Calendrical calculations / Nachum Dershowitz, Edward M. Reingold.

Format:

Book

Author/Creator:

Dershowitz, Nachum.

Contributor:

Reingold, Edward M., 1945-

Language:

English

Subjects (All):

Calendar--Mathematics.

Calendar.

Physical Description:

xxix, 479 pages : illustrations ; 25 cm

Edition:

Third edition.

Place of Publication:

Cambridge ; New York : Cambridge University Press, 2008.

Summary:

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. As interest grows in the impact of seemingly arbitrary calendrical systems upon our daily lives, this book frames the calendars of the world in a completely algorithmic form. Easy conversion among these calendars is a by-product of the approach, as is the determination of secular and religious holidays. Calendrical Calculations makes accurate calendrical algorithms readily available. The fascinating historical settings, general calendar descriptions, and lavish illustrations will appeal to anyone with an interest in religion, history, astronomy, or is just curious about calendars.

Contents:

Mathematical Notations xvi

License and Limited Warranty and Remedy xxviii

1 Calendar Basics 1

1.1 Calendar Units and Taxonomy 4

1.2 Fixed Day Numbers 9

1.3 Negative Years 12

1.4 Epochs 14

1.5 Julian Day Numbers 16

1.6 Mathematical Notation 17

1.7 Search 20

1.8 Dates and Lists 22

1.9 A Simple Calendar 24

1.10 Cycles of Days 27

1.11 Simultaneous Cycles 30

1.12 Cycles of Years 32

1.13 Warnings about the Calculations 39

I Arithmetical Calendars

2 The Gregorian Calendar 45

2.1 Structure 45

2.2 Implementation 48

2.3 Alternative Formulas 52

2.4 The Zeller Congruence 56

2.5 Holidays 57

3 The Julian Calendar 63

3.1 Structure and Implementation 63

3.2 Roman Nomenclature 65

3.3 Roman Years 69

3.4 Holidays 70

4 The Coptic and Ethiopic Calendars 73

4.1 The Coptic Calendar 73

4.2 The Ethiopic Calendar 75

4.3 Holidays 76

5 The ISO Calendar 79

6 The Islamic Calendar 83

6.1 Structure and Implementation 83

6.2 Holidays 86

7 The Hebrew Calendar 89

7.1 Structure and History 90

7.2 Implementation 95

7.3 Holidays and Fast Days 101

7.4 Personal Days 105

7.5 Possible Days of Week 108

8 The Ecclesiastical Calendars 113

8.1 Orthodox Easier 114

8.2 Gregorian Easter 116

8.3 Astronomical Easter 119

8.4 Movable Christian Holidays 119

9 The Old Hindu Calendars 123

9.1 Structure and History 123

9.2 The Solar Calendar 126

9.3 The Lunisolar Calendar 128

10 The Mayan Calendars 137

10.1 The Long Count 138

10.2 The Haab and Tzolkin Calendars 139

10.3 The Aztec Calendars 145

11 The Balinese Pawukon Calendar 153

11.1 Structure and Implementation 153

11.2 Conjunction Days 159

12 Generic Cyclical Calendars 163

12.1 Single Cycle Calendars 163

12.2 Double Cycle Calendars 166

II Astronomical Calendars

13 Time and Astronomy 171

13.1 Position 172

13.2 Time 174

13.3 The Day 179

13.4 The Year 185

13.5 Astronomical Solar Calendars 192

13.6 The Month 193

13.7 Times of Day 207

14 The Persian Calendar 217

14.1 Structure 217

14.2 The Astronomical Calendar 219

14.3 The Arithmetic Calendar 221

14.4 Holidays 226

15 The Baha'i Calendar 229

15.1 Structure 229

15.2 Western Version 231

15.3 The Future Baha'i Calendar 233

15.4 Holidays 236

16 The French Revolutionary Calendar 239

16.1 The Original Form 241

16.2 The Modified Arithmetical Form 242

17 The Chinese Calendar 247

17.1 Solar Terms 248

17.2 Months 251

17.3 Conversions to and from Fixed Dates 258

17.4 The Sexagesimal Cycle of Names 260

17.5 Common Misconceptions 263

17.6 Holidays 264

17.7 Chinese Age 266

17.8 Chinese Marriage Auguries 267

17.9 The Japanese Calendar 268

17.10 The Korean Calendar 269

17.11 The Vietnamese Calendar 271

18 The Modern Hindu Calendars 275

18.1 Hindu Astronomy 281

18.2 Calendars 287

18.3 Sunrise 292

18.4 Alternatives 295

18.5 Astronomical Versions 299

18.6 Holidays 303

19 The Tibetan Calendar 315

19.1 Calendar 315

19.2 Holidays 319

20 Astronomical Lunar Calendars 325

20.1 Astronomical Easter 325

20.2 Lunar Crescent Visibility 326

20.3 The Observational Islamic Calendar 328

20.4 The Classical Hebrew Calendar 329

A Function, Parameter, and Constant Types 337

A.1 Types 337

A.2 Function Types 342

A.3 Constant Types and Values 356

B Lisp Implementation 361

B.1 Lisp Preliminaries 361

B.2 Basic Code 364

B.3 The Egyptian/Armenian Calendars 366

B.4 Cycles of Days 367

B.5 The Gregorian Calendar 367

B.6 The Julian Calendar 372

B.7 The Coptic and Ethiopic Calendars 373

B.8 The ISO Calendar 376

B.9 The Islamic Calendar 377

B.10 The Hebrew Calendar 378

B.11 The Ecclesiastical Calendars 385

B.12 The Old Hindu Calendars 386

B.13 The Mayan Calendars 388

B.14 The Balinese Pawukon Calendar 392

B.15 Time and Astronomy 395

B.16 The Persian Calendar 411

B.17 The Baha'i Calendar 413

B.18 The French Revolutionary Calendar 416

B.19 The Chinese Calendar 417

B.20 The Modern Hindu Calendars 424

B.21 The Tibetan Calendar 435

B.22 Astronomical Lunar Calendars 437

C Sample Data 441

Envoi 477.

Notes:

Rev. ed. of: Calendrical calculations / Edward M. Reingold, Nachum Dershowitz. Millennium ed.

Includes bibliographical references and index.

Related Work:

Reingold, Edward M., 1945- Calendrical calculations.

ISBN:

9780521885409

052188540X

9780521702386

0521702380

OCLC:

144768713

Online:

Publisher description

Contributor biographical information