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Calendrical Calculations
 
 
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Calendrical Calculations [Hardcover]

Nachum Dershowitz , Edward M. Reingold
5.0 out of 5 stars  See all reviews (1 customer review)
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Product details

  • Hardcover: 512 pages
  • Publisher: Cambridge University Press; 3 edition (10 Dec 2007)
  • Language English
  • ISBN-10: 052188540X
  • ISBN-13: 978-0521885409
  • Product Dimensions: 23.6 x 15.7 x 2.8 cm
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Bestsellers Rank: 2,034,443 in Books (See Top 100 in Books)
  • See Complete Table of Contents

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Nachum Dershowitz
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Product Description

Review

'Because years, months, and days don't mesh simply, calendar making has been a challenge throughout history. Reingold and Dershowitz's compendium, here in its third edition, has already established itself as the definitive reference on calendrical structures. Their manual displays conversions between all the major calendar systems as well as between many fascinating schemes from bygone civilizations.' Owen Gingerich, Harvard-Smithsonian Center for Astrophysics

'One of the most fascinating books I've read all year. Takes chronology into the computer age with impressive erudition and elan. Just finding out what the calendar rules are is usually close to impossible: Calendrical Calculations tells you how to use them too. A must for everyone who worries about days, months, years – and why they never quite fit.' Ian Stewart

' … a good, comprehensive documentation of software for calculating dates on very many calendars.' P. Kenneth Seidelmann, Director of Astrometry, U.S. Naval Observatory

'… something of immense value … a true labor of love, this cultural service to humanity should be in every library of the world.' Choice

'If you are interested in Calendars this book is a must have - an excellent mind-broadening book.' Journal of the ACCU

' … this book must surely become the standard work on calendar conversions. No historian, chronologist or recreational mathematician should be without it.' E.G. Richards, Nature

Product Description

A valuable resource for working programmers, as well as a fount of useful algorithmic tools for computer scientists, this new edition of the popular calendars book expands the treatment of the previous edition to new calendar variants: generic cyclical calendars and astronomical lunar calendars as well as the Korean, Vietnamese, Aztec, and Tibetan calendars. 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 are available on the Web.

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Customer Reviews

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Most Helpful Customer Reviews
Excellent resource 26 Jun 2010
By Alex
Format:Paperback|Amazon Verified Purchase
I bought this book to help me create calendrical algorithms in PHP for a web page, and it has been an excellent resource for this purpose. However, some of the calculations are very complicated and it was difficult to translate these from the LISP listings in the book into PHP or Javascript. And, unlike the Millennium edition, it does not come with the CD with code in Java and LISP in electronic form. However, one of the authors was kind enough to send me a CD when I asked him some questions about the code, so I still give this five stars.
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Amazon.com:  9 reviews
19 of 21 people found the following review helpful
highly readable and reliable description of many calendars 28 April 1999
By A Customer - Published on Amazon.com
Format:Paperback
The book explains the structure of 14 calendars, and gives easily comprehensible formulae for the conversion of a date in any of these calendars into a day count, and back to the calendar date. It also includes many holidays for these calendars.

Rather than on the history of calendars or their cultural background, the focus is on a lucid, correct, and complete exposition of their functional principles. Extensive bibliographic references are given to the primary sources for each calendar.

A highlight is the complete specification of several calendars depending on fairly precise timings of astronomical phenomena (Chinese calendar and some Hindu religious calendars).

To make it self-contained, the book explains the necessary mathematical and astronomical background. The astronomical models are taken from the classic 1991 book "Astronomical Algorithms" by Jean Meeus.

I especially like the presentation of the calendrical formulae in an essentially non-algorithmic manner, using normal mathematical notation. This makes it easy to further analyze these formulae.

For instance, if one wants to know how good an approximation to the spring equinox is March 21 in the Gregorian calendar, one finds from the formula on page 36 in the book that midnight of March 21 in Gregorian year Y is exactly

Y·365.2425 - (Y mod 4)·97/400 + (floor(Y/4) mod 25)·3/100 - (floor(Y/100) mod 4)/4

days after midnight of March 21 in Gregorian year 0, which ranges from Y·365.2425 - 1.4775 up to Y·365.2425 + 0.72. Thus, even assuming the Gregorian approximation of 365.2425 days to the tropical year, spring equinoxes are distributed over at least three dates in March in the Gregorian calendar.

Such reasonings would be very difficult if the book specified the calendars only in terms of programming language code.

The formulae are designed so that it is easy to incorporate them into code written in the programming language of your choice. This use is further supported by a set of test dates in an appendix. Another appendix lists an example implementation of all the formulae, in the programming language Common Lisp. This code (intended for personal use) can also be downloaded from the internet.

But this book is much more than a collection of programming recipes for many calendars -- it makes you understand the structure of those calendars. Ambitious readers can even find the data and the methods to construct their own calendrical formulae.

What would I like to be changed in the book? Not much. Some of the calendrical formulae could be further simplified, the astronomical terminology could be modernized in places, and perhaps some additional historical information could be added. And, of course, even more calendars! For instance, some of the proposed reformed calendars, a more widespread version of the Persian calendar, or an historic Japanese calendar.

This book is a must for everybody wanting reliable and highly readable information on the functional principles of the world's calendars.

Michael Deckers

56 of 69 people found the following review helpful
Potentially good book rendered totally useless by license. 1 April 1999
By A Customer - Published on Amazon.com
Format:Paperback
If it were possible to give this book a ZERO rating, I would have done so. Right on page xxi, the authors purport to license their "Functions (code, formulas, and calendar data)" subject to both copyright and unspecified pending PATENT claims, and to restrict the use of such "Functions" to "strictly personal use." This is a book review, not a tutorial on patent law, so I don't even want to comment on the dubious validity of a PATENT claim covering purely mathematical functions. The authors are entitled to copyright protection on their actual source code examples, but asserting PATENT claims over mathematical functions is fundamentally abusive to the reader. As a result, if you have any practical goal for the information in this book and are considering it for other than mere personal amusement value, buy some other book instead. The license is particularly egregious since, on page xix, the authors explicitly acknowledge that all but two of the historical calendars are represented in GNU Emacs from the Free Software Foundation, proponent of the "copyleft" GNU General Public License!
30 of 36 people found the following review helpful
An excellent book with a mean spirited license 4 Jan 2000
By John - Published on Amazon.com
Format:Paperback
An excellent book on the history and workings of various calendars. But dont use the source code! The licensing agreement is a trap. Use the code in GNU Emacs from the Free Software Foundation distributed under the General Public License. It does everything the authors code does (except for two obscure calendars) and it's free and always will be.
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