![]() What makes this element special is the property that any element of G multiplied by e is again itself, that is, g e=g and eg=g (much like any number added to 0 is itself and any number multiplied by 1 is again itself) įor each element g in G, we require the existence of another element g' in G, called the inverse of g, such that g g'=e and g'g=e (just as inverses work in standard addition and multiplication).Įssentially, this is an abstraction of the operations of addition and multiplication that we're used to, with the exception that we do not require the operation to be commutative, i.e it is possible for a b and ba to be different. There must exist a special element e in the group, which we call the identity element of the group. The operation must be associative (this means that I can use brackets around elements being multiplied however i wish: (a b)c=a (bc)) A group G is a set (any set) in which we consider an operation (I'll denote it by *) between the group's elements which satisfies some properties we want: Now, what does that mean? The first object you will likely learn about in Algebra is a group. Pre-Calculus is mostly about training your brain to be used to dealing with common elementary functions and doing algebraic/arithmetic manipulations, so when you get to calculus you can use these as tools to actually solve exercises on what you are interested in.Ībstract Algebra, however, is concerned with sets in which you have some sort of algebraic structure. They are very different courses, not only in what they study but also in how they study their objects. Compilation of Free online math resources.If your browser is so outdated or unusual that the linked advice doesn't work, consider these ideas.You will need to install a UserScript loader first.You will see formatted as in a textbook if the MathJax UserScript is installed and working. ![]() Type this as an example (replace the [- with [ when typing): being a jerk (Jerks get banned.) Using LaTeX.image or video link-posts (Links to articles, Desmos, Wolfram|Alpha, and the like are fine.).one-sentence posts (Have some respect for people who take time to answer your question and follow the posting rules.).posting of quizzes or lists of questions.offers or solicitations of payment in any form.personal information (Check your documents before posting.).r/LearnMath Chatroom Join the unofficial IRC channel: #LearnMath on Freenode (no client required). Reddit Enhancement Suite allows Imgur URLs to be expanded inline but doesn't work so well for other image-hosts.ĬhatGPT and other large language models are not designed for calculation and will frequently be /r/confidentlyincorrect in answering questions about mathematics even if you subscribe to ChatGPT Plus and use its Wolfram|Alpha plugin, it's much better to go to Wolfram|Alpha directly.Įven for more conceptual questions that don't require calculation, LLMs can lead you astray they can also give you good ideas to investigate further, but you should never trust what an LLM tells you.We recommend using Imgur to upload images for linking inside posts.Include any equations or assumptions you are using, and descriptions of any attempts you have made.Where are you in the process? Provide those who help with as much information as possible. What does your instructor (or the text) want you to accomplish? To receive the best help, please use the following format: Sample topic questionĮX: Quadratic Equations EX: Probability Be civil and polite this is meant to be an approachable community for discussion of reason and logic. Questions, no matter how basic, will be answered (to the best ability of the online subscribers).įollow reddiquette. Post all your math-learning resources here. This is a subreddit for learning math, and can be seen as a sister subreddit to /r/math. Think /r/math is too advanced? Here, the only stupid question is the one you don't ask. We're no longer participating in the protest against excessive API fees, but many other subreddits are check out the progress among subreddits that pledged to go dark on 12 July 2023 and the top 255 subreddits (even those that never joined the protest). | Each post must include a specific title and description. Set your post to "Resolved" when answered.
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