Comparison Between Egyptian and Indian Mathematics
Criteria  Egyptian Mathematics
 Ancient Indian Mathematics

Images 



Achievements

Evidence of some mathematical knowledge, but contribution to modern
arithmetic only evident in the Ptolemaic Period
 3200 BC Hieroglyphic script and counting on stones
 2700 BC The earliest fully developed base 10 numeration system.
 2700 BC Precision Surveying in Giza pyramids a remarkable feat of engineering
 1800 BC Moscow Mathematical Papyrus, formula for volume of frustum
 1800 BC Hieratic numerals drawn on papyrus
 1650 BC Rhind Mathematical Papyrus  geometry, algebraic equations and arithmetic series
 1300 BC Berlin Mathematical Papyrus  2nd order algebraic equations
 280 BC Ptolemaic Period, Euclid excelled in plane geometry, His most popular work, Elements, is one of the most successful textbooks in the history of mathematics. Within it, the properties of geometrical objects are deduced from a small set of axioms, thereby founding the axiomatic method of mathematics
 Major contributions to the development of modern mathematics
 400 BC Decimal notation of numbers used universally today
 Trigonometric functions of sine and cosine
 528 A.D.  Aryabhatiya calculated the value of Pi at 3.1416
 628 A.D.  Brahmagupta discovered one of the most important concept in all of mathematics, the numerical zero and negative numbers
 1350 A.D. The floating point system in Kerala School of mathematics


Number System

 Systems were not well suited for arithmetical calculations, addition of numerals was quite satisfactory, multiplication and division were
essentially impossible.
 Since trade required dealing with fractions, multiplication and division, Egyptians devised methods of multiplication and division which only involved addition.
  HinduArabic numerals are considered an important milestone in the development of mathematics.


Numeral Hieroglyphs
 Developed in 3200 BC (Early Dynastic Period) and carved in stone
 7 Symbols
 For example 5120 is written as
 The higher number is written to the left of the lower number
 Where there is more than one row of numbers reading starts at the top.
Hieratic Numerals
 36 Symbols
 No positional system  numerals could be written in any order.
For example 5120 is written as :
or
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