『Madhava: The Kerala Mathematician Who Invented Calculus 200 Years Before Newton and Whose Work May Have Reached Europe Through a Spy Network of Jesuit Missionaries』のカバーアート

Madhava: The Kerala Mathematician Who Invented Calculus 200 Years Before Newton and Whose Work May Have Reached Europe Through a Spy Network of Jesuit Missionaries

Madhava: The Kerala Mathematician Who Invented Calculus 200 Years Before Newton and Whose Work May Have Reached Europe Through a Spy Network of Jesuit Missionaries

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In 1666 Isaac Newton invented calculus.This is what most of the world was taught and what most of the world still believes.There is a problem with this version of events.A mathematician in Kerala had already done it. In the 14th century. And the Cambridge University Professor of Mathematics George Gheverghese Joseph has stated that the priority of Kerala developments in the calculus over that of Newton and Leibniz is now beyond doubt.His name was Madhava of Sangamagrama. He was born around 1340 CE in a small town near what is now Thrissur in Kerala. He died around 1425 CE, more than two centuries before Newton was born. And the mathematical tradition he founded, the Kerala School of Astronomy and Mathematics, produced infinite series expansions for sine, cosine, tangent and arctangent that are today formally known by the names of the European mathematicians who rediscovered them centuries after Madhava had already solved them.Madhava-Newton. Madhava-Leibniz. Madhava-Gregory. Madhava-Taylor.The names that appear in every university mathematics syllabus worldwide contain the name of a 14th-century Kerala mathematician as the first author. And almost nobody outside the mathematical history community knows this.But the story does not end with the mathematics. It ends with a question historians of science are still actively debating. Did the Jesuit missionaries who were active on the Kerala coast in the 15th and 16th centuries, trading from the ancient port of Muziris near Madhava's own birthplace, carry the Kerala calculus back to Europe in their manuscripts and letters? Did Newton and Leibniz build on mathematical foundations that an Indian mathematician had already laid?The answer is not yet proven. But the circumstantial evidence is extraordinary.What You Will Discover in This EpisodeThe complete story of Madhava of Sangamagrama, born around 1340 CE in Sangamagrama, present-day Irinjalakuda in the Thrissur district of Kerala, and how he founded the Kerala School of Astronomy and Mathematics that continued producing world-class mathematical work for over two hundred years after his deathHow Madhava built explicitly on the calculus concepts that Bhaskara II of Bijapur in Karnataka had described two centuries earlier in his Siddhanta Shiromani of 1150 CE, and why the distinction matters, Bhaskara II described calculus concepts in application, Madhava formalised calculus as a complete mathematical system, and together they represent the most significant contribution to the development of calculus made anywhere in the world before NewtonWhat an infinite series actually is and why Madhava's discovery that irrational quantities like pi can be expressed as infinite series of progressively smaller terms converging to an exact value is the foundational concept of modern mathematical analysis, the decisive step from finite to infinite procedures that Cambridge mathematicians have described as the kernel of modern classical analysisThe specific series for pi that Madhava discovered and that Leibniz independently rediscovered in 1676, today known as the Madhava-Leibniz series, and how Madhava used it to calculate pi correctly to eleven decimal places in 14th-century Kerala, a precision sufficient for almost every practical application including the GPS satellite navigation systems whose mathematics traces foundational concepts back to his workThe Gregory-Leibniz series for the arctangent function, taught in every university calculus course in the world, which was known in Kerala three hundred years before either James Gregory or Gottfried Leibniz was born, and why the attribution question is one of the most significant issues of intellectual priority in the history of mathematicsThe extraordinary transmission question, whether the Jesuit missionaries who arrived on the Kerala Malabar Coast in the 16th century, who were extraordinarily well educated men with strong mathematical backgrounds in active communication with the leading mathematical centres of Europe, were the channel through which Madhava's infinite series reached Newton and Leibniz, and why the circumstantial evidence is compelling even though documentary proof has not yet been foundThe ancient port of Muziris near Madhava's birthplace in the Thrissur district, one of the most commercially active ports on the Indian Ocean coast, where Roman amphorae, Mediterranean glass beads and coins confirm extraordinary ancient trading connections, and how the same port through which Roman merchants imported Indian pepper in the 1st century CE may have been the port through which Jesuit missionaries exported Indian mathematics to Europe in the 16th centuryHow 5 Senses Tours brings the complete Madhava and Kerala mathematical heritage to life for international travellers through expert guided experiences in the Thrissur district, the Muziris heritage circuit and the complete Fort Kochi heritageExperience Madhava's Kerala With 5 Senses ToursThe landscape where Madhava ...
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