The Mathematics of the Gregorian Calendar PDF Download
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Author: David Braverman
Publisher: Xlibris Corporation
ISBN: 1462833977
Category : Mathematics
Languages : en
Pages : 146
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Book Description
Most of this book is based on codes assigned to each month of the year, to each year and to each century. Since Pope Gregory XIII replaced the Julian calendar with the Gregorian calendar on February 24, 1582, (and I don't know if he named after himself), the calendar has followed a cycle that makes it predictable. That's where you and I come in. The mathematics is based on an easily learned system called Modulo 7. The problems involve dates and are based an equation with involving 4 quantities. One of them will be unknown. In Task A, that will be the day of the week. If a carnival had a wheel with a spinner that had the 7 days of the week on them, wherever the spinner stops MUST be a day of the week. That is essentially modulo 7. There are no fractions. There are just seven numbers. Readers should know multiples of 7 to avoid having to look at the table.
Author: David Braverman
Publisher: Xlibris Corporation
ISBN: 1462833977
Category : Mathematics
Languages : en
Pages : 146
Get Book Here
Book Description
Most of this book is based on codes assigned to each month of the year, to each year and to each century. Since Pope Gregory XIII replaced the Julian calendar with the Gregorian calendar on February 24, 1582, (and I don't know if he named after himself), the calendar has followed a cycle that makes it predictable. That's where you and I come in. The mathematics is based on an easily learned system called Modulo 7. The problems involve dates and are based an equation with involving 4 quantities. One of them will be unknown. In Task A, that will be the day of the week. If a carnival had a wheel with a spinner that had the 7 days of the week on them, wherever the spinner stops MUST be a day of the week. That is essentially modulo 7. There are no fractions. There are just seven numbers. Readers should know multiples of 7 to avoid having to look at the table.
Author: Marc Cohn
Publisher: Lulu.com
ISBN: 1430324961
Category : Reference
Languages : en
Pages : 221
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Book Description
This book will explain the mathematical details behind the Jewish calendar and Easter calculation with a mathematical proposal to fix the Jewish Calendar from an actuary.In addition, we will explore the mathematics behind the Mayan calendar, Islamic calendar, and our everyday calendar, the Gregorian calendar. First, I will demonstrate how the Jewish calendar works, and how to convert dates between the Jewish calendar to the Gregorian/Julian calendar. I will then explain the Easter calculation and demonstrate how to use the methods from the Easter calculation to fix the Jewish calendar so that the Jewish calendar stays consistent with the solar cycle. In 1582, there were two competing proposals to reform the Julian calendar. I will explain the mathematics behind the two proposals. I will explain the proposal that placed Washington, DC on the 77th meridian.
Author: Edward M. Reingold
Publisher: Cambridge University Press
ISBN: 1108548032
Category : Computers
Languages : en
Pages : 664
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Book Description
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.
Author: Hyman Gabai
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 440
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Book Description
The author explores several connections between mathematics and the history and tradition of Judaism, including the use of gematria to discover deeper meanings of words and phrases in the Torah. this book analysis the mathematical structure and properties of the Hebrew calendar, including probabilities assoiated with the calendar and computation of correspondences between Hebrew and civil dates. Intended for the scholar and layperson alike, this volume will appeal to reders with an interest in Judaism and/or mathematics.
Author: Edward M. Reingold
Publisher: Cambridge University Press
ISBN: 9780521777520
Category : Computers
Languages : en
Pages : 458
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Book Description
This book makes accurate calendrical algorithms readily available for computer use.
Author: David Ewing Duncan
Publisher: William Morrow
ISBN: 9780380975280
Category : History
Languages : en
Pages : 266
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Book Description
The adventure spans the world from Stonehenge to astronomically aligned pyramids at Giza, from Mayan observatories at Chichen Itza to the atomic clock in Washington, the world's official timekeeper since the 1960s. We visit cultures from Vedic India and Cleopatra's Egypt to Byzantium and the Elizabethan court; and meet an impressive cast of historic personages from Julius Caesar to Omar Khayyam, and giants of science from Galileo and Copernicus to Stephen Hawking. Our present calendar system predates the invention of the telescope, the mechanical clock, and the concept ol zero and its development is one of the great untold stories of science and history. How did Pope Gregory set right a calendar which was in error by at least ten lull days? What did time mean to a farmer on the Rhine in 800 A.D.? What was daily life like in the Middle Ages, when the general population reckoned births and marriages by seasons, wars, kings'' reigns, and saints' days? In short, how did the world
Author: Felipe Fernández-Armesto
Publisher: W. W. Norton & Company
ISBN: 0393242471
Category : History
Languages : en
Pages : 457
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Book Description
"A brilliant and readable book…a rich study of humankind's restless spirit." —Candice Millard, New York Times Book Review Greeted with coast-to-coast acclaim on publication, Fernández-Armesto's ambitious history of world exploration sets a new standard. Presenting the subject for the first time on a truly global scale, Fernández-Armesto tracks the pathfinders who, over the past five millennia, lay down the routes of contact that have drawn together the farthest reaches of the world. The Wall Street Journal calls it "impressive...a huge story [told] with gusto and panache." To the Washington Post, "Pathfinders is propelled by an Argonaut of an author, indefatigable and daring. It's a wild ride." And in a front-page review, the Seattle Times hails its "tart and elegant presentation...full of surprises. Fernández-Armesto's lively mind, pithy phrasing, and stunningly thorough and diverse knowledge are a constant pleasure." A plenitude of illustrations and maps in color and black and white augment this rich history. In Pathfinders, winner of the 2007 World History Association Book Prize, we have a definitive treatment of a grand subject.
Author: Bharath Sriraman
Publisher: Springer Nature
ISBN: 3031408462
Category :
Languages : en
Pages : 3221
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Book Description
Author: C. K. Raju
Publisher: Pearson Education India
ISBN: 9788131708712
Category : Calculus
Languages : en
Pages : 536
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Book Description
The Volume Examines, In Depth, The Implications Of Indian History And Philosophy For Contemporary Mathematics And Science. The Conclusions Challenge Current Formal Mathematics And Its Basis In The Western Dogma That Deduction Is Infallible (Or That It Is Less Fallible Than Induction). The Development Of The Calculus In India, Over A Thousand Years, Is Exhaustively Documented In This Volume, Along With Novel Insights, And Is Related To The Key Sources Of Wealth-Monsoon-Dependent Agriculture And Navigation Required For Overseas Trade - And The Corresponding Requirement Of Timekeeping. Refecting The Usual Double Standard Of Evidence Used To Construct Eurocentric History, A Single, New Standard Of Evidence For Transmissions Is Proposed. Using This, It Is Pointed Out That Jesuits In Cochin, Following The Toledo Model Of Translation, Had Long-Term Opportunity To Transmit Indian Calculus Texts To Europe. The European Navigational Problem Of Determining Latitude, Longitude, And Loxodromes, And The 1582 Gregorian Calendar-Reform, Provided Ample Motivation. The Mathematics In These Earlier Indian Texts Suddenly Starts Appearing In European Works From The Mid-16Th Century Onwards, Providing Compelling Circumstantial Evidence. While The Calculus In India Had Valid Pramana, This Differed From Western Notions Of Proof, And The Indian (Algorismus) Notion Of Number Differed From The European (Abacus) Notion. Hence, Like Their Earlier Difficulties With The Algorismus, Europeans Had Difficulties In Understanding The Calculus, Which, Like Computer Technology, Enhanced The Ability To Calculate, Albeit In A Way Regarded As Epistemologically Insecure. Present-Day Difficulties In Learning Mathematics Are Related, Via Phylogeny Is Ontogeny , To These Historical Difficulties In Assimilating Imported Mathematics. An Appendix Takes Up Further Contemporary Implications Of The New Philosophy Of Mathematics For The Extension Of The Calculus, Which Is Needed To Handle The Infinities Arising In The Study Of Shock Waves And The Renormalization Problem Of Quantum Field Theory.
Author: Maria Zack
Publisher: Springer Nature
ISBN: 3031214943
Category : Mathematics
Languages : en
Pages : 314
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Book Description
This volume contains eighteen papers that have been collected by the Canadian Society for History and Philosophy of Mathematics. It showcases rigorously-reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics, as well as the teaching of the history of mathematics. Some of the topics explored include Arabic editions of Euclid’s Elements from the thirteenth century and their role in the assimilation of Euclidean geometry into the Islamic intellectual tradition Portuguese sixteenth century recreational mathematics as found in the Tratado de Prática Darysmetica A Cambridge correspondence course in arithmetic for women in England in the late nineteenth century The mathematical interests of the famous Egyptologist Thomas Eric (T. E.) Peet The history of Zentralblatt für Mathematik and Mathematical Reviews and their role in creating a publishing infrastructure for a global mathematical literature The use of Latin squares for agricultural crop experiments at the Rothamsted Experimental Station The many contributions of women to the advancement of computing techniques at the Cavendish Laboratory at the University of Cambridge in the 1960s The volume concludes with two short plays, one set in Ancient Mesopotamia and the other in Ancient Egypt, that are well suited for use in the mathematics classroom. Written by leading scholars in the field, these papers are accessible not only to mathematicians and students of the history and philosophy of mathematics, but also to anyone with a general interest in mathematics.
