Indian Knowledge System (IKS): Concepts and Applications in Engineering

Comprehensive vocabulary flashcards covering the core concepts, historical texts, mathematical breakthroughs, architectural styles, and engineering traditions of the Indian Knowledge Systems (IKS) lecture series.

Delhi Iron Pillar

An ancient metallurgical marvel located near Qutub Minar in Delhi weighing approximately $6000\,\text{kg}$ and dating back over $1500$ years that has resisted corrosion and rust.

Wootz Steel

An advanced ancient Indian steel known for its high durability and specialized metallurgical properties, historically exported and used to forge legendary Damascus blades.

Panchaloha

A traditional five-metal alloy composed of gold, silver, copper, zinc, and lead used to cast sacred idols via the lost-wax technique dating back over $1500$ years.

Sena Chiti

Sacrificial Vedic altars, some dating back over $2000$ years, constructed using precise geometric configurations, numbers, and mathematical alignments.

Chaturdasha Vidyasthana

A foundational $14$-part classification scheme organizing Sanatan Dharma literature, encompassing the Vedas, Vedangas, Puranas, Itihasas, Dharma Sutras, Smritis, and Mimamsa texts.

Western Universalism

The framework described by Rajiv Malhotra that posits Western history, philosophy, and science as the single global standard, leading non-Western cultures to judge themselves against Western benchmarks.

Cultural Digestion

A civilizational process highlighted by Rajiv Malhotra wherein a dominant culture assimilates ideas and innovations from another civilization while stripping away and erasing the original tradition's identity.

Veda

A term derived from the Sanskrit root meaning 'to know,' denoting the foundational canonical literature of eternal spiritual and practical knowledge revealed to rishis in deep contemplation.

Shruti

A Sanskrit term meaning 'that which is heard,' referring to the oral preservation and transmission tradition of the Vedas across generations.

Karma Kanda

The division of the Vedic corpus that details rituals, sacrificial procedures, and rules for daily living from morning to evening.

Upasana

The section of the Vedic corpus dedicated to developing single-pointed focus through targeted meditation and contemplation.

Jnana Kanda

The philosophical division of the Vedas focusing on transcendental inquiry into the self, Brahman, nature, and the cosmos.

Brahmagana

One of the four officiator groups in a Vedic Yajna, affiliated with the Atharvaveda tradition, whose primary responsibility is overall supervision and quality control of the ritual.

Samhita

The foundational core portion of each Veda, consisting of collections of sacred mantras and hymns arranged in metrical poetry.

Brahmanas

Vedic prose texts that constitute approximately $60\%$ to $70\%$ of Vedic literature, containing elaborate procedural instructions and technical guidelines for sacrificial rites.

Aranyakas

Vedic texts meaning 'pertaining to the forest,' studied in seclusion to explain the philosophical, esoteric, and symbolic dimensions of ritual actions.

Upanishads

The philosophical treatises of the Vedic corpus that address ultimate questions concerning the nature of Brahman, Atma Vidya (knowledge of the self), death, and liberation.

Vedangas

The six auxiliary disciplines or 'limbs of the Vedas' essential for the accurate pronunciation, grammar, interpretation, metric recitation, and ritual timing of Vedic texts.

Shiksha

The Vedanga focusing on phonetics and the science of pronunciation, analyzing the articulation of sound units (varnas) via vocal organs to safeguard mantras against corruption.

Vyakarana

The Vedanga governing grammatical structure, syntax, and linguistic derivation in Sanskrit, systematized algorithmically by Panini in the Ashtadhyayi around $600\,\text{BCE}$.

Nirukta

The Vedanga dedicated to etymology and lexicography, authoritatively expounded by Yaska in the $5\text{th}\,\text{century BCE}$ to decode obscure and archaic Vedic vocabulary.

Nighantu

A categorized thesaurus-like glossary of Vedic synonyms, polysemic words, and names of deities utilized within the study of Nirukta.

Chandas

The Vedanga that studies poetic metrics and prosody in Vedic verses, ensuring rhythmic cadence and helping detect syllable omissions or additions.

Kalpa

The Vedanga functioning as an operational manual for Vedic ceremonies and personal duties, divided into Shrauta, Shulba, Grihya, and Dharma Sutras.

Shulba Sutras

Ancient geometric texts within the Kalpa Vedanga (composed c. $800\text{--}500\,\text{BCE}$) detailing rope geometry, the Pythagorean theorem, irrational number approximations, and altar constructions.

Jyotisha (Vedanga)

The astronomical limb of the Vedangas designed specifically to calculate celestial movements and establish auspicious calendar timings for Vedic rituals, excluding personal horoscope predictions.

Shunya

The Sanskrit concept for void or zero, identified by Pingala in the $2\text{nd}\,\text{century BCE}$ Chanda Sastra and later formalized as a numeral with its symbol by Brahmagupta in $628\,\text{CE}$.

Dhanusha

A standard unit of length found in the Arthashastra and Indus-Saraswati archaeology, existing as a normal dhanush ($96\,\text{angulas}$) and a garhapatya dhanush ($108\,\text{angulas}$).

Bhūta-Saṃkhyā

An ancient Indian mnemonic number-encoding system that substitutes digits ($0\text{--}9$) with common words, deities, or natural entities sharing that count, decoded from right to left.

Kaṭapayādi System

An alphasyllabic numeral system that maps Sanskrit consonants to decimal digits ($0\text{--}9$), prominently used in South India and Carnatic music to index the $72$ Melakarta ragas.

Aryabhata Numeration System

A $6\text{th}\text{-century}$ notation invented by Aryabhata that maps Varga consonants ($1\text{--}25$), Avarga consonants ($30\text{--}100$), and vowels to powers of ten, representing values up to $10^{18}$.

Kuttaka

The 'pulverizer' algorithmic method developed by Aryabhata to determine integer solutions for first-degree linear indeterminate equations.

Aryabhatiya

A seminal $499\,\text{CE}$ Sanskrit mathematical and astronomical treatise by Aryabhata comprising four padas: Gitikapada, Ganitapada, Kalakriyapada, and Golapada.

Jya and Kojya

Sanskrit trigonometric functions referring to the half-chord and cosine respectively, which gave rise to the modern terms 'sine' and 'cosine' via Arabic and Latin translations.

Brahmasphutasiddhanta

A comprehensive $628\,\text{CE}$ mathematical and astronomical text by Brahmagupta that formalized algebraic operations on zero and negative numbers.

Brahmagupta's Formula

A geometric equation for the area of an inscribed cyclic quadrilateral: $\text{Area} = \sqrt{(s-a)(s-b)(s-c)(s-d)}$, where $s = \frac{a+b+c+d}{2}$.

Gurutva

The term used by Brahmagupta to conceptualize terrestrial gravity as an inherent attractive force pulling bodies toward the Earth.

Lilavati

A celebrated $12\text{th}\text{-century}$ treatise on arithmetic and geometry composed in poetic Sanskrit verse by Bhaskara II.

Bijaganita

A major algebraic work by Bhaskara II that details solutions to quadratic, cubic, quartic, and indeterminate equations.

Siddhanta Shiromani

The master mathematical and astronomical opus of Bhaskara II, divided into four sections: Lilavati, Bijaganita, Ganitadhyaya, and Goladhyaya.

Khandameru

A combinatorial diagram formulated by Bhaskara II that predated the European discovery of Pascal's triangle by several centuries.

Kerala School of Mathematics and Astronomy

A mathematical lineage flourishing from the $14\text{th}$ to $18\text{th}$ centuries, founded by Madhava of Sangamagrama, which pioneered infinite series and foundational calculus concepts.

Madhava-Leibniz Series

The infinite series expansion for the arctangent function and $\frac{\pi}{4}$, formulated by Madhava of Sangamagrama centuries prior to European rediscovery by James Gregory and Gottfried Leibniz.

Tantrasamgraha

A major $1500\,\text{CE}$ astronomical treatise by Nilakantha Somayaji presenting improved trigonometric series and an advanced geocentric planetary model.

Yuktibhāṣā

A landmark $16\text{th}\text{-century}$ mathematical work written by Jyesthadeva in Malayalam prose, providing rigorous analytical proofs and rationales for calculus and trigonometry concepts.

Garbhagriha

The 'womb chamber' or innermost sanctum sanctorum of a Hindu temple that houses the principal deity.

Mandapa

A pillared outdoor or pillared entrance hall in Hindu temple architecture used for public assembly, music, and devotional rituals.

Shikhara

The curvilinear, mountain-like superstructure erected above the sanctum in North Indian Nagara temple architecture.

Vimana

The stepped pyramidal tower constructed above the sanctum in South Indian Dravidian temple architecture.

Gopuram

A monumental, elaborately sculpted entrance gateway tower characteristic of South Indian Dravidian temple compounds.

Vesara Style

A hybrid architectural idiom that emerged in the Deccan region post-$750\,\text{CE}$, synthesizing features of both Northern Nagara and Southern Dravida styles.

Brihadeeshwara Temple

A granite architectural marvel in Thanjavur featuring a $99\text{-foot}$ vimana, an $80\text{-ton}$ single-stone dome, and resonant musical pillars producing seven notes.

Kailasa Temple (Ellora)

A monolithic rock-cut Hindu temple complex excavated top-down from a single basalt cliffside by Rashtrakuta King Krishna I.

Dandaka

A classic grid-based town planning layout in Vastu Shastra characterized by straight streets intersecting strictly at right angles.

Karmukā

A traditional town layout patterned in the shape of a bow, specifically designed for coastal and riverine settlements.

Praṣṭhāra

A couch-shaped urban town planning design described in Vastu Shastra and exemplified in historical layouts such as Jaipur.

Ahar-Pyne System

A traditional indigenous rainwater harvesting and flood management system originating in the Mauryan period, utilizing catchment retention basins (ahars) and diversion channels (pynes).

Navik

The ancient Sanskrit term denoting a ship navigator or pilot, recorded in Vedic texts alongside marine terminology like 'artya' (oar).