{"product":{"product_id":"0486409163","title":"Mathematics: Its Content, Methods and Meaning (3 Volumes in One)","price":"24.49","image_url":"https://m.media-amazon.com/images/I/51zpy+K6bdL._SL500_.jpg","url":"https://www.amazon.com/dp/0486409163"},"comments":[{"body":"Mathematics: Its Content, Methods and Meaning by A. D. Aleksandrov, A. N. Kolmogorov, M. A. Lavrent’ev.\r\n\r\nPersonally read only the first chapter, but the book is praised by lots of people. I bet Mr. Nikolaevich has read it. \r\n\r\nYou can find it on Amazon https://www.amazon.com/Mathematics-Content-Methods-Meaning-Volumes/dp/0486409163","subreddit_name":"IAmA","author":"shamelessguy"},{"body":"I always suggest [this](https://www.amazon.com/Mathematics-Content-Methods-Meaning-Volumes/dp/0486409163) as an overview of the most important math fields up to the 70s, written by famous Soviet mathematicians.\r\n\r\nI consider it pretty accessible to anyone with an interest in higher math, with a strong background of high school math and physics and a deep desire to learn more.","subreddit_name":"math","author":"onetwosex"},{"body":"Well you can understand/get-the-frelong-of some stuff/concepts by reading high level books such as this:\r\n\r\nhttps://www.amazon.com/Mathematics-Content-Methods-Meaning-Volumes/dp/0486409163\r\n\r\nBut imho, if you want to understand a mathematical concept deeply, you'll have to go through the hard road of solving actual problems.","subreddit_name":"math","author":"onetwosex"},{"body":"Thanks! what do you think about [Mathematics: Its Content, Methods and Meaning](https://www.amazon.com/Mathematics-Content-Methods-Meaning-Volumes/dp/0486409163/ref=mt_paperback?_encoding=UTF8\u0026amp;me=) ? from what I searched it can teach a lot a novice like me and quite the wonderful book.\r\n","subreddit_name":"suggestmeabook","author":"Mike551144"},{"body":"\"Mathematics: Its Content, Methods and Meaning\"\r\nhttp://www.amazon.com/Mathematics-Its-Content-Methods-Meaning/dp/0486409163\r\nI thought this was a pretty good read. Its not programming oriented, but it does help for showing a brief dip into different maths fields and some of the concepts therein. ","subreddit_name":"math","author":"Reaper666"},{"body":"If there is something close to an Encyclopaedia Mathematica, but you can read it like a novel, it is these three volumes from Aleksandrov/Kolmogorov/Laurentiev.  [Amazon](http://www.amazon.com/Mathematics-Its-Content-Methods-Meaning/dp/0486409163/ref=sr_1_1?ie=UTF8\u0026amp;s=books\u0026amp;qid=1266882652\u0026amp;sr=1-1)\r\n\r\nEdit: Ahem, but after reading carefully post0, I would recommend you simply to begin with the textbooks of secondary school or so.","subreddit_name":"math","author":"numayos"},{"body":"https://www.amazon.com/Mathematics-Content-Methods-Meaning-Volumes/dp/0486409163","subreddit_name":"math","author":"onetwosex"},{"body":"For an amazing bird's eye view of most mathematical fields:\r\n\r\nhttps://www.amazon.com/Mathematics-Content-Methods-Meaning-Volumes/dp/0486409163","subreddit_name":"math","author":"onetwosex"},{"body":"[Mathematics: Its Content, Methods and Meaning](http://www.amazon.com/Mathematics-Content-Methods-Meaning-Dover/dp/0486409163/ref=sr_1_2/180-7667062-0722611?ie=UTF8\u0026amp;qid=1433445333\u0026amp;sr=8-2\u0026amp;keywords=kolmogorov)","subreddit_name":"math","author":"carmichael561"},{"body":"Available on Amazon\r\n\r\nhttp://www.amazon.com/Mathematics-Content-Methods-Meaning-Dover/dp/0486409163","subreddit_name":"math","author":"carmichael561"},{"body":"Get this book. It's cheap, given  it's over 1200 pages.\r\n\r\nhttps://www.amazon.es/Mathematics-Content-Methods-Meaning-Dover/dp/0486409163/","subreddit_name":"mathematics","author":"ena_dyo_tria"},{"body":"https://www.amazon.es/Mathematics-Content-Methods-Meaning-Dover/dp/0486409163/\r\n\r\nIt's like a 1200 paged encyclopedia of math.","subreddit_name":"mathematics","author":"ena_dyo_tria"},{"body":"\\\u0026gt; felt inspired to deepen and recap my math skills. \r\n\r\n[https://www.amazon.es/Mathematics-Content-Methods-Meaning-Dover/dp/0486409163/](https://www.amazon.es/Mathematics-Content-Methods-Meaning-Dover/dp/0486409163/)\r\n\r\n\\\u0026gt; Hence, I was wondering if anyone has a recommendation for a math book that focuses on applied mathematical questions (but also provides solutions). \r\n\r\nUhmmm...maybe G. Strang's Linear Algebra book. It's pretty applied.\r\n\r\n\\\u0026gt; My goal is to improve my math skills to improve my coding skills, hardware building capabilities, and in general, understand the world around us better (mathematically speaking).\r\n\r\nYou'll need many books and a lot of time to invest for such a goal. I can offer some suggestions:\r\n\r\n\\- The book(s) mentioned earlier \u0026amp; a good Calculus book. Learn Calculus \u0026amp; Linear algebra well, and you'll be ready to attack most engineering problems. \r\n\r\n\\- For hardware: [https://www.nand2tetris.org/](https://www.nand2tetris.org/)\r\n\r\n\\- Coding: Project Euler, Leetcode, or/and any good algorithms book such as Skiena's \"Algorithm design manual\" or J. Erickson's [Algorithms book](http://jeffe.cs.illinois.edu/teaching/algorithms/).","subreddit_name":"mathematics","author":"ena_dyo_tria"},{"body":"\\\u0026gt; I sometimes feel like my degree isnt good as I don't know a lot of the words used in formal mathematics which then makes me feel like I'm not a proper mathematician and not as \"good\" as I thought I would have been by this point.\r\n\r\nAs a person that entered math from a physics BSc, I can feel you.\r\n\r\nI still have the feeling that I'm not a \"proper mathematician\" because I still lack foundations in real analysis, topology, abstract algebra and differential geometry, but I've set a long-term plan to cover such fields via self-study.\r\n\r\nAnd I feel this imposter syndrome ever since I've entered in a math dept. for a  MSc in computational math. The philosophy of the dept. was radically different from that of physics, so I did long personal readings to fill in any gaps I would have comparing to my math BSc co-students. Did graduate with an \"Excellent\" grade (\\~85%, my physics BSc was with a 70%), but I know I still have a lot to learn.\r\n\r\nIf you'd like to have a high-level view of what is out there, I can recommend 1 book for math, and 2 books for math physics. The good with physics, at least for me, was that it showed me how many important math fields (linear algebra, vector calculus, ODEs, PDEs, Fourier series, orthogonal polynomials, etc) were applied in real life problems. So I had seen the applications, and then I decided I wanted to dive deeper in the \"tools\" of Physics.\r\n\r\nIn my MSc I've fallen in love with mathematical logic too and the foundations, and computability, complexity theory etc. So...naturally the  next step for me is to do a PhD in theoretical computer science, just for the sake of knowledge. \r\n\r\nAnyway. The books:\r\n\r\n1. [https://www.amazon.com/Mathematics-Content-Methods-Meaning-Volumes/dp/0486409163](https://www.amazon.com/Mathematics-Content-Methods-Meaning-Volumes/dp/0486409163)\r\n2. [https://www.amazon.com/Course-Mathematics-Students-Physics/dp/0521406498/](https://www.amazon.com/Course-Mathematics-Students-Physics/dp/0521406498/)\r\n3. [https://www.amazon.com/Course-Mathematics-Students-Physics/dp/0521406501](https://www.amazon.com/Course-Mathematics-Students-Physics/dp/0521406501)\r\n\r\nAs a final note:  \r\nthe feeling that \"you're not good enough\", never really goes away.  \r\n\r\n\r\nYou just get used to it, and maybe at some point you'll learn not to mind it that much.\r\n\r\nIn the end, the best thing we can do in our short lives is to learn what we don't know and do then our best to try to broaden the shore of our knowledge some centimeters inside the ocean of ignorance...  \r\n\r\n\r\nKeep it up. Never give up.","subreddit_name":"mathematics","author":"ena_dyo_tria"},{"body":"I have a physics bg, but become increasingly interested in mathematics as years passed by. So I got into the habit of self-studying, mostly from translated Soviet Dover books.\r\n\r\nI found that the following provides a nice overview of the basic math sub-fields, and it should be helpful for you too:\r\n\r\nhttps://www.amazon.es/Mathematics-Content-Methods-Meaning-Dover/dp/0486409163/\r\n\r\nYou might like my [goodreads list](https://www.goodreads.com/review/list/60137381-mi-lia?shelf=%23ALL%23) too.\r\n\r\nKeep up the good work, believe in yourself, look out for friendly math communities either online (eg. this one) and offline, and never again let others define what you like and what you don't like :).","subreddit_name":"mathematics","author":"mlliarm"}]}