diff --git a/docs/cli.rst b/docs/cli.rst
index ad752a6..7bc7a3b 100644
--- a/docs/cli.rst
+++ b/docs/cli.rst
@@ -975,7 +975,7 @@ Various built-in recipe functions are available for common operations. These are
 
 These recipes can be used in the code passed to ``sqlite-utils convert`` like this::
 
-    $ sqlite-utils convert my.db mytable mycolumn \\
+    $ sqlite-utils convert my.db mytable mycolumn \
       'r.jsonsplit(value, delimiter=":")'
 
 .. _cli_convert_output:
diff --git a/docs/python-api.rst b/docs/python-api.rst
index 7f3cdd5..7f490ab 100644
--- a/docs/python-api.rst
+++ b/docs/python-api.rst
@@ -702,7 +702,7 @@ You can delete all records in a table that match a specific WHERE statement usin
 
     >>> db = sqlite_utils.Database("dogs.db")
     >>> # Delete every dog with age less than 3
-    >>> db["dogs"].delete_where("age < ?", [3]):
+    >>> db["dogs"].delete_where("age < ?", [3])
 
 Calling ``table.delete_where()`` with no other arguments will delete every row in the table.
 
@@ -736,6 +736,45 @@ An ``upsert_all()`` method is also available, which behaves like ``insert_all()`
 .. note::
     ``.upsert()`` and ``.upsert_all()`` in sqlite-utils 1.x worked like ``.insert(..., replace=True)`` and ``.insert_all(..., replace=True)`` do in 2.x. See `issue #66 <https://github.com/simonw/sqlite-utils/issues/66>`__ for details of this change.
 
+.. _python_api_convert:
+
+Converting data in columns
+==========================
+
+The ``table.convert(...)`` method can be used to apply a conversion function to the values in a column, either to update that column or to populate new columns. It is the Python library equivalent of the :ref:`sqlite-utils convert <cli_convert>` command.
+
+This feature works by registering a custom SQLite function that applies a Python transformation, then running a SQL query equivalent to ``UPDATE table SET column = convert_value(column);``
+
+To transform a specific column to uppercase, you would use the following:
+
+.. code-block:: python
+
+    db["dogs"].convert("name", lambda value: value.upper())
+
+You can pass a list of columns, in which case the transformation will be applied to each one:
+
+.. code-block:: python
+
+    db["dogs"].convert(["name", "twitter"], lambda value: value.upper())
+
+To save the output to of the transformation to a different column, use the ``output=`` parameter:
+
+.. code-block:: python
+
+    db["dogs"].convert("name", lambda value: value.upper(), output="name_upper")
+
+This will add the new column, if it does not already exist. You can pass ``output_type=int`` or some other type to control the type of the new column - otherwise it will default to text.
+
+If you want to drop the original column after saving the results in a separate output column, pass ``drop=True``.
+
+You can create multiple new columns from a single input column by passing ``multi=True`` and a conversion function that returns a Python dictionary. This example creates new ``upper`` and ``lower`` columns populated from the single ``title`` column:
+
+.. code-block:: python
+
+    table.convert(
+        "title", lambda v: {"upper": v.upper(), "lower": v.lower()}, multi=True
+    )
+
 .. _python_api_lookup_tables:
 
 Working with lookup tables
diff --git a/sqlite_utils/db.py b/sqlite_utils/db.py
index 59c6998..eb714e5 100644
--- a/sqlite_utils/db.py
+++ b/sqlite_utils/db.py
@@ -1729,26 +1729,26 @@ class Table(Queryable):
                 columns[0], fn, drop=drop, show_progress=show_progress
             )
 
-        todo_count = self.count * len(columns)
-
         if output is not None:
+            assert len(columns) == 1, "output= can only be used with a single column"
             if output not in self.columns_dict:
                 self.add_column(output, output_type or "text")
 
+        todo_count = self.count * len(columns)
         with progressbar(length=todo_count, silent=not show_progress) as bar:
 
-            def transform_value(v):
+            def convert_value(v):
                 bar.update(1)
                 if not v:
                     return v
                 return fn(v)
 
-            self.db.register_function(transform_value)
+            self.db.register_function(convert_value)
             sql = "update [{table}] set {sets};".format(
                 table=self.name,
                 sets=", ".join(
                     [
-                        "[{output_column}] = transform_value([{column}])".format(
+                        "[{output_column}] = convert_value([{column}])".format(
                             output_column=output or column, column=column
                         )
                         for column in columns
diff --git a/tests/test_convert.py b/tests/test_convert.py
index 15e8026..34e98f1 100644
--- a/tests/test_convert.py
+++ b/tests/test_convert.py
@@ -38,6 +38,13 @@ def test_convert_output(fresh_db, drop, expected):
     assert list(table.rows) == [expected]
 
 
+def test_convert_output_multiple_column_error(fresh_db):
+    table = fresh_db["table"]
+    with pytest.raises(AssertionError) as excinfo:
+        table.convert(["title", "other"], lambda v: v, output="out")
+        assert "output= can only be used with a single column" in str(excinfo.value)
+
+
 @pytest.mark.parametrize(
     "type,expected",
     (