Textbooks 2

Algebra in Cuneiform

Introduction to an Old Babylonian Geometrical Technique

Jens Høyrup

 

Submitted by: Robert K. Englund

Click on the entries in the Table of Contents below to download individual chapters.

ISBN: 978-3-945561-15-7
Price: 6,80 €
Print on Demand: pro-business.com
Publication Date: Dec. 8, 2017

Key entries in boldface

A 

principal language
1

and equations
1

and quasi-algebra
1 2 3

meaning of word
1 2 3

1 2

and geometrical riddles
1

origin
1

and Greek theoretical arithmetic
1

arithmetical interpretation
1 2

based on tangible and measurable magnitudes
1 2 3 4

blind alley
1 2

cultural function
1

didactical function
1

discovery
1

erroneous arguments
1

flexible instrument
1 2

origin
1

pretendedly practical problems
1 2 3 4 5

principles of interpretation
1 2 3

problems with no practical applications
1 2 3 4 5

product of the Old Babylonian epoch
1

quasi-disappearance
1

resurgence in reduced form
1

school topic
1

shortcomings of arithmetical interpretation
1 2 3 4 5

variation of coefficients
1 2 3 4

1

practically right
1

1 2

#2
1 2 3 4 5 6 7 8

B 

editions of texts
1

similar to and different from ours
1

1

known before 2200 BCE
1

the argument
1

1 2 3

01
1 2 3

02
1 2 3

10
1 2 3 4 5

12
1 2 3

14
1

23
1 2 3 4 5 6 7 8

#24
1 2 3

1 2 3 4 5

C 

D 

drawn in sand
1

drawn on the tablet
1 2

E 

F 

G 

H 

I 

J 

K 

1

standard height
1 2

L 

M 

authors
1

dating
1

language
1 2

for area
1

for hollow measures
1

for horizontal distance
1

for vertical distance
1

for volumes
1

for weight
1

N 

absence from Babylonian mathematics
1 2 3

“found“ with the Babylonians
1 2

1

and place-value system
1

known but not given
1 2

used as names
1

O 

additive
1

multiplicity of
1

of divisions
1

subtractive
1

P 

Q 

R 

primacy compared to triangles
1

1 2 3 4 5 6

fundamental
1 2

fundamental, Babylonian
1

geometric
1 2

of areas by line segments
1

1

adopted and transformed by the school
1 2

1 2

and modern mathematics
1

1 2 3

their functions
1

S 

T 

1

equal, 1 joined
1

learned by heart
1 2 3

metrological
1

of cubic “equals”
1

of igi
1 2 3 4 5 6 7 8

of multiplication
1 2 3

of squares and ”equals“
1

damaged
1

for rough work
1 2

support for writing
1

1

#1
1

#2
1

#3
1 2 3 4 5 6 7

1 2

#1
1 2

#2
1 2 3 4

1 2

#1
1 2 3 4 5

#2
1

conformal
1 2

of numbers
1 2

principles
1

U 

V 

W 

Y 

1 2

01
1

03
1

04
1