THE COLLECTED MATHEMATICAL PAPERS OF JAMES JOSEPH SYLVESTER

By KENNETH PEREZ

CONTENTS I THE OEUVRE OF KRIPA SHANKAR SHUKLA REMINISCENCES OF PROF K S SHUKLA DR KRIPA SHANKAR SHUKLA, VETERAN HISTORIAN OF HINDU ASTRONOMY AND MATHEMATICS OBITUARY: KRIPA SHANKAR SHUKLA (1918–2007) PROF SHUKLA’S CONTRIBUTION TO THE STUDY OF THE HISTORY OF HINDU ASTRONOMY THE SEMINAL CONTRIBUTION OF K S SHUKLA TO OUR UNDER- STANDING OF INDIAN ASTRONOMY AND MATHEMATICS II STUDIES IN INDIAN MATHEMATICS: BH?SKARA I TO N?R?YA?A PA??ITA HINDU MATHEMATICS IN THE 7TH CENTURY AS FOUND IN BH?SKARA I’S COMMENTARY ON THE ?RYABHA??YA (I) HINDU MATHEMATICS IN THE 7TH CENTURY AS FOUND IN BH?SKARA I’S COMMENTARY ON THE ?RYABHA??YA (II) HINDU MATHEMATICS IN THE 7TH CENTURY AS FOUND IN BH?SKARA I’S COMMENTARY ON THE ?RYABHA??YA (III) CONTENTS HINDU MATHEMATICS IN THE 7TH CENTURY AS FOUND IN BH?SKARA I’S COMMENTARY ON THE ?RYABHA??YA (IV) ON ?R?DHARA’S RATIONAL SOLUTION OF NX2 + 1 = Y2 ?C?RYA JAYADEVA, THE MATHEMATICIAN SERIES WITH FRACTIONAL NUMBER OF TERMS HINDU METHODS FOR FINDING FACTORS OR DIVISORS OF A NUMBER MAGIC SQUARES IN INDIAN MATHEMATICS III REVISED VERSION OF THE MANUSCRIPT OF THE THIRD VOLUME OF DATTA AND SINGH HINDU GEOMETRY HINDU TRIGONOMETRY USE OF CALCULUS IN HINDU MATHEMATICS USE OF PERMUTATIONS AND COMBINATIONS IN INDIA MAGIC SQUARES IN INDIA USE OF SERIES IN INDIA SURDS IN HINDU MATHEMATICS APPROXIMATE VALUES OF SURDS IN HINDU MATHEMATICS IV STUDIES IN INDIAN ASTRONOMY: FROM VEDIC PERIOD TO THE EMERGENCE OF SIDDH?NTAS ASTRONOMY IN ANCIENT AND MEDIEVAL INDIA MAIN CHARACTERISTICS AND ACHIEVEMENTS OF ANCIENT INDIAN ASTRONOMY IN HISTORICAL PERSPECTIVE ON THREE STANZAS FROM THE PAÑCASIDDH?NTIK? THE PAÑCASIDDH?NTIK? OF VAR?HAMIHIRA (1) CONTENTS THE PAÑCASIDDH?NTIK? OF VAR?HAMIHIRA (2) ?RYABHA?A I’S ASTRONOMY WITH MIDNIGHT DAY-RECKONING GLIMPSES FROM THE ?RYABHA?ASIDDH?NTA V DEVELOPMENT OF SIDDH?NTIC ASTRONOMY: SOME HIGHLIGHTS EARLY HINDU METHODS IN SPHERICAL ASTRONOMY USE OF HYPOTENUSE IN THE COMPUTATION OF THE EQUATION OF THE CENTRE UNDER THE EPICYCLIC THEORY IN THE SCHOOL OF ?RYABHA?A I ??? HINDU ASTRONOMER VA?E?VARA AND HIS WORKS THE EVECTION AND THE DEFICIT OF THE EQUATION OF THE CENTRE OF THE MOON IN HINDU ASTRONOMY PHASES OF THE MOON, RISING AND SETTING OF PLANETS AND STARS AND THEIR CONJUNCTIONS VI REVIEWS AND RESPONSES VEDIC MATHEMATICS: THE DECEPTIVE TITLE OF SWAMIJI’S BOOK A NOTE ON THE R?JAM?G??KA OF BHOJA PUBLISHED BY THE ADYAR LIBRARY REVIEW OF R?JAM?G??KA OF BHOJAR?JA REVIEW OF KARA?ARATNA OF DEV?C?RYA A NOTE ON RAYMOND P MERCIER’S REVIEW OF “KARA?ARATNA OF DEV?C?RYA” THE YUGA OF THE YAVANAJ?TAKA: DAVID PINGREE’S TEXT AND TRANSLATION REVIEWED REVIEW OF VA?E?VARASIDDH?NTA AND GOLA OF VA?E?VARA