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Mathematics in the Time of the Pharaohs

Richard J. Gillings
Publisher: 
Dover Publications
Publication Date: 
1492
Number of Pages: 
288
Format: 
Paperback
Price: 
11.95
ISBN: 
0-486-24315-X
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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PREFACE
Introduction
Hieroglyphic and Hieratic Writing and Numbers
The Four Arithmetic Operations
ADDITION AND SUBTRACTION
MULTIPLICATION
DIVISION
FRACTIONS
The Two-Thirds Table for Fractions
PROBLEMS 61 AND 61B OF THE RHIND MATHEMATICAL PAPYRUS
TWO-THIRDS OF AN EVEN FRACTION
AN EXTENSION OF RMP 61B AS THE SCRIBE MAY HAVE DONE IT
EXAMPLES FROM THE RHIND MATHEMATICAL PAPYRUS OF THE TWO-THIRDS TABLE
The G Rule in Egyptian Arithmetic
FURTHER EXTENSIONS OF THE G RULE
The Recto of the Rhind Mathematical Papyrus
THE DIVISION OF 2 BY THE ODD NUMBERS 3 TO 101
CONCERNING PRIMES
FURTHER COMPARISONS OF THE SCRIBE'S AND THE COMPUTERS DECOMPOSITIONS
The Recto Continued
EVEN NUMBERS IN THE RECTO: 2 ö 13
MULTIPLES OF DIVISORS IN THE RECTO
TWO DIVIDED BY THIRTY-FIVE: THE SCRIBE DISCLOSES HIS METHOD
Problems in Completion and the Red Auxiliaries
USE OF THE RED AUXILIARIES OR REFERENCE NUMBERS
AN INTERESTING OSTRACON
The Egyptian Mathematical Leather Roll
THE FIRST GROUP
THE SECOND GROUP
THE THIRD GROUP
THE FOURTH GROUP
THE NUMBER SEVEN
LINE 10 OF THE FOURTH GROUP
THE FIFTH GROUP
Unit-Fraction Tables
UNIT-FRACTION TABLES OF THE RHIND MATHEMATICAL PAPYRUS
PROBLEMS 7 TO 20 OF THE RHIND MATHEMATICAL PAPYRUS
Problems of Equitable Distribution and Accurate Measurement
DIVISION OF THE NUMBERS 1 TO 9 BY 10
CUTTING UP OF LOAVES
SALARY DISTRIBUTION FOR THE PERSONNEL OF THE TEMPLE OF ILLAHUN
Pesu Problems
EXCHANGE OF LOAVES OF DIFFERENT PESUS
Area and Volumes
THE AREA OF A RECTANGLE
THE AREA OF A TRIANGLE
THE AREA OF A CIRCLE
THE VOLUME OF A CYLINDRICAL GRANARY
THE DETAILS OF KAHUN IV
Equations of the First and Second Degree
THE FIRST GROUP
SIMILAR PROBLEMS FROM OTHER PAPYRI
THE SECOND AND THIRD GROUPS
EQUATIONS OF THE SECOND DEGREE
KAHUN LV
"SUGGESTED RESTORATION OF MISSING LINES OF KAHUN LV 4, AND MODERNIZATION OF OTHERS"
Geometric and Arithmetic Progressions
GEOMETRIC PROGRESSIONS: PROBLEM 79 OF THE RHIND MATHEMATICAL PAPYRUS
ARITHMETIC PROGRESSIONS: PROBLEM 40 OF THE RHIND MATHEMATICAL PAPYRUS
KAHUN IV
"Think of a Number" Problems"
PROBLEM 28 OF THE RHIND MATHEMATICAL PAPYRUS
PROBLEM 29 OF THE RHIND MATHEMATICAL PAPYRUS
Pyramids and Truncated Pyramids
THE SEKED OF A PYRAMID
THE VOLUME OF A TRUNCATED PYRAMID
The Area of a Semicylinder and the Area of a Hemisphere
Fractions of a Hekat
Egyptian Weights and Measures
Squares and Square Roots
The Reisner Papyri: The Superficial Cubit and Scales of Notation
APPENDIX 1
The Nature of Proof
APPENDIX 2
The Egyptian Calendar
APPENDIX 3
Great Pyramid Mysticism
APPENDIX 4
"Regarding Morris Kline's Views in Mathematics, A Cultural Approach"
APPENDIX 5
The Pythagorean Theorem in Ancient Egypt
APPENDIX 6
The Contents of the Rhind Mathematical Papyrus
APPENDIX 7
The Contents of the Moscow Mathematical Papyrus
APPENDIX 8
A Papyritic Memo Pad
APPENDIX 9
"Horus-Eye Fractions in Terms of Hinu: Problems 80, 81 of the Rhind Mathematical Papyrus"
APPENDIX 10
The Egyptian Equivalent of the Least Common Denominator
APPENDIX 11
A Table of Two-Term Equalities for Egyptian Unit Fractions
APPENDIX 12
"Tables of Hieratic Integers and Fractions, Showing Variations"
APPENDIX 13
Chronology
APPENDIX 14
A Map of Egypt
APPENDIX 15
The Egyptian Mathematical Leather Roll
BIBLIOGRAPHY
INDEX

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