Book:Richard J. Gillings/Mathematics in the Time of the Pharaohs

Subject Matter

 * History of Mathematics in Ancient Egypt

Contents

 * Preface


 * $1$ Introduction


 * $2$ Hieroglyphic and Hieratic Writing and Numbers


 * $3$ The Four Arithmetic Operations


 * $4$ The Two-Thirds Table for Fractions


 * $5$ The G Rule in Egyptian Arithmetic


 * $6$ The Recto of the Rhind Mathematical Papyrus


 * $7$ The Recto Continued


 * $8$ Problems in Completion and the Red Auxiliaries


 * $9$ The Egyptian Mathematical Leather Roll


 * $10$ Unit-Fraction Tables


 * $11$ Problems of Equitable Distribution and Accurate Measurement


 * $12$ Pesu Problems


 * $13$ Areas and Volumes


 * $14$ Equations of First and Second Degree


 * $15$ Geometric and Arithmetic Progressions


 * $16$ "Think of a Number" Problems


 * $17$ Pyramids and Truncated Pyramids


 * $18$ The Area of a Semicylinder and the Area of a Hemisphere


 * $19$ Fractions of a Hekat


 * $20$ Egyptian Weights and Measures


 * $21$ Squares and Square Roots


 * $22$ The Reisner Papyri: The Superficial Cubit and Scales of Notation


 * $1$
 * The Nature of Proof


 * $2$
 * The Egyptian Calendar


 * $3$
 * Great Pyramid Mysticism


 * $4$
 * Regarding 's views in Mathematics, a Cultural Approach


 * $5$
 * The Pythagorean Theorem in Ancient Egypt


 * $6$
 * The Contents of the Rhind Mathematical Papyrus


 * $7$
 * The Contents of the Moscow Mathematical Papyrus


 * $8$
 * A Papyritic Memo Pad


 * $9$
 * Horus-Eye Fractions in Terms of Hinu: Problems 80, 81 of the Rhind Mathematical Papyrus


 * $10$
 * The Egyptial Equivalent of the Least Common Denominator


 * $11$
 * A Table of Two-Term Equalities for Egyptian Unit Fractions


 * $12$
 * Tables of Hieratic Integers and Fractions, Showing Variations


 * $13$
 * Chronology


 * $14$
 * A Map of Egypt


 * $15$
 * The Egyptian Mathematical Leather Roll