I am in my final semester graduating from a liberal arts college (physics/math major) and intend to study high-energy theory in graduate school. Coming from a smaller college I have not had the opportunity to take courses in partial differential equations, integral equations, or numerical/computational methods.  What resources, in the aforementioned fields, might one recommend to a student looking to get sufficiently up to speed for graduate level coursework and research (n.b. I do solid math background, in general, including linear algebra and complex analysis, which might come in handy for such topis/learning)?
In his first lesson (transcripted in "Tips on Physics"), Feynman talks about math for physicists in a very cool and practical way. And at the end of the section he talks something like "so the first thing to do is to learn to learn derivative, integral and algebra" (I don't know how much precise I'm being because I've read it in Portuguese). I would to know if there is some book that deals with math as Feynman did it in this lesson (respecting formalities, but teaching how to use the practical rules)? Also, someone have any recommendations for algebra book (college level)?
Select list of node titles for a view exposed filter How do I prove the sequence $x_{n+1}=\sqrt{\alpha +x_n}$, with $x_0=\sqrt \alpha$ converges? ( boundedness?) Finite group with isomorphic normal subgroups and non-isomorphic quotients? I know it is possible for a group $G$ to have normal subgroups $H, K$, such that $H\cong K$ but $G/H\not\cong G/K$, but I couldn't think of any examples with $G$ finite. What is an illustrative example? How to render from Eevee in Blender 2.8? I have the Blender 2.8 version from the 21st Sep 2018 I was looking forward to render a test sequence but cannot find a render button anywhere? Does anyone know where to find it? I couldn't add defer tag in plugin javascripts. Google developer pagespeed test suggests me to add defer tag in contact form 7 javascripts.   This is how contact form 7 includes javascript in header.  add_action( 'wp_enqueue_scripts', 'wpcf7_enqueue_scripts' );  function wpcf7_enqueue_scripts() {     // jquery.form.js originally bundled with WordPress is out of date and deprecated     // so we need to deregister it and re-register the latest one     wp_deregister_script( 'jquery-form' );     wp_register_script( 'jquery-form', wpcf7_plugin_url( 'jquery.form.js' ),         array( 'jquery' ), '2.52', true );      $in_footer = true;     if ( 'header' === WPCF7_LOAD_JS )         $in_footer = false;      wp_enqueue_script( 'contact-form-7', wpcf7_plugin_url( 'scripts.js' ),         array( 'jquery', 'jquery-form' ), WPCF7_VERSION, $in_footer );      do_action( 'wpcf7_enqueue_scripts' ); }   Now how to add defer="defer" tag in the above code? $SU(3)$ irreducible representations with tensor method Ever since upgrading to Windows 10 1903 the other day, my CPUs have all been pegged at 100%.  "Antimalware Service Executable" is using 60%, and "Microsoft OneDrive (32 bit)" is using 35% (with the other 5% being spread amongst everything else running).  After running like this for a day or so my computer case (Surface Tablet) is smoking hot.  How can I find out what's causing this problem?  Is there logging I can review for those services?  Known issues with 1903 that I just can't find on Google? How do people come up with difficult math Olympiad questions? Is http://stackexchange.com/ down ? Table with multiple merging Most of the places, examples for merging of cells in tables are given. But, I could not find a merging of cells in complicated fashion as shown below. This question may summarize all the possible methods of merging and may serve as the reference for all future questions on merging of cells. Experts can add much more complications if required. Is Double-Annotating HREFLANG always alright? What if I remove one of them? In theory, is it possible that the loss on the train set will increase together with the train set accuracy? (in the normal case the train set loss should go down) And vice versa, can the train loss decrease along with the accuracy?   Note: This is obviously different than the classic underfit / overfit cases which are easier to grasp. What can I use instead of the arrow operator, `->`? What are all the font styles I can use in math mode? Privilege banner buggy? Or am I just confused? On the main Stack Overflow site, I arrived and had a banner: "Congrats, you've gained the privilege – create wiki posts and 3 other privileges" This confuses me, because I only see two privileges listed at 100%. Is the banner just buggy?  Or is there a better place to see my privileges that the page linked to by that banner? How can I view Google Photos that are not in a Google Photos album? Go to  Add a few photos to a photo album Go back to All Photos   See all of the photos there, even ones you copied to the Album. No problem here, per se. At least not yet.  What if you want to delete photos that you did not copy to that album?  Where is the selector or filter that filters those "in an album already" photos from this main view?  Or is there a way to create such a filtered view such that I can then cherry-pick photos for deletion? Showing that every field is an integral domain. Why do soap operas have the soap opera effect? The soap opera effect occurs when frame interpolation is used. For example, if a movie is shot at 24 frames per second and then shown on a TV screen which is capable of displaying 60 frames per second then it is possible to use a computer to do motion interpolation. In other words the computer can average (interpolate) two frames and create a synthetic third frame and stick it between the two real frames.  This interpolation makes the picture look unnatural and plastic, somewhat like soap operas look on TV, hence the name.  My understanding of why soap operas have the soap opera effect has something to do with the fact that many of them are shot using camcorders instead of film, but I am not completely sure.  Why do soap operas have the soap opera effect? Orthographic scale of camera in Blender could somebody explain how orthographic scale is calculated in Blender? I am trying to match an orthographic view that I get from another software with that of Blender, but I am not able. Camera gets in the correct position but the zoom level is wrong.  Thanks, byte Where does the "apply bonuses and penalties in the most beneficial order" rule come from, if it exists? I have seen quoted several places on the internet a rule that one can apply bonuses and penalties in the most beneficial order.  An example I come across frequently (as a druid) is the combination of Natural Bond and . Natural Bond increases your effective druid level for determining the stats of animal companions but cannot increase it beyond your character level. Choosing an alternative animal companion lowers your effective druid level for determining the same stats. The "most beneficial order" rule is used to justify applying the level penalty before the natural bond bonus in order to get around the character level cap on natural bond.  Does this rule actually exist? If so, where does this rule originate? I would like to be able to cite a reliable source for my GM.