Age of the Caliphs
  Expansion under Muhammad, 622-632
  Expansion during the Rashidun Caliphate, 632-661
  Expansion during the Umayyad Caliphate, 661-750
Shows modern borders.
Own work using:

http://guides.library.iit.edu/content.php?pid=27903&amp;sid=322018 (archive1, archive2) (via Image:Age_of_Caliphs.png)
Image:BlankMap-World6.svg
The Times Concise Atlas of World History ed. by Geoffrey Barraclough published by Times Books Ltd. ISBN 0-7230-0274-6 pp. 40-41.
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