The art of Navigation--->RigVeda

Concept of indivisible Atoms--->Adi ShankaraCharya

Concept of Pulsating Universe--->RigVeda

Defying Gravity 'n making invisible Objects--->Vimana Shastra

Theory of Energy Conservation--->Karma Theory

Law of Gravitation--->BrahmaGupta

Light rays bend near a massive object--->RigVeda

Distance between the Earth and the Sun--->RigVeda

Distance between the Earth and the Moon--->RigVeda

Evolution of Life--->Manusmriti

Usage of Smallest(1 millionth of second) and largest(~400 Trillion years)
fraction of time--->RigVeda

Taylor Series of Sine 'n Cosine functions--->Madhavacharya

Newton Power Series--->Madhavacharya

Gregory Leibnitz series for the Inverse Tangent--->Madhavacharya

Leibtnitz power series for PI--->Madhavacharya

Time taken by the Earth to orbit the Sun--->Bhaskaracharya

Examples 'n usage of Infinity and Zero--->Bhaskaracharya II

Arithmetic 'n Geometric Progression--->Yajurveda

Gauss Interpolation formula--->GovendaSwamin

Newton Gauss Backward Interpolation formula--->Vateswaracharya

Lhuiler’s formula--->Parameswaracharya

Infinite Geometric Progression convergent series--->Nilakanta

Positive and negative numbers--->Brahmagupta

HelioCentric theory of Gravitation--->Aryabhatta

Value of PI and Pythagorean theorem--->Boudhayana

Algebra, Trigonometry, Calculus, Quadratic equations---> Sridharacharya

Surgery and usage of anaesthesia, surgical instruments--->Maharshi Sushruta

Detailed knowledge of anatomy, physiology, aetiology, embryology, digestion, metabolism, genetics 'n immunity.

Zinc distillation

Drilling of human teeth-->Mehrgarh Culutre

The Art of Sex--->KamaSutra

The oldest names of "astronomical" numbers such as quadrillions and
quintillions ---> RigVeda

The aquatic life precedes the monkey life" and that "the monkey life is the precursor of the human life --> Brihat Vishnu Purana

Chemical processes associated with the dying of textiles and extraction of metals --> Ancient India

The use of mordants (in dyeing) and catalysts (in metal-extraction/purification) --> Ancient India

Arithmetic operations ---> Narad Vishnu Purana

Description about Ellipses ---> Surya Prayapti

Square root of 2, squaring a circle, dividing a segment into seven equal parts ---> Apasthamba's sutra

Irrational numbers ---> Ancient India

Permutations ---> Bhagvati Sutras

combinations ---> Sathananga Sutra

Infinite numbers ---> Anuyoga Dwara Sutra

The law of indices and Base System ---> Anuyoga Dwara Sutra

Knowledge of the tides and the stars ---> Ancient India

Circumference of the Earth and the lenght of the SOlar year and
instantaneous motion of the moon ---> Aryabhatta

Calculation of Sine Function, Lunar Crescent ---> Bhaskar I

Calculation of nCr and solutions to quadratic indeterminate equations ---> Varahamira

Least Common Multiple, Area of an ellipse ---> Mahaviracharya

Ratios, barter, simple interest, mixtures, purchase and sale, rates of travel, wages, and filling of cisterns, arithmetic and geometric progressions, including progressions with fractional numbers or terms, and formulas for the sum of certain finite series ----> Sridhara

Study of the sphere and it's properties and applications to geography, planetary mean motion, eccentric epicyclical model of the planets, first visibilities of the planets, the seasons, the lunar crescent, sin(a + b) = sin a cos b + cos a sin b; sin(a - b) = sin a cos b - cos a sin b;etc ---> Bhaskaracharya

Expansion of the cos and sine functions ---> Madhava

Integer solutions to 21 types of systems of 2 algebraic equations ---> Chitrabhanu

physical properties of different types of plants and natural substances -->Vaisheshikas

Molecular groupings and Molecular/atomic motion and Sound properties like (echos, pitch, tonem harmonics, musical theory) ---> Prasastapada

Concept of Light Illumination ---> Susruta

Wave nature of Light and Sound ---> Chakrapani

Particle nature of Light ---> Mimamsakas

Reflection of Light ---> Varahamihira

Phenomenon of Shadows and opacity of materials ---> Vatsyayana

Refraciton of Light ---> Uddyotakara

Linear, Rotary, Curvilinear motion, quantifications of the laws of motion. --->Prasastapada

Velocity = distance/time --->Bhaskaracharya

Phenomenon of Magnetism --->bhoja

Phenomenon of Electrostatic Attraction, concept of kinetic energy, the process of boiling to evaporation, capillary motion, surface tension, viscosity ---> Shankara Misra

Concept of Solar heat ---> Udayana

Irrigation canals, wells of different types, storage tanks and a variety of water-harvesting techniques ---> Ancient India

Revolving water spray for cooling the air ---> ArthaShastra

A model to predict earthquakes ---> Varahamihira's Brihat Samhita

Architecture of houses and palaces ---> RigVeda

First Calendar ---> Vedas

Elliptical motion of planets around the Sun ---> Aryabhatta

[ Mrujjalashikhivaayumayo Bhoogola: sarvatho vruttha ]
Meaning: Earth which is made of soil, water, fire and air is circular when viewed from all sides. i.e., The Earth is spherical ---> Aryabhatta

[ Bhakthe vilomavivare gathiyogenaanulomavivare dvow, Gathyantharena labdow dviyogakaalaavatheethaishyow ]
Meaning: If two objects are traveling in opposite directions, the time required for them to meet is equal to the distance between them divided by the sum of their speeds. If they travel in the same direction the time that has elapsed equals the distance between them divided by the difference in their speeds --->Aryabhatta

• The value of "pi" was first calculated by the Indian Mathematician Budhayana, and he explained the concept of what is known as the Pythagorean Theorem. He discovered this in the 6th century, long before the European mathematicians.
• Algebra, Trigonometry and Calculus also originated in India.Quadratic Equations were used by Sridharacharya in the 11th century.
• The largest numbers the Greeks and the Romans used were 106 whereas Hindus used numbers as big as 10*53 (i.e. 10 to the power of 53) with specific names as early as 5000 B.C.during the Vedic period.Even today, the largest used number is Terra: 10*12(10 to the power of 12).
• Until 1896, India was the only source of diamonds in the world (Source: Gemological Institute of America).
• The Baily Bridge is the highest bridge in the world. It is located in the Ladakh valley between the Dras and Suru rivers in the Himalayan mountains. It was built by the Indian Army in August 1982.
• Sushruta is regarded as the Father of Surgery. Over2600 years ago Sushrata & his team conducted complicated surgeries like cataract, artificial limbs, cesareans, fractures, urinary stones, plastic surgery and brain surgeries.
• Usage of anaesthesia was well known in ancient Indian medicine. Detailed knowledge of anatomy, embryology, digestion, metabolism,physiology, etiology, genetics and immunity is also found in many ancient Indian texts.
• India exports software to 90 countries.
• The four religions born in India - Hinduism, Buddhism, Jainism, and Sikhism, are followed by 25% of the world's population.
• Jainism and Buddhism were founded in India in 600 B.C. and 500 B.C. respectively.
• Islam is India's and the world's second largest religion.
• There are 300,000 active mosques in India, more than in any other country, including the Muslim world.
• The oldest European church and synagogue in India are in the city of Cochin. They were built in 1503 and 1568 respectively.
• Jews and Christians have lived continuously in India since 200 B.C. and 52 A.D. respectively
• The largest religious building in the world is Angkor Wat, a Hindu Temple in Cambodia built at the end of the 11th century.
• The Vishnu Temple in the city of Tirupathi built in the 10th century, is the world's largest religious pilgrimage destination. Larger than either Rome or Mecca, an average of 30,000 visitors donate $6 million (US) to the temple everyday.
• Sikhism originated in the Holy city of Amritsar in Punjab. Famous for housing the Golden Temple, the city was founded in 1577.
• Varanasi, also known as Benaras, was called "the Ancient City" when Lord Buddha visited it in 500 B.C., and is the oldest, continuously inhabited city in the world today.
• India provides safety for more than 300,000 refugees originally from Sri Lanka, Tibet, Bhutan, Afghanistan and Bangladesh, who escaped to flee religious and political persecution.
• His Holiness, the Dalai Lama, the exiled spiritual leader of Tibetan Buddhists, runs his government in exile from Dharmashala in northern India.
• Martial Arts were first created in India, and later spread to Asia by Buddhist missionaries.
• Yoga has its origins in India and has existed for over 5,000 years.

What do you seek, My Countrymen? Do you desire that I build for you gorgeus palaces, decorated with words of empty meanings, or Temples roofed with dreams? Or do you command me to destroy what the liars and tyrants have built? Shall I up root with my fingers what the hypocrites and the wicked have implanted? Speak your insane wish!

What is it you would have me do, my countrymen? Shall I purr like the kitten to satisfy you, or roar like the lion to please myself? I have sung for you, but you did not dance; I ahve wept before you, but you did not cry. Shall I sing and weep at the same time?

Your souls are suffering the pangs of hunger and yet thr fruit of knowledge is more plentiful than the stones of valleys.

Your hearts are withering from thirst, and yet the springs of life are streaming about your home - Why do you not dring?

The sea has its ebb and flow, the moons has its fullness and cresents, and the ages have their winter and summer, and all things vary like the shadow of an unborn god moving between Earth and Sun, but truth cannot be changed, nor will it pass away;

Why then do you enfeavor to disfigur its countenance?