Calendrical Calculations (3rd Edition) by Nachum Dershowitz, Edward M. Reingold

By Nachum Dershowitz, Edward M. Reingold

Publish yr note: First released in 2007

A worthwhile source for operating programmers, in addition to a fount of valuable algorithmic instruments for desktop scientists, this new version of the preferred calendars e-book expands the remedy of the former version to new calendar variations: widespread cyclical calendars and astronomical lunar calendars in addition to the Korean, Vietnamese, Aztec, and Tibetan calendars.

The authors body the calendars of the realm in a totally algorithmic shape, permitting effortless conversion between those calendars and the choice of secular and spiritual vacation trips. LISP code for all of the algorithms can be found on the internet.

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Extra resources for Calendrical Calculations (3rd Edition)

Example text

The 235 = 12 × 12 + 7 × 13 months in the cycle are divided into 12 years of 12 months and 7 leap years of 13 months. The Metonic cycle is used in the Hebrew calendar (Chapter 7) and for the ecclesiastical calculation of Easter (Chapter 8). The more precise the mean year, the larger the underlying constants must be. 27 seconds per year. 12 apply, and errs by fewer than 8 seconds per year. The placement of leap years must make a trade-off between two conflicting requirements: Small constants defining a simple leap year rule of limited accuracy or greater accuracy at the expense of larger constants, as the examples in the last 5 See [2, pp.

The ancient Hindu solar and lunisolar calendars are described next; these are simple versions of the modern Hindu solar and lunisolar calendars described in Part II. Next, the Mayan (and similar Aztec) calendars of historical interest, have several unique computational aspects, followed by the Balinese Pawukon calendar. All of the calendars described in Part I are “arithmetical” in that they operate by straightforward integer-based rules. We conclude Part I with a chapter describing generic arithmetic calendar schemata that apply to many of the calendars in this part.

For example, the Hebrew calendar begins at sunset on Sunday, September 6, −3760 (Gregorian); scholarly literature is replete with such statements. Thus, to aid the reader, we now explain how years before the common era are conventionally handled. This convention is often a source of confusion, even among professional historians. It is computationally convenient, and mathematically sensible, to label years with the sequence of integers . . , −3, −2, −1, 0, 1, 2, 3, . . D. D. D. D. 1: Meaning of “day” in various calendars.

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