![]() However, Get Archive LLC does not own each component of the compilation displayed and accessible on the PICRYL website and applications. Get Archive LLC is the owner of the compilation of content that is posted on the PICRYL website and applications, which consists of text, images, audio, video, databases, tags, design, codes, and software ("Content"). Get Archive LLC does not charge permission and license fees for use of any of the content on PICRYL, however, upon request, GetArchive can provide rights clearance for content for a fee. GetArchive believes there are no usage restrictions or limitations put on content in the U.S. Permission for use, re-use, or additional use of the content is not required. Get Archive LLC, creator of PICRYL, endeavors to provide information that it possesses on the copyright status of the content and to identify any other terms and conditions that may apply to the use of the content, however, Get Archive LLC offers no guarantee or assurance that all pertinent information is provided, or that the information is correct in each circumstance. PICRYL makes the world's public domain media fun to find and easy to use. PICRYL is an AI-driven search & similarity engine. PICRYL is the largest media source for public domain images, scans, and documents. Here's just a very small handful which I’d recommend taking a look at.The World's Largest Public Domain Media Search Engine There are countless wonderful works out there about math aimed at the general public. But part of me feels like the best thing for any young learner will be a set of good problems to chew on, more so than a set of good books. And when I was younger I remember a certain fascination with many of the wooden books my dad gave me. That's not to say I didn't learn from books at all before then, there are a handful of texts such as the original Art of Problem Solving books which were very influential. It was really only once I got to college that I began learning meaningfully from math books, with more of my learning before then coming from interactions with teachers, poking around online, and getting lost in my own head. There are undoubtedly many great books for those in high school and below, but I feel less well-positioned to give recommendations in that direction. The recommendations above are targeted at those in college or beyond. If it is out of the blue, it's okay to move forward anyway, just keep note of the fact that there is a lurking question mark.Īlso, although it’s not quite a book, you may also enjoy the expository papers written by Keith Conrad, especially if you’re looking to learn group theory or number theory. Be willing to meditate on what the right way to think about a given object is, and ask what would happen if definitions were tweaked.Īsk yourself if each new construct feels motivated, or if it's out of the blue. Try to predict what proofs will look like before reading them. Read with a pencil and paper in hand to jot down notes and work on exercises (yes, you should actually do the exercises!). If there's a field of research you've heard of, say something like analytic number theory, and you're curious to get a feel for what it's all about, the corresponding essay in that section is likely to do a fantastic job.įor any textbooks that you read, try to avoid being passive. ![]() ![]() Where it shines is in section IV, which includes many expository introductions to various fields of modern math. By Timothy Gowers (and many, many others)īooks can never replace the intuition available if there's a professor down the hall whose door you can knock on to start asking questions. ![]()
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