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Indeed, much of Newton’s intellectual development can be attributed to this tension between rationalism and mysticism. At the Stourbridge Fair in 1663, at age twenty, he purchased a book on astrology, “out of a curiosity to see what there was in it.” He read it until he came to an illustration which he could not understand, because he was of ignorant of trigonometry. So he purchased a book on trigonometry but soon found himself unable to follow the geometrical arguments. So he found a copy of Euclid’s ‘Elements of Geometry’, and began to read. Two years later he invented the differential calculus.

– An excerpt from ‘Cosmos’ by Carl Sagan

We take up something-we know it is finite; but as soon as we begin to analyze it, it leads us beyond our reason, and we never find an end to all its qualities, its possibilities, its power, its relations. It has become infinite.

Swami Vivekananda

“Good, he did not have enough imagination to become a mathematician”.

– David Hilbert’s response upon hearing that one of his students had dropped out to study poetry.

imagesI have compiled a list of websites which may be used as resources for Mathematics. The compilation is not exhaustive for the obvious reason that Internet is full of thousands of such websites. Besides, I haven’t tried to categorize those websites. Some of the websites listed below also contain resources for topics not related to Mathematics, though you may find them useful anyway.

While compiling, I realized some of the links don’t exist anymore and some links lead to irrelevant stuff. I posted them anyway. May be they aren’t working temporarily. As for the level of the content, some links provide content which may be suitable for the kids and other may provide contents which are suitable for more advanced and research level pursuits.

One more thing, many of listed websites offer ‘Free to Download’ study materials. In fact, depending on your efforts, there are hundreds (thousands, may be) of e-books which can be downloaded legally while some other may provide links to download materials which may not be legal. For example, www.4shared.com offers hundreds of high quality mathematics books (and other stuff as well) to download but I guess this is illegal. Similarly, there are numerous torrent files available on internet for downloading the books. The point is: This is up to you to decide.

A Note: You are encouraged to print the material whenever it is permitted by their respective authors and distribute among those who strives to learn mathematics. And one more thing: Use wasted one sided printed papers which you usually throw in the dustbin.

If you like this effort, do let other know. Post comments. Share this post on Facebook or Twitter. Who knows there may be another Ramanujan among us!

P.S. – Though I started writing this blog for compiling mathematics websites, it occurred to me to list down some other interesting websites as well which have nothing to do with mathematics. So, I listed down those websites/links as well.

P.S. ^ 2 – As George Patton said, “A good plan, if violently executed, is better than the best plan next week.” I wrote this blog over one weekend (Saturdays are working days, sadly). Many mistakes are bound to happen. I didn’t do any formatting or organizing and hence there is no particular order of listing. I think I may be forgiven.

This blog may serve as a gateway for Mathematical Universe.

Start exploring!

Note: Above two links further provide dozens of other resourceful links.

Note: ‘Annals of Mathematics’ is the most important mathematical journal since its inception. Similarly, Arxiv.Org is where latest developments in Mathematics and other scientific areas are posted.

Department of Mathematics of Various Universities

Addendum : 03  March, 2015

This post is frequently updated.