Mathematics of the Jewish Calendar

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
21. Authors & Contributors