Do Carmo's book is highly classical, and focuses on the study of smooth curves and surfaces (after which the book is named.)Īlso, manifolds with complex structure are in general studied separately from when one initially approaches differential geometry e.g. It's advantageous to study manifolds intrinsically, if that makes sense. Smooth manifolds, for example, are entities that are locally similar to ℝ n that hold suitable notions of differentiability, but may possess more complicated global structure - the restraint when explicitly working with manifolds in ℝ n, you're citing an "ambient space" or assuming that the manifold can be referenced in certain spaces when for example, you can't embed real projective space of dimension 2 into R3. TeX all the things Chrome extension (configure inline math to use delimiters) MathJax userscript (userscripts need Greasemonkey, Tampermonkey or similar) To view LaTeX on reddit, install one of the following: If you feel you were banned unjustly, or that the circumstances of your ban no longer apply, see our ban appeal process here.Ĭareer and Education Questions - every ThursdayĪ Compilation of Free, Online Math Resources. If you post or comment something breaking the rules, the content may be removed - repeated removal violations may escalate to a ban, but not without some kind of prior warning see here for our policy on warnings and bans. This subreddit is actively moderated to maintain the standards outlined above as such, posts and comments are often removed and redirected to a more appropriate location. Unnecessarily combative or unkind comments may result in an immediate ban. racism, sexism, homophobia, hate speech, etc.). This includes not only comments directed at users of /r/math, but at any person or group of people (e.g. If you upload an image or video, you must explain why it is relevant by posting a comment providing additional information that prompts discussion.ĭo not troll, insult, antagonize, or otherwise harass. Memes and similar content are not permitted. Image/Video posts should be on-topic and should promote discussion. If you are asking for advice on choosing classes or career prospects, please post in the stickied Career & Education Questions thread. Rule 4: No career or education related questions If you ask for help cheating, you will be banned. Do not ask or answer this type of question in /r/math. Homework problems, practice problems, and similar questions should be directed to /r/learnmath, /r/homeworkhelp or /r/cheatatmathhomework. This includes reference requests - also see our list of free online resources and recommended books. If you're asking for help learning/understanding something mathematical, post in the Quick Questions thread or /r/learnmath. Requests for calculation or estimation of real-world problems and values are best suited for the Quick Questions thread, /r/askmath or /r/theydidthemath. For example, if you think your question can be answered quickly, you should instead post it in the Quick Questions thread. Questions on /r/math should spark discussion. Rule 2: Questions should spark discussion Please avoid derailing such discussions into general political discussion, and report any comments that do so. In particular, any political discussion on /r/math should be directly related to mathematics - all threads and comments should be about concrete events and how they affect mathematics. All posts and comments should be directly related to mathematics, including topics related to the practice, profession and community of mathematics.
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