Some 1300 years ago in Karnataka there lived a genius who wrote "Gaṇitasārasan̄graha" (which is earliest text devoted entirely to mathematics)

The man who's work later borrowed by Arabs & Europeans

Thread on "Mahāvīracharya" astounding but forgotten legacy

Mahāvirachārya was patronised by rashtrakuta king amoghavarasha

His book"Gaṇita-sāra-saṅgraha"is earliest text devoted entirely to Mathematics

He has described the currently used method of calculating(LCM)of given numbers.The same method was used in Europe later in1500CE
Mahavira wrote "Gaṇita-sāra-saṅgraha" (GSS) in 8th century CE which contains some 1100 slokās & contains elementary topics in arithmetic , algebra , geometry , measurements , logic , number theory , dynamical systems etc

A sheer mathematical genius
He was devout jain
His magnum opus "Ganit sara sangraha " start with a sloka bowing to the glory of the jinas

"संख्याज्ञानप्रदिपेन जैनेंद्रन महत्वेशा,
प्रकाशितम जगतसर्व येन तम प्रणमाम्यहम"

He also praised his predecessor aryabhata , brahmagupta & other greats in his works
The importance & popularity of "Gaṇita-sāra-saṅgraha"was so huge that it enjoyed statues of most important textbook of mathematics in South Indian for over 3 centuries

A large no of manuscript copies of
"Gaṇita-sāra-saṅgraha"whr discovered in Kerala shows it's popularity
Mahāvira was the world's first mathematician to give the general formula for n C r in combinations .

Further he was one of the first mathematician to have given an approximate expression for the circumference of an ellipse(aayata vritta)
Mahāvira also made an important remark in connection with "root of negative number" .

He clearly mentioned in his work that a "negative number cannot have a square root" . This is the first remark on clear recognition of the imaginary quantities in mathematics .
He was the first one to write arithmetic in present day form , he described in details the current method of finding lowest common multiple. therefore, it was an invention not by John napier but by our very own scholar mahaviracharya in its actual form.
Mahaviracharya work was an important link in the continuous chain of Indian mathematics ,it acquired pride place particularly in South India

His work was recognised by great chalukyan ruler Raja Raja narendra who got it translated in telugu by mathematician pavuluri mallana
The credit tht Mahavira rightly deserves for discovery of various methods in the field of mathematics hs gone almost unnoticed by historians

Mahavira by his sheer achievements in several branches of mathematics has a distinct position in the history of indian & world mathematics

More from Science

Ever since @JesseJenkins and colleagues work on a zero carbon US and this work by @DrChrisClack and colleagues on incorporating DER, I've been having the following set of thoughts about how to reduce the risk of failure in a US clean energy buildout. Bottom line is much more DER.


Typically, when we see zero-carbon electricity coupled to electrification of transport and buildings, implicitly standing behind that is totally unprecedented buildout of the transmission system. The team from Princeton's modeling work has this in spades for example.

But that, more even than the new generation required, runs straight into a thicket/woodchipper of environmental laws and public objections that currently (and for the last 50y) limit new transmission in the US. We built most transmission prior to the advent of environmental law.

So what these studies are really (implicitly) saying is that NEPA, CEQA, ESA, §404 permitting, eminent domain law, etc, - and the public and democratic objections that drive them - will have to change in order to accommodate the necessary transmission buildout.

I live in a D supermajority state that has, for at least the last 20 years, been in the midst of a housing crisis that creates punishing impacts for people's lives in the here-and-now and is arguably mostly caused by the same issues that create the transmission bottlenecks.

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महाभारत की कहानी कौन नहीं जानता।लेकिन क्या आपको पता है कि महाभारत के ज्यादातर पात्र किसी न किसी श्राप में फंसे थे।अगर ये श्राप न होते तो कदाचित महाभारत की कहानी कुछ और होती।हिन्दु पौराणिक ग्रंथों में विभिन्न श्रापों का वर्णन मिलता है व हर श्राप के पीछे कोई कहानी अवश्य होती है।


आइए आज जानते हैं महाभारत कथा में वर्णित कुछ श्रापों के बारे में।

1) राजा पाण्डु को ऋषि किन्दम का श्राप

एकबार महाराज पाण्डु शिकार खेलने वन गए।झाडियों के पीछे कुछ हिल रहा था। मृग है सोचकर राजा ने बाण चलाया जो जाकर ऋषि किन्दम और उनकी पत्नी को लगा।वे दोनो रति-क्रीड़ा में लिप्त थे।

जब राजा ने उन्हें देखा तो बहुत दुखी हुए कि ये मुझसे क्या पाप हो गया।बहुत क्षमा याचना के बाद भी किन्दम ऋषि ने पाण्डु को श्राप दे दिया कि जब भी वो किसी स्त्री को काम भावना से स्पर्श करेंगे उसी क्षण उनकी मृत्यु हो जाएगी।पश्चाताप करने, वे सिंहासन पे अन्धे राजा धृतराष्ट्र को बैठाकर...


..स्वयं अपनी रानियों कुंती व माद्री के साथ वन चले गए।पांडवों का जन्म भी कुंती को ऋषि दुर्वासा द्वारा दिए गए मंत्र से हुआ था जिसमे किसी भी देव का स्मरण कर उस देव से कुंती,पुत्र प्राप्त कर सकती थी।एक बार माद्री पे मोहित हो जब पांडु ने उसे स्पर्श किया,उसी क्षण पांडु की मृत्यु होगयी।


2) उर्वशी का अर्जुन को श्राप

महाभारत युद्ध से पहले जब अर्जुन दिव्यास्त्र प्राप्त करने स्वर्ग गए तो वहां उर्वशी नाम की अप्सरा उन पर मोहित हो गयी। अर्जुन ने जब उन्हें अपनी माता के समान बताया तो यह सुनकर उर्वशी क्रोधित हो गयी और अर्जुन को श्राप दे डाला कि तुम नपुंसक की भांति...