Calendrical Calculations
The Ultimate Edition

These algorithmic tools for programmers, astronomers, and calendar enthusiasts include more than forty calendars and astronomical functions.

Edward M. Reingold (Author), Nachum Dershowitz (Author)

9781107057623, Cambridge University Press

Hardback, published 5 April 2018

660 pages
24.1 x 16.1 x 3.2 cm, 1.22 kg

'It retains all the features that made the first edition … such a wonderful resource, while adding much new material … If you are at all interested in time and calendars, this book must find a place on your desk.' Victor J. Katz, Mathematical Reviews

An invaluable resource for working programmers, as well as a fount of useful algorithmic tools for computer scientists, astronomers, and other calendar enthusiasts, The Ultimate Edition updates and expands the previous edition to achieve more accurate results and present new calendar variants. The book now includes coverage of Unix dates, Italian time, the Akan, Icelandic, Saudi Arabian Umm al-Qura, and Babylonian calendars. There are also expanded treatments of the observational Islamic and Hebrew calendars and brief discussions of the Samaritan and Nepalese calendars. Several of the astronomical functions have been rewritten to produce more accurate results and to include calculations of moonrise and moonset. The authors frame the calendars of the world in a completely algorithmic form, allowing easy conversion among these calendars and the determination of secular and religious holidays. LISP code for all the algorithms is available in machine-readable form.

1. Calendar basics
Part I. Arithmetical Calendars: 2. The Gregorian calendar
3. The Julian calendar
4. The Coptic and Ethiopic calendars
5. The ISO calendar
6. The Icelandic calendar
7. The Islamic calendar
8. The Hebrew calendar
9. The Ecclesiastical calendars
10. The old Hindu calendars
11. The Mayan calendars
12. The Balinese Pawukon calendar
13. Generic Cyclical calendars
Part II. Astronomical Calendars: 14. Time and astronomy
15. The Persian calendar
16. The Bahá'í calendar
17. The French Revolutionary calendar
18. Astronomical Lunar calendars
19. The Chinese calendar
20. The modern Hindu calendars
21. The Tibetan calendar
Part III. Appendices: A. Function, parameter, and constant types
B. Cross references
C. Sample data
D. Lisp implementation.

Subject Areas: Popular astronomy & space [WNX], Algorithms & data structures [UMB], Computer programming / software development [UM]