I need to prepare presentation about calculus, paying special attention for examination of function of one variable. I am not very advances in the topic, but I'm looking for book which contains interesting, not fundamental, examples from fields like continuity of functions, limits, differentiability.   Unfortunately, I didn't learn from english book (english isn't my national language), so books, from which I learned, contained examples for beginners, which could show just problem. According to differentiability there was just mention that, for example, function y=|x| is not differentiable in x=0, and I'm looking for examples not so obvious. For example Weierstrass function is interesting example in that field.  I didn't find book more complicated, different than basics for students.  This could be student's book or notebook. I ask for help because I have no experience with foreign books for analysis, calcus.  I will be grateful, if someone decides to help me and to recommend a book
This question is a  of the common question asking for calculus references. It is here to  away the repetition, and give a canonical resource for calculus references.      I'm looking for a resources to learn single-variable calculus.
How is light affected by gravity? Where did the pardon come from? In the  episode  (S04E08), Barristan Selmy is presented with a Royal Pardon supposedly signed by the late Robert Baratheon for Ser Jorah Morment by a lowly boy of Meereen.  However, it is a bit confusing to me as where this actually came from.  Is this the same pardon that Jorah had towards the beginning of the series while Robert was actually alive, or is this pardon one that Tywin actually forged and wrote in a previous episode (remember he asks Mace Tyrell for a quill after learning about Dany's recent actions and allies).  It being from Tywin makes sense but this point is brought up by Jorah and then defeated a sentence later as he himself states it is not a forged Pardon.    So which is it and why would Jorah say it is not a forged copy if it indeed is? Making dual power supply from single for opamp? For the circuit of opamp 741. we have to supply the dual power for it. How can I make a dual power supply from single. For example, make a (+9V)-GND-(-9V) from single 9V battery ? "I didn't realize it was him." How can we prove that     $$\sum_{k=0}^{n}\binom{R}{k}\binom{M}{n-k}=\binom{R+M}{n}?$$   (Presumptive) Source: Theoretical Exercise 8, Ch 1, A First Course in Probability, 8th ed by Sheldon Ross. I have purchased a rather large bag of long-grain white rice (25 lbs.) and need to know the best way for storing it long-term. This rice will be used as both a food-storage food source and as my everyday source of rice for cooking, so the storage solution should (hopefully) be resealable, rather than once-it's-open-it's-open. I eat rice maybe three times a month, so it isn't really "everyday" but it will be my go-to when I have it. How do you do a deep copy of an object in .NET? I want a true deep copy. In Java, this was easy, but how do you do it in C#? What noun or adjective would one give to a person that is intolerant of stupidity? A person that becomes annoyed, angry, or of very short temper when conversing or interacting with people of a lower intelligence?  For example:       The man is very xyzxyz; his son can't do multiplication very well.     or     She is a(n) xyzxyz. She gets very frustrated when people forget things.   I'm looking almost for a scientific/medical/psychological term. One that would fall into the same kind of group as words like haemophiliac, masochist, nihilist, etc. How to define a bijection between $(0,1)$ and $(0,1]$? How to define a bijection between $(0,1)$ and $(0,1]$?   Or any other open and closed intervals?   If the intervals are both open like $(-1,2)\text{ and }(-5,4)$ I do a cheap trick (don't know if that's how you're supposed to do it): I make a function $f : (-1, 2)\rightarrow (-5, 4)$ of the form $f(x)=mx+b$ by \begin{align*} -5 = f(-1) &amp;= m(-1)+b \\ 4 = f(2) &amp;= m(2) + b \end{align*} Solving for $m$ and $b$ I find $m=3\text{ and }b=-2$ so then $f(x)=3x-2.$  Then I show that $f$ is a bijection by showing that it is injective and surjective. To prove the limit of $\frac{x^2+2\cos x-2}{x\sin^3 x}$ at zero is $1/12$ It seems to me that tuples are just as elementary as sets. Can tuples be reduced to sets? I'm embarking on a new web map project that seeks to display simple geometries (lines, points, polygons) and rasters/basemaps. Ideally, the map will also allow authorized users to add/remove/edit geometries and their attributes.  What are the available options for the storage of data (e.g. SQL Server Spatial)?  What are the available options for the presentation of data (e.g. ArcGIS Server)?  I'm new to web mapping and am attempting to build a solid understanding of the available options and their pros/cons. How does a zener diode and a resistor regulate voltage? TSA lock reset button stuck and now lock button is also stuck Do tenses in a time clause never back-shift in reported speech? Do tenses in a time clause never back-shift in reported speech?  For example, does      "I went to Italy when I finished school."    become      She said she had gone to Spain when she finished school.   -or-   She said she had gone to Spain when she had finished school.   and does      "I will go to Italy when I finish school."    become     She said she would go to Italy when she finishes school.   -or-   She said she would go to Italy when she finished school. .fbx export why there are no materials or textures? 'undefined reference to symbol 'pthread_create@@GLIBC_2.2.5' while compiling bochs I'm trying to compile bochs with this command:  ./configure --with-x11 --with-wx --enable-ne2000 --enable-iodebug --enable-disasm --enable-debugger --enable-e1000 --enable-usb --enable-pci   it works, but then when I run make I got:  usr/bin/ld: gui/libgui.a(gtk_enh_dbg_osdep.o): undefined reference to symbol 'pthread_create@@GLIBC_2.2.5' /lib/x86_64-linux-gnu/libpthread.so.0: error adding symbols: DSO missing from command line   Any Help ? :/ What's the best way to get the last N elements of a Perl array? When to use \LetLtxMacro? Frequently I see users redefine macros using (for example)  \let\oldmacro\macro% Store \macro in \oldmacro \renewcommand{\macro}{%   % ...redefined \macro   \oldmacro% }   and other times they use  \usepackage{letltxmacro}% http://ctan.org/pkg/letltxmacro \LetLtxMacro{\oldmacro}{\macro}% Store \macro in \oldmacro \renewcommand{\macro}{%    % ...redefined \macro   \oldmacro% }   Why would one use \LetLtxMacro when \let works just as well? Or, more specifically, when would one use \LetLtxMacro and/or why? Some speculation here:   Is there a possibility it would pass 'undetected' through your hand, or is it certain death?  Can you conclude it to be vital, or only loose your hand?  Would it simply make a small cylindrical hole through your hand, or is there some sort of explosion-effect?  Assume your hand has a cross section of 50cm², and a thickness of 2cm, how much of the beam's energy would be transferred to your hand?