diff --git a/doc/source/overview.rst b/doc/source/overview.rst
index 31d4a66a..bbf183e8 100644
--- a/doc/source/overview.rst
+++ b/doc/source/overview.rst
@@ -19,26 +19,29 @@ At the moment, Arb contains:
   integer/floating-point and mixed-precision algorithms).
 
 * A module (fmprb) for real ball arithmetic, where a ball is
-  implemented as a pair of fmpr numbers.
+  implemented as a pair of fmpr numbers, and a corresponding module (fmpcb) for
+  complex numbers in rectangular form.
 
 * Functions for fast high-precision computation of some mathematical constants,
   based on ball arithmetic.
 
-* A module (fmprb_poly) for polynomials or power series over the real numbers,
-  implemented using balls as coefficients, with fast polynomial multiplication.
+* Modules (fmprb_poly, fmpcb_poly) for polynomials or power series over the
+  real and complex numbers, implemented using balls as coefficients,
+  with fast polynomial multiplication.
 
-* A rudimentary module (fmprb_mat) for matrices over the real numbers,
-  implemented using balls as coefficients.
+* Modules (fmprb_mat, fmpcb_mat) for matrices over the real and complex
+  numbers, implemented using balls as coefficients.
 
-Planned features include: transcendental functions and more extensive
-polynomial and matrix functionality, as well as support for complex numbers.
+Planned features include more transcendental functions and more extensive
+polynomial and matrix functionality, as well as further optimizations.
 
-Arb uses `MPIR <http://mpir.org>`_ and `FLINT <http://flintlib.org/>`_
+Arb uses `GMP <http://mpir.org>`_ / `MPIR <http://mpir.org>`_ and
+`FLINT <http://flintlib.org/>`_
 for the underlying integer arithmetic and other functions.
 The code conventions borrow from FLINT, and the project might get
 merged back into FLINT when the code stabilizes in the future.
-Arb also uses `MPFR <http://mpfr.org/>`_, mainly for testing purposes
-and fallback code.
+Arb also uses `MPFR <http://mpfr.org/>`_ for testing purposes
+and for evaluation of some functions.
 
 The current version of Arb implements most of its floating-point arithmetic
 naively using high-level FLINT types. The speed at low precision is far from
diff --git a/doc/source/setup.rst b/doc/source/setup.rst
index 818cd961..9c2380a3 100644
--- a/doc/source/setup.rst
+++ b/doc/source/setup.rst
@@ -8,7 +8,7 @@ Arb has the following dependencies:
 * FLINT (http://www.flintlib.org)
 
 If MPIR is used instead of GMP, it must be compiled with
-the :code:`--enable-gmpcompat` option.
+the ``--enable-gmpcompat`` option.
 
 Currently a source checkout of FLINT from
 https://github.com/fredrik-johansson/flint2 is required.
@@ -21,9 +21,9 @@ To compile, test and install Arb from source, do::
     make install
 
 If GMP/MPIR, MPFR or FLINT is installed in some other location than
-the default path /usr/local, pass the
-flag :code:`--with-gmp=... --with-mpfr=... or --with-flint=...` with
-the correct path to configure (type :code:`./configure --help` to show
+the default path ``/usr/local``, pass
+``--with-gmp=...``, ``--with-mpfr=...`` or ``--with-flint=...`` with
+the correct path to configure (type ``./configure --help`` to show
 more options).
 
 Here is a simple sample program to get started using Arb: