Develop Reference

Updating a specific module with Conda removes numerous packages

I have recently started using the Anaconda Python distribution as it offers a lot of Data Analysis libraries out of the box. And using conda to create environments and install packages is also a breeze. But I have faced some serious issues when I want to update Python itself or any other module, I am informed beforehand that a LOT of my existing libraries will be removed.
For example, this is what I get when I use conda update [package_name]
$ conda update pandas
Collecting package metadata (current_repodata.json): ...working... done
Solving environment: ...working... done
## Package Plan ##
environment location: C:\Users\User\Anaconda3
added / updated specs:
- matplotlib
The following packages will be REMOVED:
[Almost half of my existing packages]
The following packages will be UPDATED:
[Some packages including my desired library, in this case, pandas]
I have searched the web on how to update packages and Python using conda and almost everywhere I saw that conda update [package name] was suggested. But why doesn't it work for me? I mean it will work but at the expense of tons of important libraries that I need.
So I have tried using the Anaconda Navigator to update the desired libraries (like matplotlib and pandas) hoping that the removal of existing libraries might be a command line issue on my computer. But I had seriously messed up my base (root) environment by updating pandas using Navigator. I didn't get any warnings that a lot of my modules will be removed so I thought I was doing fine. But after the update was done and I wrote some matplotlib code, I wasn't able to run it. I got errors that resembled something that indicated matplotlib was a "non-conda module". So I had to do conda install --revision n to go back to a state where I had my modules.
Right now, the only way for me to update any package or Python is to do this:
conda install pandas=[package_version_that_is_higher_than_mine]
But there's got to be a reason why I am facing this issue. Any help is absolutely appreciated.
EDIT: It turns out that the issue is mainly when I am trying to update using the base environment. When I use my other conda environments, the conda update [package_name] or conda update --all works fine.

Anaconda (as distinct from Conda) is designed to be used as a fixed set of package builds that have been vetted for compatibility (see "What's in a Name? Clarifying the Anaconda Metapackage). When you try to introduce new packages or package upgrades into that context, Conda can be rather unpredictable as to how it will solve that. I think it helps to keep in mind that commands like conda (install|upgrade|remove) mean requesting a distinct environment as a whole, and do not represent low-level commands to change a single package.
Conda does offer some options to get this more low-level behavior. One thing to try is the --freeze-installed flag, which would do what you're asking for. Recent versions of Conda do this by default in the first round of solves, and if it doesn't work then it attempts a full solve. There is also the more dangerous and brute force --no-dep flag, which won't do a solve at all and just install the package. The documentation for this literally says,
"This WILL lead to broken environments and inconsistent behavior. Use at your own risk."
Typically, if you want to use newer packages, it is better to create a new env (conda create -n my_env [pkg1 pkg2 ...]) because the fact is that you no longer want the Anaconda distribution, but instead a custom one with newer versions. My personal view is that most non-beginners should be using Miniconda and relegate their base env to only having conda, while being very liberal about creating envs for projects that have different package requirements. If you ever need a true Anaconda distribution, there's always the anaconda package for that.

Setting packages version using pip in a conda environment

Background:
I've been working on a server last year as a part of a student project. Now the server is being changed and unfortunately, a piece of code that I'd written is failed to pass a test. I don't have access to the server (because of security issues) but the good news is I have the scripts as well as the packages (and their version) which are installed on the new server. So I've decided to install all the packages on the server on my own local machine in an environment to imitate the server.
Problem:
Since not all the packages are available with conda (or channels need to be specified) I decided to make a conda environment and install all the packages with pip. Once I create the environment, conda installs a bunch of packages (like wheel,pip,ipython, certifi, etc.). But I need a certain (older) version of them. So I tried to override them by pip install -U <package_name>==<version>. But for some packages, I ended up with two different versions: one the default version installed by conda at the environment creation, and the other one with pip. And now, when I run my code, I'm not sure which version of those packages are being used. So I want to keep only one version: the one which is installed via pip!
Question(s):
How can I uninstall the packages that are installed with conda while keeping the pip ones? I used conda remove <package_name> with the expectation that only conda-installed packages would be wiped, yet that wasn't the case and both were gone for good!
How to override a conda-installed version via pip? I know conda is made to avoid this action to protect the environment from getting messy, but in my case it leads me to another question,
How in the first place, can I make the environment exactly the same as the server so that I don't deal with conda/pip packages any more?

What to do when pip & conda overlap?

I have a reasonable understanding of the difference between conda install & pip install; How pip installs python only packages & conda can install non-python binaries. However, there is some overlap between these two. Which leads me to ask:
What's the rule of thumb for whether to use conda or pip when both offer a package?
For example, TensorFlow is available on both repositories but from the tensorflow docs:
within Anaconda, we recommend installing TensorFlow with the
pip install command, not with the conda install command.
But, there are many other packages that overlap, like numpy, scipy etc.
However, this Stackoverflow answer suggests that conda install should be the default & pip should only be used if a package is unavailable from conda. Is this true even for TensorFlow or other python-only packages?

The Tensorflow maintainers actually publish the wheels of TensorFlow on PyPI that's why it's the recommended official way. The conda packages are created by the Anaconda staff and/or the community. That doesn't mean the conda packages are bad, it just means that the TensorFlow maintainers don't participate there (officially). Basically they are just saying: "If you have trouble installing it with pip the TensorFlow devs will try to help you. But we don't officially support the conda packages so if something goes wrong with the conda package you need to ask the conda-package maintainers. You've been warned."
In the more general case:
For Python-only packages you should always use conda install. There might be exceptions, for example if there is no conda-package at all or the conda package is out-of-date (and nobody is releasing a new version of that package) and you really need that package/version.
However it's different for packages that require compilation (e.g. C-Extensions, etc.). It's different because with pip you can install a package either:
as pre-compiled wheel
as package, compiled on your computer
While conda just provides the
compiled conda package
With compiled packages you have to be careful with binary compatibility. That means that a package is compiled against specific binary interface of another library - which could depend on the version of the libraries or the compilation flags, etc.
With conda you have to take the package as-is, which means that you have to assume that the packages are binary-compatible. If they aren't it won't work (segfault or linking errors or whatever).
If you use pip and can choose which wheel (if any) to install or compile it against the available libraries on your computer. That means it's less likely that you get a binary-incompatibility. That is (or was) a big problem if you install conda packages from different conda-channels. Because they might simply be binary-incompatible (e.g. conda-forge and the anaconda-channel have or had a few problems there).
However it should probably be decided on a case-by-case basis. I had no problems with my tensorflow conda environment where I installed all packages from the conda-forge channel, including tensorflow. However I have heard that several people had trouble with tensorflow in mixed conda-forge and anaconda channel environments. For example NumPy from the main channel and TensorFlow from the conda-forge channel might just be binary-incompatible.
My rule of thumb is:
If it's a Python-only package just install it (it's unlikely to make trouble). Use the conda package when possible but it won't make (much) trouble if you use pip. If you install it using pip it's not managed by conda so it's possible it won't be recognized as available dependency and you have to update it yourself, but that's about all the difference.
If it's a compiled package (like a C extension or a wrapper around a C library or such like) it becomes a bit more complicated. If you want to be "careful" or you have reason to expect problems:
Always create a new environment if you need to test compiled packages from different channels and/or conda and pip. It's easy to discard a messed up conda environment but it's a lot more annoying to fix an environment that you depend on.
If possible install all compiled packages using conda install from one and only one channel (if possible the main anaconda channel).
If not possible try to mix main anaconda channel compiled packages with conda packages from a different channel.
If that doesn't work try to mix conda compiled packages and pip compiled-packages (pre-compiled wheels or self-compiled installers).
You asked about why you cannot install packages from PyPI with conda. I don't know the exact reasons but pip mostly provides the package and you have to install it yourself. With conda you get an already compiled and installed package that is just "copied" without installation. That requires that the package is installed on different operating systems (Mac, Windows, Linux) and on platforms (32-bit, 64-bit), against different Python versions (2.7, 3.5, 3.6) and possibly against different NumPy versions. That means conda has to provide several packages instead of just one. That takes resources (space for the final installed packages and time for the installation) which probably aren't available or feasible. Aside from that there is probably no converter for a pypi package to a conda recipe aside from all the specifics you have to know about a package (compilation, installation) to make it work. That's just my guess though.

Is it ok to use the anaconda distribution for web development?

I started learning Python working on projects involving data and following tutorials advising to install the anaconda bundle, to take advantage of the other libraries coming with it.
So did I and I got confortable with it, I liked the way it manages environments.
During the last months, I have been teaching myself web development with django, flask, continuing to use the anaconda python. But most of the time I install the dependencies I need with pip install though (inside the conda environment).
I've never seen any tutorials or podcasts mentioning the conda environment as an option for developing web apps so I start to get worried. Is it for a good reason?
Everywhere its the combination of pip and virtualenv that prevail. And virtualenv isn't compatible with anaconda that has its own env management system.
My newbie question is: Will I run into problems later (dependencies management in production or deployment maybe?) using the anaconda distribution to develop my web apps?

Yes. Albeit, with a few caveats. First, I don't recommend using the big Anaconda distribution. I recommend installing Miniconda(3) (link).
To set up the second caveat, it's important to figure out what part of Conda you are talking about using. Conda is two things, that is, it is has both the functionality of virtualenv (an environment manager) and pip (a package manager).
So you certainly can use Conda in place of virtualenv (an environment manager) and still use pip within that Conda environment as your package manager. Actually this is my preference. Jake VanderPlas had a good comparison of virtualenv vs Conda as an environment manager. Conda has a more limited offering of packages thus I try to keep everything as one package manager (pip) within that environment. One problem I've found with virtualenv is you can't choose any particular flavor of Python, e.g. 2.7, 3.3, 3.6, etc like you can seemlessly install that version of Python within your environment with Conda.
Here's a list of command comparisons of Conda, virtualenv, and pip if that helps clear things up a bit on how you can utilize Conda and/or virtualenv and/or pip.

What is the difference between pip and conda?

I know pip is a package manager for python packages. However, I saw the installation on IPython's website use conda to install IPython.
Can I use pip to install IPython? Why should I use conda as another python package manager when I already have pip?
What is the difference between pip and conda?

Quoting from the Conda blog:
Having been involved in the python world for so long, we are all aware of pip, easy_install, and virtualenv, but these tools did not meet all of our specific requirements. The main problem is that they are focused around Python, neglecting non-Python library dependencies, such as HDF5, MKL, LLVM, etc., which do not have a setup.py in their source code and also do not install files into Python’s site-packages directory.
So Conda is a packaging tool and installer that aims to do more than what pip does; handle library dependencies outside of the Python packages as well as the Python packages themselves. Conda also creates a virtual environment, like virtualenv does.
As such, Conda should be compared to Buildout perhaps, another tool that lets you handle both Python and non-Python installation tasks.
Because Conda introduces a new packaging format, you cannot use pip and Conda interchangeably; pip cannot install the Conda package format. You can use the two tools side by side (by installing pip with conda install pip) but they do not interoperate either.
Since writing this answer, Anaconda has published a new page on Understanding Conda and Pip, which echoes this as well:
This highlights a key difference between conda and pip. Pip installs Python packages whereas conda installs packages which may contain software written in any language. For example, before using pip, a Python interpreter must be installed via a system package manager or by downloading and running an installer. Conda on the other hand can install Python packages as well as the Python interpreter directly.
and further on
Occasionally a package is needed which is not available as a conda package but is available on PyPI and can be installed with pip. In these cases, it makes sense to try to use both conda and pip.

Disclaimer: This answer describes the state of things as it was a decade ago, at that time pip did not support binary packages. Conda was specifically created to better support building and distributing binary packages, in particular data science libraries with C extensions. For reference, pip only gained widespread support for portable binary packages with wheels (pip 1.4 in 2013) and the manylinux1 specification (pip 8.1 in March 2016). See the more recent answer for more history.
Here is a short rundown:
pip
Python packages only.
Compiles everything from source. EDIT: pip now installs binary wheels, if they are available.
Blessed by the core Python community (i.e., Python 3.4+ includes code that automatically bootstraps pip).
conda
Python agnostic. The main focus of existing packages are for Python, and indeed Conda itself is written in Python, but you can also have Conda packages for C libraries, or R packages, or really anything.
Installs binaries. There is a tool called conda build that builds packages from source, but conda install itself installs things from already built Conda packages.
External. conda is an environment and package manager. It is included in the Anaconda Python distribution provided by Continuum Analytics (now called Anaconda, Inc.).
conda is an environment manager written in Python and is language-agnostic. conda environment management functions cover the functionality provided by venv, virtualenv, pipenv, pyenv, and other Python-specific package managers. You could use conda within an existing Python installation by pip installing it (though this is not recommended unless you have a good reason to use an existing installation). As of 2022, conda and pip are not fully aware of one another package management activities within a virtual environment, not are they interoperable for Python package management.
In both cases:
Written in Python
Open source (conda is BSD and pip is MIT)
Warning: While conda itself is open-source, the package repositories are hosted by Anaconda Inc and have restrictions around commercial usage.
The first two bullet points of conda are really what make it advantageous over pip for many packages. Since pip installs from source, it can be painful to install things with it if you are unable to compile the source code (this is especially true on Windows, but it can even be true on Linux if the packages have some difficult C or FORTRAN library dependencies). conda installs from binary, meaning that someone (e.g., Continuum) has already done the hard work of compiling the package, and so the installation is easy.
There are also some differences if you are interested in building your own packages. For instance, pip is built on top of setuptools, whereas conda uses its own format, which has some advantages (like being static, and again, Python agnostic).

The other answers give a fair description of the details, but I want to highlight some high-level points.
pip is a package manager that facilitates installation, upgrade, and uninstallation of python packages. It also works with virtual python environments.
conda is a package manager for any software (installation, upgrade and uninstallation). It also works with virtual system environments.
One of the goals with the design of conda is to facilitate package management for the entire software stack required by users, of which one or more python versions may only be a small part. This includes low-level libraries, such as linear algebra, compilers, such as mingw on Windows, editors, version control tools like Hg and Git, or whatever else requires distribution and management.
For version management, pip allows you to switch between and manage multiple python environments.
Conda allows you to switch between and manage multiple general purpose environments across which multiple other things can vary in version number, like C-libraries, or compilers, or test-suites, or database engines and so on.
Conda is not Windows-centric, but on Windows it is by far the superior solution currently available when complex scientific packages requiring compilation are required to be installed and managed.
I want to weep when I think of how much time I have lost trying to compile many of these packages via pip on Windows, or debug failed pip install sessions when compilation was required.
As a final point, Continuum Analytics also hosts (free) binstar.org (now called anaconda.org) to allow regular package developers to create their own custom (built!) software stacks that their package-users will be able to conda install from.

(2021 UPDATE)
TL;DR Use pip, it's the official package manager since Python 3.
pip
basics
pip is the default package manager for python
pip is built-in as of Python 3.0
Usage: python3 -m venv myenv; source myenv/bin/activate; python3 -m pip install requests
Packages are downloaded from pypi.org, the official public python repository
It can install precompiled binaries (wheels) when available, or source (tar/zip archive).
Compiled binaries are important because many packages are mixed Python/C/other with third-party dependencies and complex build chains. They MUST be distributed as binaries to be ready-to-use.
advanced
pip can actually install from any archive, wheel, or git/svn repo...
...that can be located on disk, or on a HTTP URL, or a personal pypi server.
pip install git+https://github.com/psf/requests.git#v2.25.0 for example (it can be useful for testing patches on a branch).
pip install https://download.pytorch.org/whl/cpu/torch-1.9.0%2Bcpu-cp39-cp39-linux_x86_64.whl (that wheel is Python 3.9 on Linux).
when installing from source, pip will automatically build the package. (it's not always possible, try building TensorFlow without the google build system :D)
binary wheels can be python-version specific and OS specific, see manylinux specification to maximize portability.
conda
You are NOT permitted to use Anaconda or packages from Anaconda repositories for commercial use, unless you acquire a license.
Conda is a third party package manager from conda.
It's popularized by anaconda, a Python distribution including most common data science libraries ready-to-use.
You will use conda when you use anaconda.
Packages are downloaded from the anaconda repo.
It only installs precompiled packages.
Conda has its own format of packages. It doesn't use wheels.
conda install to install a package.
conda build to build a package.
conda can build the python interpreter (and other C packages it depends on). That's how an interpreter is built and bundled for anaconda.
conda allows to install and upgrade the Python interpreter (pip does not).
advanced
Historically, the selling point of conda was to support building and installing binary packages, because pip did not support binary packages very well (until wheels and manylinux2010 spec).
Emphasis on building packages. Conda has extensive build settings and it stores extensive metadata, to work with dependencies and build chains.
Some projects use conda to initiate complex build systems and generate a wheel, that is published to pypi.org for pip.
easy_install/egg
For historical reference only. DO NOT USE
egg is an abandoned format of package, it was used up to mid 2010s and completely replaced by wheels.
an egg is a zip archive, it contains python source files and/or compiled libraries.
eggs are used with easy_install and the first releases of pip.
easy_install was yet another package manager, that preceded pip and conda. It was removed in setuptools v58.3 (year 2021).
it too caused a lot of confusion, just like pip vs conda :D
egg files are slow to load, poorly specified, and OS specific.
Each egg was setup in a separate directory, an import mypackage would have to look for mypackage.py in potentially hundreds of directories (how many libraries were installed?). That was slow and not friendly to the filesystem cache.
Historically, the above three tools were open-source and written in Python.
However the company behind conda updated their Terms of Service in 2020 to prohibit commercial usage, watch out!
Funfact: The only strictly-required dependency to build the Python interpreter is zlib (a zip library), because compression is necessary to load more packages. Eggs and wheels packages are zip files.
Why so many options?
A good question.
Let's delve into the history of Python and computers. =D
Pure python packages have always worked fine with any of these packagers. The troubles were with not-only-Python packages.
Most of the code in the world depends on C. That is true for the Python interpreter, that is written in C. That is true for numerous Python packages, that are python wrappers around C libraries or projects mixing python/C/C++ code.
Anything that involves SSL, compression, GUI (X11 and Windows subsystems), math libraries, GPU, CUDA, etc... is typically coupled with some C code.
This creates troubles to package and distribute Python libraries because it's not just Python code that can run anywhere. The library must be compiled, compilation requires compilers and system libraries and third party libraries, then once compiled, the generated binary code only works for the specific system and python version it was compiled on.
Originally, python could distribute pure-python libraries just fine, but there was little support for distributing binary libraries. In and around 2010 you'd get a lot of errors trying to use numpy or cassandra. It downloaded the source and failed to compile, because of missing dependencies. Or it downloaded a prebuilt package (maybe an egg at the time) and it crashed with a SEGFAULT when used, because it was built for another system. It was a nightmare.
This was resolved by pip and wheels from 2012 onward. Then wait many years for people to adopt the tools and for the tools to propagate to stable Linux distributions (many developers rely on /usr/bin/python). The issues with binary packages extended to the late 2010s.
For reference, that's why the first command to run is python3 -m venv myvenv && source myvenv/bin/activate && pip install --upgrade pip setuptools on antiquated systems, because the OS comes with an old python+pip from 5 years ago that's buggy and can't recognize the current package format.
Conda worked on their own solution in parallel. Anaconda was specifically meant to make data science libraries easy to use out-of-the-box (data science = C and C++ everywhere), hence they had to come up with a package manager specifically meant to address building and distributing binary packages, conda.
If you install any package with pip install xxx nowadays, it just works. That's the recommended way to install packages and it's built-in in current versions of Python.

Not to confuse you further,
but you can also use pip within your conda environment, which validates the general vs. python specific managers comments above.
conda install -n testenv pip
source activate testenv
pip <pip command>
you can also add pip to default packages of any environment so it is present each time so you don't have to follow the above snippet.

Quote from Conda for Data Science article onto Continuum's website:
Conda vs pip
Python programmers are probably familiar with pip to download packages from PyPI and manage their requirements. Although, both conda and pip are package managers, they are very different:
Pip is specific for Python packages and conda is language-agnostic, which means we can use conda to manage packages from any language
Pip compiles from source and conda installs binaries, removing the burden of compilation
Conda creates language-agnostic environments natively whereas pip relies on virtualenv to manage only Python environments
Though it is recommended to always use conda packages, conda also includes pip, so you don’t have to choose between the two. For example, to install a python package that does not have a conda package, but is available through pip, just run, for example:
conda install pip
pip install gensim

pip is a package manager.
conda is both a package manager and an environment manager.
Detail:
Dependency check
Pip and conda also differ in how dependency relationships within an environment are fulfilled. When installing packages, pip installs dependencies in a recursive, serial loop. No effort is made to ensure that the dependencies of all packages are fulfilled simultaneously. This can lead to environments that are broken in subtle ways, if packages installed earlier in the order have incompatible dependency versions relative to packages installed later in the order. In contrast, conda uses a satisfiability (SAT) solver to verify that all requirements of all packages installed in an environment are met. This check can take extra time but helps prevent the creation of broken environments. As long as package metadata about dependencies is correct, conda will predictably produce working environments.
References
Understanding Conda and Pip

Quoting from Conda: Myths and Misconceptions (a comprehensive description):
...
Myth #3: Conda and pip are direct competitors
Reality: Conda and pip serve different purposes, and only directly compete in a small subset of tasks: namely installing Python packages in isolated environments.
Pip, which stands for Pip Installs Packages, is Python's officially-sanctioned package manager, and is most commonly used to install packages published on the Python Package Index (PyPI). Both pip and PyPI are governed and supported by the Python Packaging Authority (PyPA).
In short, pip is a general-purpose manager for Python packages; conda is a language-agnostic cross-platform environment manager. For the user, the most salient distinction is probably this: pip installs python packages within any environment; conda installs any package within conda environments. If all you are doing is installing Python packages within an isolated environment, conda and pip+virtualenv are mostly interchangeable, modulo some difference in dependency handling and package availability. By isolated environment I mean a conda-env or virtualenv, in which you can install packages without modifying your system Python installation.
Even setting aside Myth #2, if we focus on just installation of Python packages, conda and pip serve different audiences and different purposes. If you want to, say, manage Python packages within an existing system Python installation, conda can't help you: by design, it can only install packages within conda environments. If you want to, say, work with the many Python packages which rely on external dependencies (NumPy, SciPy, and Matplotlib are common examples), while tracking those dependencies in a meaningful way, pip can't help you: by design, it manages Python packages and only Python packages.
Conda and pip are not competitors, but rather tools focused on different groups of users and patterns of use.

For WINDOWS users
"standard" packaging tools situation is improving recently:
on pypi itself, there are now 48% of wheel packages as of sept. 11th 2015 (up from 38% in may 2015 , 24% in sept. 2014),
the wheel format is now supported out-of-the-box per latest python 2.7.9,
"standard"+"tweaks" packaging tools situation is improving also:
you can find nearly all scientific packages on wheel format at http://www.lfd.uci.edu/~gohlke/pythonlibs,
the mingwpy project may bring one day a 'compilation' package to windows users, allowing to install everything from source when needed.
"Conda" packaging remains better for the market it serves, and highlights areas where the "standard" should improve.
(also, the dependency specification multiple-effort, in standard wheel system and in conda system, or buildout, is not very pythonic, it would be nice if all these packaging 'core' techniques could converge, via a sort of PEP)

(2022 UPDATE) This answer was derived from the one above by #user5994461
You can use pip for package management. Pip is the official built-in package manager for Python.org since Python 3.
pip is not a virtual environment manager.
pip
basics
pip is the default package manager for python
pip is built-in as of Python 3.0
Usage: python3 -m venv myenv; source myenv/bin/activate; python3 -m pip install requests
Packages are downloaded from pypi.org, the official public python repository
It can install precompiled binaries (wheels) when available, or source (tar/zip archive).
Compiled binaries are important because many packages are mixed Python/C/other with third-party dependencies and complex build chains. They MUST be distributed as binaries to be ready-to-use.
advanced
pip can actually install from any archive, wheel, or git/svn repo...
...that can be located on disk, or on a HTTP URL, or a personal pypi server.
pip install git+https://github.com/psf/requests.git#v2.25.0 for example (it can be useful for testing patches on a branch).
pip install https://download.pytorch.org/whl/cpu/torch-1.9.0%2Bcpu-cp39-cp39-linux_x86_64.whl (that wheel is Python 3.9 on Linux).
when installing from source, pip will automatically build the package. (it's not always possible, try building TensorFlow without the google build system :D)
binary wheels can be python-version specific and OS specific, see manylinux specification to maximize portability.
conda
conda is an open source environment manager AND package manager maintained by the open source community. It is separate from Anaconda, Inc. and does not require a commercial license to use.
conda is also bundled into Anaconda Navigator, a popular commercial Python distribution from Anaconda, Inc. Anaconda) that includes most common data science and Python developer libraries ready-to-use.
You will use conda when you use Anaconda Navigator GUI.
Packages may be downloaded from conda-forge, anaconda repo4, and other public and private conda package "channels" (aka repos).
It only installs precompiled packages.
conda has its own package format. It doesn't use wheels.
conda install to install a package.
conda build to build a package.
conda can build the python interpreter (and other C packages it depends on). That's how an interpreter is built and bundled for Anaconda Navigator.
conda allows to install and upgrade the Python interpreter (pip does not).
advanced
Historically, one selling point of conda was to support building and installing binary packages, because pip did not support binary packages very well (until wheels and manylinux2010 spec).
Emphasis on building packages. conda has extensive build settings and it stores extensive metadata, to work with dependencies and build chains.
Some projects use conda to initiate complex build systems and generate a wheel, that is published to pypi.org for pip.
conda emphasizes building and managing virtual environments. conda is by design a programming language-agnostic virtual environment manager. conda can install and manage other package managers such as npm, pip, and other language package managers.
Can I use Anaconda Navigator packages for commercial use?
The new language states that use by individual hobbyists, students, universities, non-profit organizations, or businesses with less than 200 employees is allowed, and all other usage is considered commercial and thus requires a business relationship with Anaconda. (as of Oct 28, 2020)
IF you are a large developer organization, i.e., greater than 200 employees, you are NOT permitted to use Anaconda or packages from Anaconda repository for commercial use, unless you acquire a license.
Pulling and using (properly open-sourced) packages from conda-forge repository do not require commercial licenses from Anaconda, Inc. Developers are free to build their own conda packages using the packaging tools provided in the conda-forge infrastructure.
easy_install/egg
For historical reference only. DO NOT USE
egg is an abandoned format of package, it was used up to mid 2010s and completely replaced by wheels.
an egg is a zip archive, it contains python source files and/or compiled libraries.
eggs are used with easy_install and the first releases of pip.
easy_install was yet another package manager, that preceded pip and conda. It was removed in setuptools v58.3 (year 2021).
it too caused a lot of confusion, just like pip vs conda :D
egg files are slow to load, poorly specified, and OS specific.
Each egg was setup in a separate directory, an import mypackage would have to look for mypackage.py in potentially hundreds of directories (how many libraries were installed?). That was slow and not friendly to the filesystem cache.
Funfact: The only strictly-required dependency to build the Python interpreter is zlib (a zip library), because compression is necessary to load more packages. Eggs and wheels packages are zip files.
Why so many options?
A good question.
Let's delve into the history of Python and computers. =D
Pure python packages have always worked fine with any of these packagers. The troubles were with not-only-Python packages.
Most of the code in the world depends on C. That is true for the Python interpreter, that is written in C. That is true for numerous Python packages, that are python wrappers around C libraries or projects mixing python/C/C++ code.
Anything that involves SSL, compression, GUI (X11 and Windows subsystems), math libraries, GPU, CUDA, etc... is typically coupled with some C code.
This creates troubles to package and distribute Python libraries because it's not just Python code that can run anywhere. The library must be compiled, compilation requires compilers and system libraries and third party libraries, then once compiled, the generated binary code only works for the specific system and python version it was compiled on.
Originally, python could distribute pure-python libraries just fine, but there was little support for distributing binary libraries. In and around 2010 you'd get a lot of errors trying to use numpy or cassandra. It downloaded the source and failed to compile, because of missing dependencies. Or it downloaded a prebuilt package (maybe an egg at the time) and it crashed with a SEGFAULT when used, because it was built for another system. It was a nightmare.
This was resolved by pip and wheels from 2012 onward. Then wait many years for people to adopt the tools and for the tools to propagate to stable Linux distributions (many developers rely on /usr/bin/python). The issues with binary packages extended to the late 2010s.
For reference, that's why the first command to run is python3 -m venv myvenv && source myvenv/bin/activate && pip install --upgrade pip setuptools on antiquated systems, because the OS comes with an old python+pip from 5 years ago that's buggy and can't recognize the current package format.
Continuum Analytics (later renamed Anaconda, Inc.) worked on their own solution (released as Anaconda Navigator) in parallel. Anaconda Navigator was specifically meant to make data science libraries easy to use out-of-the-box (data science = C and C++ everywhere), hence they came up with a package manager specifically meant to address building and distributing binary packages, and built it into the environment manager, conda.
If you install any package with pip install xxx nowadays, it usually just works. pip is a recommended way to install packages that is built into current versions of Python.

To answer the original question,
For installing packages, PIP and Conda are different ways to accomplish the same thing. Both are standard applications to install packages. The main difference is the source of the package files.
PIP/PyPI will have more "experimental" packages, or newer, less common, versions of packages
Conda will typically have more well established packages or versions
An important cautionary side note: If you use both sources (pip and conda) to install packages in the same environment, this may cause issues later.
Recreate the environment will be more difficult
Fix package incompatibilities becomes more complicated
Best practice is to select one application, PIP or Conda, to install packages, and use that application to install any packages you need.
However, there are many exceptions or reasons to still use pip from within a conda environment, and vice versa.
For example:
When there are packages you need that only exist on one, and the
other doesn't have them.
You need a certain version that is only available in one environment

Can I use pip to install iPython?
Sure, both (first approach on page)
pip install ipython
and (third approach, second is conda)
You can manually download IPython from GitHub or PyPI. To install one
of these versions, unpack it and run the following from the top-level
source directory using the Terminal:
pip install .
are officially recommended ways to install.
Why should I use conda as another python package manager when I already have pip?
As said here:
If you need a specific package, maybe only for one project, or if you need to share the project with someone else, conda seems more appropriate.
Conda surpasses pip in (YMMV)
projects that use non-python tools
sharing with colleagues
switching between versions
switching between projects with different library versions
What is the difference between pip and conda?
That is extensively answered by everyone else.

pip is for Python only
conda is only for Anaconda + other scientific packages like R dependencies etc. NOT everyone needs Anaconda that already comes with Python. Anaconda is mostly for those who do Machine learning/deep learning etc. Casual Python dev won't run Anaconda on his laptop.

I may have found one further difference of a minor nature. I have my python environments under /usr rather than /home or whatever. In order to install to it, I would have to use sudo install pip. For me, the undesired side effect of sudo install pip was slightly different than what are widely reported elsewhere: after doing so, I had to run python with sudo in order to import any of the sudo-installed packages. I gave up on that and eventually found I could use sudo conda to install packages to an environment under /usr which then imported normally without needing sudo permission for python. I even used sudo conda to fix a broken pip rather than using sudo pip uninstall pip or sudo pip --upgrade install pip.