![]() ![]() ![]() In Chapter 5, the minimum principle of Pontryagin as it applies to optimal control problems of nonpredetermined duration, where the state variables satisfy an autonomous system of first-order equations, is developed to the extent possible by classical means within the general framework of the Hamilton-Jacobi theory. Chapter 4 is a self-contained treatment of the homogeneous problem in the two-dimensional plane. The first three chapters deal with variational problems without constraints. The treatment is limited to a thorough discussion of single-integral problems in one or more unknown functions, where the integral is employed in the riemannian sense. The purpose of this text is to lay a broad foundation for an understanding of the problems of the calculus of variations and its many methods and techniques, and to prepare readers for the study of modern optimal control theory. and the pace of the development is appropriate for most students at the senior or first year graduate level." - American Mathematical Monthly eminently suitable as a text for an introductory course: the style is pleasant the prerequisites are kept to a minimum. 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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