# 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.

**Mathematics of the Jewish Calendar**

**Contents**

- Basic principles
- The 19 year cycle
- The lengths of the months
- The calculation of the Molad
- The four postponements of the New Year
- The fourteen types of year
- The main festivals and fasts
- Minor fasts
- Special Shabbats
- The Annual Cycle of Torah Readings
- The Atbash
- The prayer for rain and the blessing of the sun
- The sixty-one types of cycle
- Anniversaries
- Gauss' Formula for the Date of Pesach
- Slonimsky's Formula for the Year Type
- The recurrence period of the calendar
- Long-term data on the calendar
- The long-term accuracy of the calendar
- Further reading
- Authors & Contributors