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Book covering differential geometry and topology for physics I'm interested in learning how to use geometry and topology in physics. Could anyone recommend a book that covers these topics, preferably with some proofs, physical applications, and emphasis on geometrical intuition? I've taken an introductory course in real analysis but no other higher math. Replacing the core of a solenoid to increase the pulling force How to determine the size of a package while using apt prior to downloading? When using apt-get install &lt;package_name&gt;, and there are dependencies that need to be downloaded, the terminal outputs names of additional packages and total size, and asks for confirmation before downloading.   But, when dependencies are satisfied and nothing but the named package needs to be downloaded there is no size output and no confirmation.  When using Synaptic, I can see the total size that new packages that will use after installation but no way to see the size that needs to be downloaded, except to go from package to package and use properties to see the compressed size.  I would like to know if there is a way to see the size of a package(s) in terminal and Synaptic prior to downloading and installing it/them? Virus added .mbed File Extension The files on my PC's 2 drives have been altered by a virus; all files on both drives now have an extra extension of ".mbed"  Here you have a screenshot to get my point:   So what is the shortcut way for me to correct all these file extensions? I am not asking for a solution to speed it up, i simply want to know how long it should take!  I would also like a way to speed it up but not something technical, im new to Blender! Finding files by only knowing extension? I'm somewhat disorganized in my file saving habits, so I wind up using the Search function in Windows Explorer more often than one should. I was wondering, is it possible to have Windows find all files of a certain extension ( like, say for example all .rar files) if it is, how? TeXShop and Mac preview crashing when opening latex/beamer built pdfs After updating to Sierra 10.12.4 last week, TeXShop crashes:   when opening an existing .tex document that has a pdf associated to it immediately after compiling a new document, i.e. as soon as a pdf is created.   Furthermore, preview crashes opening almost any pdf that has been created with TeXShop. There is virtually nothing on the internet about it, and the only solution seems to be a complete reinstall of MacOSX (so as to reinstall the supposedly broken preview), which I'd like to avoid if at all possible.  Someone else has described a similar issue, but has not received any responses ().  I would be very grateful for some help, as I can neither produce work, nor look at any at the moment. Many thanks! I'm travelling to country X. I want to install an application which isn't available in my country, but is available in country X; but I prefer to download and install it in advance, while the data connection is still cheap.  Unfortunately, the Play Stores does not allow me to install this app. Is there any way to circumvent this limitation? Current code is:  \begin{enumerate}[label=LEVEL \arabic{*},leftmargin=*]     \item Description of Level 1 \quad L1 \\ \emph{more text}     \item Description of Level 2 \quad L2 \\ \emph{more text}  \end{enumerate}   but the \quad does not align L1 and L2 uniformly vertically. I want to replace \quad with a tab but the tabbing environment does not allow mixing with an enumerate! Group With an Endomorphism That is "Almost" Abelian is Abelian. Suppose a finite group has the property that for every $x, y$, it follows that   \begin{equation*} (xy)^3 = x^3 y^3. \end{equation*}  How do you prove that it is abelian?    Edit: I recall that the correct exercise needed in addition that the order of the group is not divisible by 3. For abbreviations - both acronyms and initialisms - where the last word in the abbreviation is the noun, I'm accustomed to adding an 's' with no apostrophe (e.g. ATMs), as described in the answer to this question:   But how do you pluralize abbreviations where the noun is not the last word? E.g. 'Point of Presence' (POP)  I can see how 'POPs' could read 'Point of Presences', when the intention is 'Points of Presence.' Which languages was Gandalf proficient in? Stack Exchange app iPhone X optimization The Stack Exchange app doesn’t look very good on Apple’s brand new flagship phone yet.    Also the app can’t identify the device model either. (Says Unknown (iPhone 10,3))   App Version: 1.6.6.2 Device: iPhone X (iPhone10,3) OS Version: Version 11.1 (Build 15B93) How to get rid of the smell from the fridge? How did the Tesseract come to Earth from Asgard? The review system suggested something was probably spam, what should I do when I see this? While reviewing suggested edits and first posts by new users today, the review system did something new - an alert appeared that suggested that what I was reviewing was probably spam, and prompted me to take a careful look at it.  Should I be doing anything differently than I otherwise do while reviewing when I see this? Additionally, are my actions contributing to helping the spam prevention systems learn? If I wave around a bar magnet, the magnetic field in the space around it changes. Is this enough to go through the whole speed of light derivation implying that the motion creates an electromagnetic wave? If so how do I determine the wavelength and direction of the resulting wave? Entering the Schengen area 12 days before my visa expires I have a Vietnamese passport. I'm planning to visit Vietnam on July 7th and be back in the Czech Republic (in Schengen area) on August 29th. My visa is a multiple-entry, long-term, D type visa (for study purposes) and the expiration date is September 10th. I am afraid that the boarding officer will not allow me to enter EU since the arrival is so close to the expiration date.   Is it OK for me to enter Schengen on August 29th when I have only 12 days left until visa expiration? If $m$ divides $n$, find a free resolution of $\mathbb{Z}/m$ as a $\mathbb{Z}/n$-module. If $m$ divides $n$, find a free resolution of $\mathbb{Z}/m$ as a $\mathbb{Z}/n$-module.   I have tried this one and got $0 \leftarrow \mathbb{Z}/m \leftarrow \mathbb{Z}/n \leftarrow \mathbb{Z}/n$.  The map $\mathbb{Z}/n \to \mathbb{Z}/n$ is multiplication by $m$, but I couldn't go further. Please help me. Writing a list to a file with Python