Necromancing.
Providing an actual answer.
What is the difference between .Net Core and Mono?
.NET Core now officially is the future of .NET. It started for most part with a re-write of the ASP.NET MVC framework and console applications, which of course includes server applications. (Since it's Turing-complete and supports interop with C dlls, you could, if you absolutely wanted to, also write your own desktop applications with it, for example through 3rd-party libraries like Avalonia, which were a bit very basic at the time I first wrote this, which meant you were pretty much limited to web or server stuff.) Over time, many APIs have been added to .NET Core, so much so that after version 3.1, .NET Core will jump to version 5.0, be known as .NET 5.0 without the "Core", and that then will be the future of the .NET Framework. What used to be the full .NET Framework will linger around in maintenance mode as Full .NET Framework 4.8.x for a few decades, until it will die (maybe there are still going to be some upgrades, but I doubt it). In other words, .NET Core is the future of .NET, and Full .NET Framework will go the way of the Dodo/Silverlight/WindowsPhone.
The main point of .NET Core, apart from multi-platform support, is to improve performance, and to enable "native compilation"/self-contained-deployment (so you don't need .NET framework/VM installed on the target machine.
On the one hand, this means docker.io support on Linux, and on the other, self-contained deployment is useful in "cloud-computing", since then you can just use whatever version of the dotnet-CORE framework you like, and you don't have to worry about which version(s) of the .NET framework the sysadmin has actually installed.
While the .NET Core runtime supports multiple operating systems and processors, the SDK is a different story. And while the SDK supports multiple OS, ARM support for the SDK is/was still work in progress. .NET Core is supported by Microsoft. Dotnet-Core did not come with WinForms or WPF or anything like that.
- As of version 3.0, WinForms and WPF is also supported by .NET Core, but only on Windows, and only by C#. Not by VB.NET (VB.NET support planned for v5 in 2020). And there is no Forms Designer in .NET Core: it's being shipped with a Visual Studio update later, at an unspecified time.
- WebForms are still not supported by .NET Core, and there are no plans to support them, ever (Blazor is the new kid in town for that).
- .NET Core also comes with System.Runtime, which replaces mscorelib.
- Oftentimes, .NET Core is mixed up with NetStandard, which is a bit of a wrapper around System.Runtime/mscorelib (and some others), that allows you to write libraries that target .NET Core, Full .NET Framework and Xamarin (iOS/Android), all at the same time.
- the .NET Core SDK does not/did not work on ARM, at least not last time I checked.
"The Mono Project" is much older than .NET Core.
Mono is Spanish and means Monkey, and as a side-remark, the name has nothing to do with mononucleosis (hint: you could get a list of staff under http://primates.ximian.com/).
Mono was started in 2005 by Miguel de Icaza (the guy that started GNOME - and a few others) as an implementation of the .NET Framework for Linux (Ximian/SuSe/Novell). Mono includes Web-Forms, Winforms, MVC, Olive, and an IDE called MonoDevelop (also knows as Xamarin Studio or Visual Studio Mac). Basically the equivalent of (OpenJDK) JVM and (OpenJDK) JDK/JRE (as opposed to SUN/Oracle JDK). You can use it to get ASP.NET-WebForms + WinForms + ASP.NET-MVC applications to work on Linux.
Mono is supported by Xamarin (the new company name of what used to be Ximian, when they focused on the Mobile market, instead of the Linux market), and not by Microsoft.
(since Xamarin was bought by Microsoft, that's technically [but not culturally] Microsoft.)
You will usually get your C# stuff to compile on mono, but not the VB.NET stuff.
Mono misses some advanced features, like WSE/WCF and WebParts.
Many of the Mono implementations are incomplete (e.g. throw NotImplementedException in ECDSA encryption), buggy (e.g. ODBC/ADO.NET with Firebird), behave differently than on .NET (for example XML-serialization) or otherwise unstable (ASP.NET MVC) and unacceptably slow (Regex). On the upside, the Mono toolchain also works on ARM.
As far as .NET Core is concerned, when they say cross-platform, don't expect that cross-platform means that you could actually just apt-get install .NET Core on ARM-Linux, like you can with ElasticSearch. You'll have to compile the entire framework from source.
That is, if you have that space (e.g. on a Chromebook, which has a 16 to 32 GB total HD).
It also used to have issues of incompatibility with OpenSSL 1.1 and libcurl.
Those have been rectified in the latest version of .NET Core Version 2.2.
So much for cross-platform.
I found a statement on the official site that said, "Code written for
it is also portable across application stacks, such as Mono".
As long as that code doesn't rely on WinAPI-calls, Windows-dll-pinvokes, COM-Components, a case-insensitive file system, the default-system-encoding (codepage) and doesn't have directory separator issues, that's correct. However, .NET Core code runs on .NET Core, and not on Mono. So mixing the two will be difficult. And since Mono is quite unstable and slow (for web applications), I wouldn't recommend it anyway. Try image-processing on .NET core, e.g. WebP or moving GIF or multipage-tiff or writing text on an image, you'll be nastily surprised.
Note:
As of .NET Core 2.0, there is System.Drawing.Common (NuGet), which
contains most of the functionality of System.Drawing. It should be
more or less feature-complete in .NET-Core 2.1. However,
System.Drawing.Common uses GDI+, and therefore won't work on Azure
(System.Drawing libraries are available in Azure Cloud Service
[basically just a VM], but not in Azure Web App [basically shared
hosting?])
So far, System.Drawing.Common works fine on Linux/Mac, but has issues on iOS/Android - if it works at all, there.
Prior to .NET Core 2.0, that is to say sometime mid-February 2017, you could use SkiaSharp for imaging (example) (you still can).
Post .net-core 2.0, you'll notice that SixLabors ImageSharp is the way to go, since System.Drawing is not necessarely secure, and has a lot of potential or real memory leaks, which is why you shouldn't use GDI in web-applications; Note that SkiaSharp is a lot faster than ImageSharp, because it uses native-libraries (which can also be a drawback). Also, note that while GDI+ works on Linux & Mac, that doesn't mean it works on iOS/Android.
Code not written for .NET (non-Core) is not portable to .NET Core.
Meaning, if you want a non-GPL C# library like PDFSharp to create PDF-documents (very commonplace), you're out of luck (at the moment) (not anymore). Never mind ReportViewer control, which uses Windows-pInvokes (to encrypt, create mcdf documents via COM, and to get font, character, kerning, font embedding information, measure strings and do line-breaking, and for actually drawing tiffs of acceptable quality), and doesn't even run on Mono on Linux
(I'm working on that).
Also, code written in .NET Core is not portable to Mono, because Mono lacks the .NET Core runtime libraries (so far).
My goal is to use C#, LINQ, EF7, visual studio to create a website
that can be ran/hosted in linux.
EF in any version that I tried so far was so goddamn slow (even on such simple things like one table with one left-join), I wouldn't recommend it ever - not on Windows either.
I would particularly not recommend EF if you have a database with unique-constrains, or varbinary/filestream/hierarchyid columns. (Not for schema-update either.)
And also not in a situation where DB-performance is critical (say 10+ to 100+ concurrent users).
Also, running a website/web-application on Linux will sooner or later mean you'll have to debug it.
There is no debugging support for .NET Core on Linux. (Not anymore, but requires JetBrains Rider.)
MonoDevelop does not (yet) support debugging .NET Core projects.
If you have problems, you're on your own. You'll have to use extensive logging.
Be careful, be advised extensive logging will fill your disk in no time, particularly if your program enters an infinite loop or recursion.
This is especially dangerous if your web-app runs as root, because log-in requires logfile-space - if there's no free space left, you won't be able to login anymore.
(Normally, about 5% of diskspace is reserved for user root [aka administrator on Windows], so at least the administrator can still log in if the disk is almost full. But if your applications run as root, that restriction does not apply for their disk usage, and so their logfiles can use 100% of the remaining free space, so not even the administrator can log in any more.)
It's therefore better not to encrypt that disk, that is, if you value your data/system.
Someone told me that he wanted it to be "in Mono", but I don't know
what that means.
It either means he doesn't want to use .NET Core, or he just wants to use C# on Linux/Mac. My guess is he just wants to use C# for a Web-App on Linux. .NET Core is the way to go for that, if you absolutely want to do it in C#. Don't go with "Mono proper"; on the surface, it would seem to work at first - but believe me you will regret it because Mono's ASP.NET MVC isn't stable when your server runs long-term (longer than 1 day) - you have now been warned. See also the "did not complete" references when measuring Mono performance on the techempower benchmarks.
I know I want to use the .Net Core 1.0 framework with the technologies
I listed above. He also said he wanted to use "fast cgi". I don't know
what that means either.
It means he wants to use a high-performance full-featured WebServer like nginx (Engine-X), possibly Apache.
Then he can run mono/dotnetCore with virtual name based hosting (multiple domain names on the same IP) and/or load-