  We present a map and an angular power spectrum of the anisotropy of the
cosmic microwave background (CMB) from the first flight of MAXIMA. MAXIMA is a
balloon-borne experiment with an array of 16 bolometric photometers operated at
100 mK. MAXIMA observed a 124 square degrees region of the sky with 10
arcminute resolution at frequencies of 150, 240 and 410 GHz. The data were
calibrated using in-flight measurements of the CMB dipole anisotropy. A map of
the CMB anisotropy was produced from three 150 and one 240 GHz photometer
without need for foreground subtractions. Analysis of this CMB map yields a
power spectrum for the CMB anisotropy over the range 36 < l < 785. The spectrum
shows a peak with an amplitude of 78 +/- 6 micro-Kelvin at l ~ 220 and an
amplitude varying between ~40 micro-Kelvin and ~50 micro-Kelvin for 400 < l <
785.
