Mathematical Minds of India
Unveiling The Genius & Lasting Legacy
Aryabhatta Brahmagupta
Srinivasa
Ramanujan
Mahavira
Aryabhatta - The Star of Indian Mathematics
● Born in 476 CE in Kusumapura
(modern Patna, India).
● One of the greatest mathematicians
and astronomers of ancient India.
● Authored the renowned text
“Aryabhatiya”.
● Mastered subjects like mathematics,
astronomy, and trigonometry.
● Revered as a key figure who shaped
early scientific thought in India.
Aryabhatta’s Timeless Contributions
● Concept of Zero – Strengthened the foundation of modern mathematics.
● Value of π (Pi) – Calculated it accurately up to several decimal places.
● Place Value System – Developed a positional number system.
● Trigonometry – Introduced sine (jya) and cosine (kojya) functions.
● Astronomical Calculations – Determined Earth’s circumference and
explained its rotation on its axis.
● Aryabhatiya – His famous work covering mathematics, algebra,
trigonometry, and astronomy.
● Born in 598 CE at Bhillamala
(present-day Bhinmal, Rajasthan)
● Renowned Indian mathematician and
astronomer of the 7th century
● Authored the famous work
“Brahmasphutasiddhanta” in 628 CE
● Introduced rules for operations
involving zero and negative numbers
● Made significant contributions to
geometry, algebra, and astronomy
:- Genius of Geometry & Algebra
Brahmagupta Timeless Contribution
● Zero as a Number– Defined zero and set rules for its arithmetic use.
● Negative Numbers – Introduced and explained their operations.
● Algebra – Solved quadratic equations and progressions systematically.
● Geometry & Mensuration – Gave formulas for cyclic quadrilaterals and
solids.
● Astronomy – Refined planetary calculations and eclipse descriptions.
● Brahmasphutasiddhanta – Landmark text on math and astronomy.
Srnivasa Ramanujan :- The Man Who knew Infinity
● Born in 1887 in Erode, Tamil Nadu, India.
● Displayed exceptional mathematical
talent
from childhood.
● Largely self-taught, learning advanced
concepts from old textbooks.
● Went to Cambridge University in 1914
to work with G.H. Hardy.
● Passed away in 1920 at the age of 32,
leaving an enduring legacy.
Srinivasa Ramanujan Timeless Contribution
● Pioneered work in infinite series and continued fractions.
● Introduced the concept of Ramanujan Prime.
● Developed the Ramanujan Theta Function.
● Advanced the Partition Function with new formulas.
● Discovered Mock Theta Functions.
● Classified and studied Highly Composite Numbers
Mahavira :- Visionary Of Medieval Mathematics
● Mahāvīra was a renowned Indian
mathematician of the 9th century CE.
● He was born in Karnataka and belonged
to the Jain tradition.
● He is best known as the author of the
text “Ga itasārasa graha.”
ṇ ṅ
● His work reflects the rich mathematical
culture of ancient India.
● Mahāvīra is remembered as one of the
pioneers of systematic mathematics.
Mahavira’s Timeless Contribution
● Authored Ga itasārasa graha around 850 CE.
ṇ ṅ
● Formalized rules for zero, fractions, and negatives.
● Provided methods to solve quadratic equations.
● Described permutations, combinations, and series.
● Contributed to geometry and measurement of shapes.
● Inspired later Indian mathematicians.
Conclusion
• Indian mathematics is more than numbers; it is a legacy of brilliant
ideas that shaped the world.
• Aryabhatta : Astronomy and trigonometry
• Brahmagupta : Zero and algebra
• Ramanujan : Infinity and imagination
• Mahavira : Organized mathematical knowledge
• Their genius continues to inspire and influence mathematics, science,
and technology even today.
Thank You !!
Do You Have Any Questions ?

Mathematics new ppt for iks.pptx 1231231

  • 1.
    Mathematical Minds ofIndia Unveiling The Genius & Lasting Legacy
  • 3.
  • 4.
    Aryabhatta - TheStar of Indian Mathematics ● Born in 476 CE in Kusumapura (modern Patna, India). ● One of the greatest mathematicians and astronomers of ancient India. ● Authored the renowned text “Aryabhatiya”. ● Mastered subjects like mathematics, astronomy, and trigonometry. ● Revered as a key figure who shaped early scientific thought in India.
  • 5.
    Aryabhatta’s Timeless Contributions ●Concept of Zero – Strengthened the foundation of modern mathematics. ● Value of π (Pi) – Calculated it accurately up to several decimal places. ● Place Value System – Developed a positional number system. ● Trigonometry – Introduced sine (jya) and cosine (kojya) functions. ● Astronomical Calculations – Determined Earth’s circumference and explained its rotation on its axis. ● Aryabhatiya – His famous work covering mathematics, algebra, trigonometry, and astronomy.
  • 6.
    ● Born in598 CE at Bhillamala (present-day Bhinmal, Rajasthan) ● Renowned Indian mathematician and astronomer of the 7th century ● Authored the famous work “Brahmasphutasiddhanta” in 628 CE ● Introduced rules for operations involving zero and negative numbers ● Made significant contributions to geometry, algebra, and astronomy :- Genius of Geometry & Algebra
  • 7.
    Brahmagupta Timeless Contribution ●Zero as a Number– Defined zero and set rules for its arithmetic use. ● Negative Numbers – Introduced and explained their operations. ● Algebra – Solved quadratic equations and progressions systematically. ● Geometry & Mensuration – Gave formulas for cyclic quadrilaterals and solids. ● Astronomy – Refined planetary calculations and eclipse descriptions. ● Brahmasphutasiddhanta – Landmark text on math and astronomy.
  • 8.
    Srnivasa Ramanujan :-The Man Who knew Infinity ● Born in 1887 in Erode, Tamil Nadu, India. ● Displayed exceptional mathematical talent from childhood. ● Largely self-taught, learning advanced concepts from old textbooks. ● Went to Cambridge University in 1914 to work with G.H. Hardy. ● Passed away in 1920 at the age of 32, leaving an enduring legacy.
  • 9.
    Srinivasa Ramanujan TimelessContribution ● Pioneered work in infinite series and continued fractions. ● Introduced the concept of Ramanujan Prime. ● Developed the Ramanujan Theta Function. ● Advanced the Partition Function with new formulas. ● Discovered Mock Theta Functions. ● Classified and studied Highly Composite Numbers
  • 10.
    Mahavira :- VisionaryOf Medieval Mathematics ● Mahāvīra was a renowned Indian mathematician of the 9th century CE. ● He was born in Karnataka and belonged to the Jain tradition. ● He is best known as the author of the text “Ga itasārasa graha.” ṇ ṅ ● His work reflects the rich mathematical culture of ancient India. ● Mahāvīra is remembered as one of the pioneers of systematic mathematics.
  • 11.
    Mahavira’s Timeless Contribution ●Authored Ga itasārasa graha around 850 CE. ṇ ṅ ● Formalized rules for zero, fractions, and negatives. ● Provided methods to solve quadratic equations. ● Described permutations, combinations, and series. ● Contributed to geometry and measurement of shapes. ● Inspired later Indian mathematicians.
  • 12.
    Conclusion • Indian mathematicsis more than numbers; it is a legacy of brilliant ideas that shaped the world. • Aryabhatta : Astronomy and trigonometry • Brahmagupta : Zero and algebra • Ramanujan : Infinity and imagination • Mahavira : Organized mathematical knowledge • Their genius continues to inspire and influence mathematics, science, and technology even today.
  • 13.
    Thank You !! DoYou Have Any Questions ?