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Hemachandra

Hemachandra is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Hemachandra rather than just read about it. In short: Hemachandra (c. 1088 – c. 1172/1173) was a 11-12th century Śvetāmbara Jaina ācārya, scholar, poet, mathematician, philosopher, yogi, grammarian, law theorist, historian, lexicographer, rhetorician, logician, and prosodist. Noted as a prodigy by his contemporaries, he gained the title kalikālasarvajña, "the knower of all knowledge in his times" and is also regarded as father of the Gujarati language.

Hemachandra — main illustration
Hemachandra — illustration

Key takeaways

  • Hemachandra belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Hemachandra to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Hemachandra from memory before moving on to harder problems.

Reference excerpt

Hemachandra (c. 1088 – c. 1172/1173) was a 11-12th century Śvetāmbara Jaina ācārya, scholar, poet, mathematician, philosopher, yogi, grammarian, law theorist, historian, lexicographer, rhetorician, logician, and prosodist. Noted as a prodigy by his contemporaries, he gained the title kalikālasarvajña, "the knower of all knowledge in his times" and is also regarded as father of the Gujarati language. Born as Caṅgadeva, he was ordained in the Śvetāmbara school of Jainism in 1110 and took the name Somacandra. In 1125 he became an adviser to King Kumārapāla and wrote Arhannīti, a work on politics from Jaina perspective. He also produced Triśaṣṭi-śalākā-puruṣacarita (“Deeds of the 63 Illustrious Men”), a Sanskrit epic poem on the history of important figures of Jainism. Later when he was consecrated as ācārya, his name was changed to Hemacandra.

Early life Hemacandra was born in Dhandhuka, in present-day Gujarat, on Kartika Sud Purnima (the full moon day of Kārtika month). His year of birth differs according to sources but 1088 is generally accepted. His father, Cāciga was a Moḍha Bania. His mother, Pāhini, was a Jaina. Hemacandra's birth name was Caṅgadeva. In his childhood, the Jaina monk Devacandra Sūri visited Dhandhuka and was impressed by the young Hemacandra's intellect. His mother and maternal uncle concurred with Devachandra, in opposition to his father, that Hemacandra be a disciple of his. Devachandra took Hemacandra to Khambhat, where Hemacandra was placed under the care of the local governor Udayana. Cāciga came to Udayana's place to take his son back, but was so overwhelmed by the kind treatment he received, that he decided to willingly leave his son with Devachandra. Some years later, Hemacandra was initiated a Jaina monk on Magha Śukla Chaturthī (4th day of the bright half of Magha month) and was given a new name, Somacandra. Udayana helped Devacandra Suri in the ceremony. He was trained in religious discourse, philosophy, logic and grammar and became well versed in Jaina and non–Jaina scriptures. At the age of 21, he was ordained an acārya of the Śvētāmbara school of Jainism at Nagaur in present-day Rajasthan. At this time, he was named Hemacandra Suri.

Hemacandra and Siddharaja

At the time, Gujarat was ruled by the Chaulukya dynasty from Aṇahilavāda (Patan). It is not certain when Hemacandra visited Patan for the first time. As Jain monks are mendicants for eight months and stay at one place during Chaturmas, the four monsoon months, he started living at Patan during these periods and produced the majority of his works there. Probably around 1125, he was introduced to Jayasiṃha Siddharāja (fl. 1092–1141) and soon rose to prominence in the Caulukya royal court. According to the Prabhavakacarita of Prabhācandra, the earliest biography of Hemacandra, Jayasiṃha spotted Hemacandra while passing through the streets of his capital. The king was impressed with an impromptu verse uttered by the young monk. In 1135, when Siddharāja conquered Malwa, he brought the manuscripts of Bhoja from Dharā aalong with other things. One day Siddhraja came across the manuscript of SarasvatiīKanṇṭaābharanṃ (also known as the Lakshana Prakash), a treatise on Sanskrit grammar. He was so impressed by it that he told the scholars in his court to produce a grammar that was as easy and lucid. Hemachandra requested Siddharaja to find the eight best grammatical treatises from Kashmir. He studied them and produced a new grammar work in the style of Pāṇini's Aṣṭādhyāyī. He named his work Siddha-Hema-Śabdanuśāśana after himself and the king. Siddharaja was so pleased with the work that he ordered it to be placed on the back of an elephant and paraded through the streets of AnṇaiīwdvāḍaPatan. Hemacandra also composed the Dvyasśaya Kāvya, an epic on the history of the Chaulukya dynasty, to illustrate his grammar.

Hemacandra and Kumārapāla

According to the Prabhācandra, there was an incident where Siddharāja wanted to kill his nephew Kumarāpala because it was prophesied that the kingdom would meet its demise at Kumarapāla's hands. Hemacandra hid Kumarapāla under a pile of manuscripts to save him. However, such motifs are common in Indian folk literature, so it is unlikely it was an actual historical event. Also, many sources differ on Siddharāja's motives.

Hemacandra became the advisor to Kumārapāla. During Kumarapala's reign, Gujarat became a center of culture. Using the Jaina approach of Anekantavada, Hemacandra is said to have displayed a broad-minded attitude, which pleased Kumārapāla. Kumārapāla was a Shaiva and ordered the rebuilding of Somnath at Prabhas Patan. Some Hindu saints who were jealous of Hemacandra's rising popularity with the Kumārapāla complained that Hemacandra was a very arrogant person, that he did not respect the vedic deities and that he refused to bow down to Hindu God Shiva. When called upon to visit the temple on the inauguration with Kumārapāla, Hemacandra readily bowed before the lingam but said:"भवबीजाङ्कुरजनना रागाद्याः क्षयमुपगता यस्य। ब्रह्मा वा विष्णुर्वा हरो जिनो वा नमस्तस्मै॥ I bow down to him who has destroyed the passions like attachment and malice which are the cause of the cycle of birth and death; whether he is Brahma, Vishnu, Shiva or Jina. Ultimately, the king became a devoted follower of Hemacandra and a champion of Jainism. Starting in 1121, Hemacandra was involved in the construction of the Jain temple at Taranga. His influence on Kumārapāla resulted in Jainism becoming the official religion of Gujarat and animal slaughter was banned in the state. The tradition of animal sacrifice in the name of religion was completely uprooted in Gujarat. As a result, even almost 900 years after Hemacandra, Gujarat still continues to be a predominantly lacto-vegetarian state, despite having an extensive coastline.

Death He announced about his death six months in advance and fasted in his last days, a Jaina practice called sallekhana. He died at Aṇahilavāḍa Patan. The year of death differs according to sources but 1173 is generally accepted.

Works A prodigious writer, Hemacandra wrote grammars of Sanskrit and Prakrit, poetry, prosody, lexicons, texts on science and logic and many branches of Indian philosophy.

Jain philosophy

His systematic exposition of the Jain path in the Yogaśāstra and its auto-commentary is a very influential text in Jain thought. According to Olle Quarnström it is "the most comprehensive treatise on Śvetāmbara Jainism known to us".

Grammar

… excerpt ends here. Continue reading the full article.

Illustrations

Hemachandra illustration
Hemachandra illustration
Hemachandra: Bust of Hemacandra at Hemchandracharya North Gujarat University
Bust of Hemacandra at Hemchandracharya North Gujarat University
Hemachandra: Idol of Hemacandra at Jain Center of New Jersey, US
Idol of Hemacandra at Jain Center of New Jersey, US
Hemachandra: A 12th-century manuscript of Hemacandra's Yogasastra in Sanskrit. The text is notable for using 1 mm miniaturized Devanagari script.
A 12th-century manuscript of Hemacandra's Yogasastra in Sanskrit. The text is notable for using 1 mm miniaturized Devanagari script.

Worked examples

Example 1 — a first encounter with Hemachandra

Start with the simplest possible case. Write down what Hemachandra claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Hemachandra before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Hemachandra ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Hemachandra

In research
Hemachandra appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Hemachandra in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Hemachandra is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1080s births, 1172 deaths, 12th-century Indian Jain writers, so understanding it makes those chapters shorter.
In everyday life
Look for Hemachandra outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Hemachandra in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Hemachandra means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Hemachandra out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Hemachandra in simple terms?

Hemachandra (c. 1088 – c. 1172/1173) was a 11-12th century Śvetāmbara Jaina ācārya, scholar, poet, mathematician, philosopher, yogi, grammarian, law theorist, historian, lexicographer, rhetorician, logician, and prosodist. Noted as a prodigy by his contemporaries, he gained the title kalikālasarvaj…

Why does Hemachandra matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Hemachandra?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Hemachandra.

Tags

  • 1080s births
  • 1172 deaths
  • 12th-century Indian Jain writers
  • 12th-century Indian historians
  • 12th-century Indian mathematicians
  • 12th-century Indian monks
  • 12th-century Indian philosophers
  • 12th-century Indian poets
  • 12th-century Jain monks
  • 12th-century Jain poets
  • Fibonacci numbers
  • Gujarati-language writers

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