This book is a collection of reprints of articles on various aspects of Islamic mathematical astronomy, written by one of the leading scholars in the field. Items 2, 9, 11, 13, 14 and 15 in the following table of contents are of particular interest for the history of medieval Islamic mathematics. The book contains two pages of addenda to the articles, and various indices. A detailed table of contents follows. \par 1.\ ``Some reflections on the history of Islamic astronomy'' (not previously published, on the present state of research); 2.\ ``On the astronomical tables of the Islamic middle ages'' [in {\it Colloquia Copernica, III} (Toruń, 1973), 37--56, Studia Copernicana, 13, Polska Akad. Nauk, Wrocław, 1975] (a survey article); 3.\ ``The astronomy of the Mamluks'' [Isis {\bf 74} (1983), no. 274, 531--555; MR0726696 (85k:01007)]; 4.\ ``Mathematical astronomy in medieval Yemen'' [Arabian Stud. {\bf 5} (1979), 61--65; per bibl.] (a brief introduction); 5.\ ``A double-argument table for the lunar equation attributed to Ibn Yūnus'' [Centaurus {\bf 18} (1973/74), 129--146; MR0479832 (58 \#44)]; 6.\ (with \n E. S. Kennedy\en) ``Ibn al-Majdī's tables for calculating ephemerides'' [J. Hist. Arabic Sci. {\bf 4} (1980), no. 1, 48--68; MR0619142 (83i:01014)]; 7.\ (with \n O. Gingerich\en) ``Some astronomical observations from thirteenth-century Egypt'' [J. Hist. Astronom. {\bf 13} (1982), no. 2, 121--128; MR0675912 (84h:01013)]; 8.\ (with Kennedy) ``Indian astronomy in fourteenth-century Fez: the versified Zīj of al-Qusun\udot tīnī'' [J. Hist. Arabic Sci. {\bf 6} (1982), no. 1-2, 3--45; MR0723407 (85a:01013)]; 9.\ ``Ibn Yūnus' very useful tables for reckoning time by the sun'' [Arch. Hist. Exact Sci. {\bf 10} (1973), no. 3-5, 342--394; MR0446810 (56 \#5134)]; 10.\ ``Astronomical timekeeping in fourteenth-century Syria'' [in {\it Proceedings of the First International Symposium for the History of Arabic Science, Vol. 2} (Aleppo 1978), 75--84; per bibl.]; 11.\ ``Al-Khalīlī's auxiliary tables for solving problems in spherical astronomy'' [J. Hist. Astronom. {\bf 4} (1973), no. 2, 99--110; MR0504672 (58 \#21050)]; 12.\ ``Astronomical timekeeping in Ottoman Turkey'' [in {\it Proceedings of the International Symposium on the Observatories in Islam} (Istanbul, 1977), 245--269; per bibl.]; 13.\ ``Al-Khalīlī's qibla table'' [J. Near-Eastern Stud. {\bf 34} (1975), no. 2, 81--122]; 14.\ ``On medieval Islamic multiplication tables'' [Historia Math. {\bf 1} (1974), 317--323; MR0484947 (58 \#4810)]; 15.\ ``Supplementary notes on medieval Islamic multiplication tables'' [ibid. {\bf 6} (1979), no. 4, 405--417; MR0549816 (80m:01010)]; 16.\ ``A handlist of the Arabic and Persian astronomical manuscripts in the Maharaja Mansingh II library in Jaipur'' [J. Hist. Arabic Sci. {\bf 4} (1980), no. 1, 81--86; MR0619144 (83g:01006)]. \par The articles are followed by reprints of two reviews by King that have become classics: 17.\ a review of the chapters on mathematics and astronomy in \n S. H. Nasr's\en {\it Islamic science, an illustrated study} [J. Hist. Astronom. {\bf 9} (1978), 212--219; per bibl.]; 18.\ a review of \n A. A. Daffa's\en {\it The Muslim contribution to mathematics} [Hist. Sci. {\bf 17} (1979), 295--296; per bibl.]. \par The present book and the similar volume of reprints of the author's papers on instruments [{\it Islamic astronomical instruments}, Variorum, London, 1986] are useful for specialists and at the same time interesting for the reader with a general interest in the history of science. The large number of plates and illustrations makes the books particularly attractive.