Mathematics of the Jewish Calendar

This book is concerned with the mathematical aspects of the current Jewish calendar. It only discusses the religious aspects and the history insofar as these are needed to explain the mathematics.


Contents
  1. Basic principles
  2. The 19 year cycle
  3. The lengths of the months
  4. The calculation of the Molad
  5. The four postponements of the New Year
  6. The fourteen types of year
  7. The main festivals and fasts
  8. Minor fasts
  9. Special Shabbats
  10. The Annual Cycle of Torah Readings
  11. The Atbash
  12. The prayer for rain and the blessing of the sun
  13. The sixty-one types of cycle
  14. Anniversaries
  15. Gauss' Formula for the Date of Pesach
  16. Slonimsky's Formula for the Year Type
  17. The recurrence period of the calendar
  18. Long-term data on the calendar
  19. The long-term accuracy of the calendar
  20. Further reading
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