docs: tweak docs index page + README

README.md

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 <img src="https://us-central1-trackgit-analytics.cloudfunctions.net/token/ping/lsudelfvcxb7f1xm6i4l" alt="trackgit-views" />
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 [![PyPI version](https://img.shields.io/pypi/v/continuedfractions?logo=python&color=41bb13)](https://pypi.org/project/continuedfractions)
-[![Downloads](https://static.pepy.tech/badge/continuedfractions/week)](https://pepy.tech/project/continuedfractions)
+[![Downloads](https://static.pepy.tech/badge/continuedfractions)](https://pepy.tech/project/continuedfractions)
 
 </div>
 
 # continuedfractions
 
 A simple extension of the Python [`fractions`](https://docs.python.org/3/library/fractions.html) standard library for working with [continued fractions](https://en.wikipedia.org/wiki/Continued_fraction) as Python objects.
 
-The [PyPI package](https://pypi.org/project/continuedfractions/) is here. Only standard libraries are used, and the package can be installed on any **Linux**, **Mac OS** or **Windows** system supporting **Python 3.10**, **3.11**, or **3.12**.
+The [PyPI package](https://pypi.org/project/continuedfractions/) is updated as necessary with improvements, features and fixes. Only standard libraries are used, and the package can be installed on any **Linux**, **Mac OS** or **Windows** system supporting **Python 3.10**, **3.11**, or **3.12**.
 ```shell
 pip install continuedfractions
 ```
@@ -30,7 +30,7 @@ See the [project docs](https://continuedfractions.readthedocs.io/en/latest/) for
 
 The `continuedfractions` package is designed for users interested in:
 
-* working with (finite) continued fractions as Python objects, in an intuitive object-oriented way
+* learning about and working with (finite) continued fractions as Python objects, in an intuitive object-oriented way
 * exploring their key properties, such as elements/coefficients, convergents, semiconvergents, remainders, and others
 * operating on them as rationals and instances of the standard library [`fractions.Fraction`](https://docs.python.org/3/library/fractions.html#fractions.Fraction) class
 * making approximations of and experimental computations for irrational numbers

docs/index.rst

@@ -10,7 +10,7 @@ A simple extension of the Python :py:mod:`fractions` standard library for workin
 
 The package is designed for users interested in:
 
-- working with (finite) continued fractions as Python objects, in an intuitive object-oriented way
+- learning about and working with (finite) continued fractions as Python objects, in an intuitive object-oriented way
 - exploring their key properties, such as elements/coefficients, convergents, semiconvergents, remainders, and others
 - operating on them as rationals and instances of the standard library :py:class:`fractions.Fraction` class
 - making approximations of and experimental computations for irrational numbers