Muhammad ibn Musa al-Khwarizmi was an influential Persian mathematician, astronomer and geographer during the Abbasid Caliphate in the 9th century. He worked at the House of Wisdom in Baghdad and made significant contributions to mathematics, astronomy, geography and cartography. Some of his key works included the first text on algebra titled The Compendious Book on Calculation by Completion and Balancing, a text on Hindu-Arabic numerals, and a revised version of Ptolemy's Geography titled Book of the Description of the Earth. Al-Khwarizmi introduced Arabic numerals and established the foundations of algebra and trigonometry, which had a profound impact on advancing mathematics in

1. PREPARED BY
NURDINI BINTI SAMSUDIN
PREPARED BY
NURDINI BINTI SAMSUDIN
AL-KHWARIZMIAL-KHWARIZMI

2. MUHAMMAD IBN MUSA AL-KHWARIZMIMUHAMMAD IBN MUSA AL-KHWARIZMI

3. Was born in Khwarezm, Persia (Uzbekistan)
around c. 780
Was born in Khwarezm, Persia (Uzbekistan)
around c. 780
Died in Banghdad, Iraq around c. 850Died in Banghdad, Iraq around c. 850
A scholar in the House of Wisdom in Baghdad.A scholar in the House of Wisdom in Baghdad.
mathematician, astronomer, and geographer
during the Abbasid Caliphate
mathematician, astronomer, and geographer
during the Abbasid Caliphate
Al-Khwarizmi accomplished most of his work
in the period between 813 and 833 century
Al-Khwarizmi accomplished most of his work
in the period between 813 and 833 century
The House of Wisdom was a
scientific research and teaching center
The House of Wisdom was a
scientific research and teaching center

4. CONTRIBUTIONSCONTRIBUTIONS
to mathematics, geography, astronomy, and cartographyto mathematics, geography, astronomy, and cartography
established the basis for innovation in algebra and trigonometryestablished the basis for innovation in algebra and trigonometry
his systematic approach to solving linear and quadratic equations
led to algebra
his systematic approach to solving linear and quadratic equations
led to algebra
some of his work was based on Persian and Babylonian astronomy,
Indian numbers, and Greek mathematics
some of his work was based on Persian and Babylonian astronomy,
Indian numbers, and Greek mathematics

5. systematized and corrected Ptolemy's data
for Africa and the Middle East
systematized and corrected Ptolemy's data
for Africa and the Middle East
one of his major book was Kitab surat al-ard
("The Image of the Earth"; translated as Geography)
one of his major book was Kitab surat al-ard
("The Image of the Earth"; translated as Geography)
presenting the coordinates of places based on those in the
Geography of Ptolemy but with improved values
for the Mediterranean Sea, Asia, and Africa
presenting the coordinates of places based on those in the
Geography of Ptolemy but with improved values
for the Mediterranean Sea, Asia, and Africa
wrote on mechanical devices like the astrolabe and sundialwrote on mechanical devices like the astrolabe and sundial
assisted a project to determine the circumference
of the Earth and in making a world map for al-Ma'mun,
the caliph, overseeing 70 geographers
assisted a project to determine the circumference
of the Earth and in making a world map for al-Ma'mun,
the caliph, overseeing 70 geographers

6. in the 12th century, his works spread to Europe
through Latin translations
in the 12th century, his works spread to Europe
through Latin translations
it had a profound impact on the advance of mathematics in Europeit had a profound impact on the advance of mathematics in Europe
Khwarizmi statute
in Amir Kabir University,
Tehran
Khwarizmi statute
in Amir Kabir University,
Tehran

7. ALGEBRAALGEBRA
one of the broad parts of mathematics,
together with number theory, geometry and analysis
one of the broad parts of mathematics,
together with number theory, geometry and analysis
The Compendious Book on Calculation by Completion and Balancing
(al-Kitab al-mukhtasar fi hisab al-jabr wal-muqabala)
It is a mathematical book written approximately 830 CE
The Compendious Book on Calculation by Completion and Balancing
(al-Kitab al-mukhtasar fi hisab al-jabr wal-muqabala)
It is a mathematical book written approximately 830 CE
was written with the encouragement of Caliph al-Ma'mun
as a popular work on calculation and is replete with examples
and applications to a wide range of problems in trade,
surveying and legal inheritance
was written with the encouragement of Caliph al-Ma'mun
as a popular work on calculation and is replete with examples
and applications to a wide range of problems in trade,
surveying and legal inheritance
the study of mathematical symbols
and the rules for manipulating these symbols
the study of mathematical symbols
and the rules for manipulating these symbols

8. a unique Arabic copy is kept at Oxford
and was translated in 1831 by Fredrick Rosen in English
a unique Arabic copy is kept at Oxford
and was translated in 1831 by Fredrick Rosen in English
was translated in Latin as Liber algebrae et almucabala
by Robert of Chester and keep in Cambridge
was translated in Latin as Liber algebrae et almucabala
by Robert of Chester and keep in Cambridge

9. ARITHMETICARITHMETIC
a branch of mathematics that consists of the study of numbers,
especially the properties of the traditional operations
a branch of mathematics that consists of the study of numbers,
especially the properties of the traditional operations
addition, subtraction, multiplication and divisionaddition, subtraction, multiplication and division
introducing the Arabic numeralsintroducing the Arabic numerals
based on the Hindu-Arabic numeral system
developed in Indian mathematics, to the Western world
based on the Hindu-Arabic numeral system
developed in Indian mathematics, to the Western world

10. Arabic numerals are based on angles,Arabic numerals are based on angles,
established by Khwarizmi.established by Khwarizmi.

11. ASTRONOMYASTRONOMY
Zij al-Sindhind or known as
"astronomical tables of Sindh and Hind"
Zij al-Sindhind or known as
"astronomical tables of Sindh and Hind"
is a work consisting of approximately 37 chapters on calendrical
and astronomical calculations and 116 tables with calendrical,
astronomical and astrological data, as well as a table of sine values
is a work consisting of approximately 37 chapters on calendrical
and astronomical calculations and 116 tables with calendrical,
astronomical and astrological data, as well as a table of sine values
based on the Indian astronomical methods known as the sindhindbased on the Indian astronomical methods known as the sindhind

12. example of Khwarizmi's researchexample of Khwarizmi's research

13. TRIGONOMETRYTRIGONOMETRY
his book contained tables for the trigonometric functions
of sines and cosine
his book contained tables for the trigonometric functions
of sines and cosine
A related treatise on spherical trigonometry is also attributed to himA related treatise on spherical trigonometry is also attributed to him
is a branch of mathematics that studies relationships
involving lengths and angles of triangles
is a branch of mathematics that studies relationships
involving lengths and angles of triangles

14. trigonometrytrigonometry
trigonometric functiontrigonometric function
spherical trigonometryspherical trigonometry

15. GEOGRAPHYGEOGRAPHY
It is a major reworking of Ptolemy's 2nd-century Geography,It is a major reworking of Ptolemy's 2nd-century Geography,
consisting of a list of 2402 coordinates of cities and other
geographical features following a general introduction
consisting of a list of 2402 coordinates of cities and other
geographical features following a general introduction
only one copy of Kitab Surat al-Ard survived,
which is kept at the Strasbourg University Library
only one copy of Kitab Surat al-Ard survived,
which is kept at the Strasbourg University Library
"Book of the Description of the Earth""Book of the Description of the Earth"

16. Hubert Daunicht reconstruct the map from the list of coordinates.
He read the latitudes and longitudes of the coastal points
in the manuscript or deduces which is not legible.
He transferred the points onto graph paper
and connected them with straight lines
Hubert Daunicht reconstruct the map from the list of coordinates.
He read the latitudes and longitudes of the coastal points
in the manuscript or deduces which is not legible.
He transferred the points onto graph paper
and connected them with straight lines
The book opens with the list of latitudes and longitudes,
in order of "weather zones", that is to say in blocks of latitudes and
in each weather zone, by order of longitude
The book opens with the list of latitudes and longitudes,
in order of "weather zones", that is to say in blocks of latitudes and
in each weather zone, by order of longitude

17. Daunicht's reconstruction
of the section of al-Khwarizmi's
world map concerning the Indian Ocean
Daunicht's reconstruction
of the section of al-Khwarizmi's
world map concerning the Indian Ocean
A 15th-century version of
Ptolemy's Geography
for comparison
A 15th-century version of
Ptolemy's Geography
for comparison
al-Khwarizmi versional-Khwarizmi version

18. THANK YOUTHANK YOU