus Bible is a careful introduction to one-variable
differentiation and integration and sequences and series. It is ideal for
students of 620-121/141 and 620-123/143 who don't believe anything
without proof (and anyone else looking for more exercises).
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generatingfunctionology is the book on generating functions.
It is aimed at advanced undergraduate/honours level.
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