ISAAC NEWTON , THE CALCULUS THIEF -- CAPT AJIT VADAKAYIL

ISAAC NEWTON- PATENTER OF STOLEN KNOWLEDGE

The whole world is under the impression that Isaac Newton is the father of Calculus.


The truth is that Calculus was understood and practised in Malabar of India which had the School of Astronomy and Mathematics , even before Christ was born.  It was used to express Vedic physical laws in mathematical terms, and to calculate rates of change in Astronomy and Astrology.

Calicut my hometown was the Capital of Malabar, where Vasco da Gama landed in 1498.  St Thomas ( disciple of Jesus ) had died in Malabar.


The great Pyramids of Egypt was designed by architects proficient in Astronomy and Vaastu from Calicut, with tunnels from the Pharaoh's chamber at 90 degrees between Alnilam of Orion belt and the North star..


Aryabhatta born in Kerala ( my home state ) in 2700 BC, was one of the early members of this school.  Aryabhatta was the first to calculate Pi of 3.1416 and the solar year of 365.358 days . He propounded a heliocentric universe 4200 years before Copernicus, with elliptically orbiting planets and a spherical earth spinning on its axis explaining the motion of the heavens. He was the father of plane / spherical Trigonometry and Algebra, when Europe was in the dark ages.. Today you don't see this pioneers name in the list of top 100 mathematicians.

Aryabhatta was the first to compute the circumference of the earth, with an error of just 64 miles.. Aryabhatta gave a method to find the cube root of numbers and dealt with arithmetic,geometric and indeterminate equations in algebra. He dealt with square, cube, triangle, trapezium, circle and sphere in geometry. He was called Arjehir by the Arabs. 

Poor Galileo did a Aryabhatta 4 millenuims years later , that the earth is round and circles the sun , and the church blinded him , so that he can never look into another telescope .

Calculus was developed and many books were written . The lineage of the Calculus Mathematicians of the Kerala school are as below.

Parameshwara's book of Calculus , including Drigganita was available even to the Arabs. The East India company was based in Calicut. 

There were several Europeans like Fillippo Sasetti who came to Kerala to study Sanskrit in the end of the 15th century. It was this Italian who revealed the vicious and secret Portuguese Inquisition ordered by St Francis Xavier , in Goa, to the Western world.  Apparently Italians in those days , did NOT like the Portuguese. And finally it was the British who stopped this for good.




Sanskrit was the language of the Vedic civilization which flourished on the banks of the river Saraswati from 9000 BC to 4000 BC, when the river suddenly became non-perennial due to tectonic shifts blocking the glacial mouth. Mathematics was born in India before 4000 BC. Rig veda was written in 5000 BC.

The Dutch East Indian Company was in Calicut in 1602, parleying with our king Zamorin. 

Even before that in 1580 Matteo Ricci borrowed Calculus Malayalam texts from Calicut kings in 1580, never to return it. ( those days there were NO fax or photostat machines ). Whish and Hyne stole Calculus texts  from Trichur Temple Library a few years later.

They took Calculus to Europe , from where the likes of Gottfried Wilhelm Von Liebniz , Isaac Newton and Robert Hooke raced with each other to translate , re-invent and market it in their own names, in a acrimonious manner. 




Newton wrested the honours finally. 




He has admitted slyly though, that he sat on the shoulders of giants while inventing Calculus.  Even today the world media , press and  scientific community thinks he told that,  to maliciously finger his competitor Robert Hooke who was a physically challenged humpback.




He copied his laws of gravity from "Surya Sidhanta" the great Sanskrit astronomical work written in the Vedic age . Reproduced in another written text by Bhaskara , 1200 years before Newton it clearly explains gravity without an apple. However Vedic gravity was a push ( after observing the solar eclipse ) and NOT a pull.  


I would say Newton " did a Pythagoras" who copied his theorem from the great Sanskrit mathematics text Baudhayana Sulba Sutra, published thousands of years earlier. Or probably he "did a Copernicus" who stole from Aryabhatta .

It was John Wallis , while he was the keeper of Oxford Univeristy archives who first started pondering over translated Mathematics stolen from India.  

John Wallis patented Vedic Math infinity and infinitesimal ( Vishnu reclining in horizontal 8 position ) in his own name.  Rest he could NOT understand .  What ever he could make head or tail of, he included in his Arithmatica Infinitorum and Treatise on Algebra.

His baton was taken over by Isaac Barrow, who tutored Isaac Newton in Kerala Calculus.

Ancient Indians hardly understood the need to patent mathematical and astronomical knowledge ( like pathetic Edison , who took out more patents for the Phonograph that the actual numer of parts it contains -- out of which 6 are for -- hold your breath -- the wooden cabinet!!). 


Has anybody heard of Shakuntala Devi who has beaten every super computer in the world in Mathematical speed?  This is normal for experts in Indian Vedic Mathematics, the only difference is that she has taken the effort to travel abroad and impress and WOW the Western Universities.


This is how fast the ancient sages did complex Astronomical calculations by way of 3D graphs ,Spherical Trigonometry and Calculus --


they were a million Srinivasan Ramanujams rolled into one. Ramanujam is just one of those who travelled to England under invitation. His mathematical theorems were all done in his high IQ mind. 


Put both these names into Google search--after that your respect for thief Newton and party will come down by a million notches to below chart datum.

The VIBGYOR sunlight spectrum of Newton can still been seen in Indian temples made in BC, along with amazing pinhole cameras .  These rainbow colours were given to the 7 Chakras of the human body as early as 9000 BC.  

Newton is indeed the King of thieves, like how Maradona is the King of soccer.

Newtons laws of motion were lifted from the Sanskrit texts of 4000 BC and Aryabhatta’s written work in 2700 BC in Sanskrit.. Newton of course had NO dang idea of quantum consciousness-- nor the intelligence to comprehend it..

Newtons gravity laws whig makes attraction a sort of magnetic pull is all bullshit. It is explained in GURUTVAKARSHAN that gravity is a property of matter and akasha warp.

His second law about Force - Mass X acceleration is in several of our Vedic texts.

Newton's third law-about every action has an equal and opposite reaction is in our 5000 year old Panchantra stories--"whether a leaf falls on a thorn or a thron falls on a leaf, the effect is the same"
The mathematical proofs which Newton gave on his own ( which were not lifted ) is all bullshit!

Without understanding GURUTVAKARSHAN ,( the curvature of spacetime in a strong gravitational field and the effect on velocity -the acceleration of a radially falling object ) , and hence not having the foggest of idea what is gravity-- he published his classical gravity theories in haste just to patent the gravity knowledge --ala Calculus

Calculus was written in Malayalam atleast 200 years before Newton was born, by the Kerala school of Calculus. Calculus in Sanskrit was written 4800 years ago.

Newton did NOT have the intelligence to understand Vedic Calculus, as it used Vedic mathematics done with lightening speed. Calculus , in divisive and joining modes was used to monitor and measure Astronomical and Astrological change, without which it is impossible. 

The whole world knows about 5000 year old Indian astrology books. Both Newton and Leibniz could NOT apprecaite the FRACTAL nature of Vedic Calculus, as there were no computers in that era-- for this you need a fractal mind like that of Aryabhatta or Parameshwaran.

Recently the Freemasons got a American Jew by the name of David Bressoud elected as the President of the Mathematical association of America. This Computer science professor’s ( Macalester )  job was to go around shouting from the rooftops that Kerala Calculus was never seen by anybody outside Kerala. A small bird told him TEE HEEE!

“ Honest, guys East India company never stole Kerala Calculus and gave it to Newton.  Isaac  Newton is the old father of Calculus and I David Bressoud who is the modern father of Calculus and an expert having spontaneous knowledge ,  solemnly vouch for this  !”.

He got all the Rothschild controlled media to write this.

 The Rothschild propaganda machine Zionist Wikepedia Internet Encyclopedia is the lastest to join this diabolical chorus.

David Bressoud has been rewarded for subverting history. Who knows they might bury him between Newton and Darwin ( Rothschild stooges ) at Westminister Abbey.

"... even when Indian ideas are demonstrated to be correct there is the racist propensity to argue that the Indian understanding was just an ad hoc lucky guess -- which is perilously close to what now passes for scientific knowledge." -- Vine Deloria Jr., historian, 1997

“When Vedic ideas are proved correct, it is just dreaming , come right.    When Western work ( lifted from ancient Vedanta ) is proved right, it is scientific knowledge ” --  Nikola Tesla .

Pythogorus stole his theorem from Vedic texts 2500 years ago . Pythagoras was a student of Mathematics in India .

The 6000 year old Vedic texts taken to Palestine by King David's mistress the attractive dusky long haired Bathsheba ( Solomon's mother ) from Calicut in 3000 years ago.  A lot of these ancient palm leaf texts were recovered from the Solomon's temple at Jerusalem by the Templar Knights .

P. Johnstone: “Gravitation was known to the Hindus (Indians) before the birth of Newton. The system of blood circulation was discovered by them centuries before Harvey was heard of.”

Vedic written records are 7000 years old --as proved by Carbon dating.

Some excerpts:--  Newton lifted only whatever he could understand-- rest he thrashed --

Aryabhatta’s (2700 BC),  formula giving the tat-kalika-gati (instantaneous motion) is given by the following -

u'- v' = v' - v ± e (sin w' - sin w) (i)
where u, v, w are the true longitude, mean longitude, mean anomaly respectively at any particular time and u', v', w' the values of the respective quantities at a subsequent instant; and e is the eccentricity or the sine of the greatest equation of the orbit.

"True motion in minutes is equal to the cosine (of the mean anomaly) multiplied by the difference (of the mean anomalies) and divided by the cheda, added or subtracted contrarily (to the mean motion)."
δu = δv ± e cos θ δ θ.

Proof of the Differential Formula

Let a point P (See Fig. 1) move on a circle. Let its position at two successive intervals be denoted by P and Q. Now, if P and Q are taken very near each other, the direction of motion in the interval PQ is the same as that of the tangent at P.

Let PT be measured along the tangent at P equal to the arc PQ. Then PT would be the motion of the point P if its velocity at P had not changed direction.

"The difference between the longitudes of a planet found at any time on a certain day and at the same time on the following day is called its (sphuta) gati (true rate of motion) for that interval of time."

The tatkalika-gati (instantaneous motion) of a planet is the motion which it would have, had its velocity during any given interval of time remained uniform."

In the figure given above, let the arc PQ = A. Then
R (sin BOQ - sin BOP) = QN - PM = Qn
which is the Bhogya Khanda

Now from the similar triangles PTr and PMO

R : PT : : R cos w : Tr ................ (iii)
Tr = PT cos w.
But Tr = R(sin w' - sin w) and PT = R(w' - w)
(sin w' - sin w) = (w' - w) cos w.

Thus the Tat-kalika Bhogya Khanda (the instantaneous sine difference) in modern notation is
δ (sin θ) = cos θ δ θ.

This formula has been used by Bhaskara to calculate the ayana-valana ("angle of position").

the epithet Tat-kalika (instantaneous) gati (motion) to denote these differentials.

Theory of proportion (similar triangles) –

(1) The sine-difference sin (θ + δ θ) - sin θ varies as the cosine and decreases as θ increases.
(2) The cosine-difference cos (θ + δ θ) - cos θ varies as the sine negatively and numerically increases as θ increases.

(1) The difference of the sine-difference varys as the sine negatively and increases (numerically) with the angle.
(2) The difference of the cosine-difference varys as the cosine negatively and decreases (numerically) with the angle.

For Δ₂ (sin θ),

the differential of an inverse sine function. This result--

if T_n denotes the nth jya (or Rsine), C_n the circumference of the corresponding circle, A_n the area of the nth annulus and S the area of the surface of the sphere, then we shall have

the summation being taken so as to include all the Rsines in a quadrant of the circle. Since there are ordinarily 24 Rsines in a Hindu trigonometrical table, we have

Hence approximately
S = 21600 x 2 x 3437
Area of the surface = circumference x diameter.

If l_n denotes the length of the nth transverse arc, we have

 

Therefore,

the summation being taken so as to include all the Rsines.

Hence the area of a lune is numerically equal to the diameter of the sphere. As the number of limes is equal to the number of parts of the circumference of the sphere, we get

Area of the surface = circumference x diameter.

It pays to remember that 4600 years back,  half this planet was doing grunt grunt for language and wearing animal skins!

Rothschild , who owned British East India company gave a lot of stolen Vedic Maths and Astronomy papers in Sanskrit to their bloodline represented by German Jew Sir Frederick William Herschel ( 1738-1822 ) from Hanover. But this man was NOT smart enough. So Rothschild made a observatory for him, so that he could atleast patent the vedic Astronomical data in his name.

The British made a big hue and cry when William "discovered " Uranus on March 13th 1781--  hi hi the stupid Indians never knew all this. .  They were jubilant as Indian Vedic astrology does NOT use Uranus ( Shweta ) Neptune ( Shyama ) Pluto ( Teevra ), just because they are too far away to affect your DNA and they stay in one single rashi for too long.  Vedic rishi astrologists did NOT need a telescope, they read off from Aakashik records.

Ptolemy came to India in 155 AD, and he stole from the astronomical data from Surya Siddhanta (12.85-90) , the most significant being the diameters of Mercury, Venus, Mars, Jupiter and Saturn . You must understand that these diameters were calculated accurately more than 6 millenniums ago when even the atmospheric refraction of earth was different. 

Much before in 500 BC Pythagoras came to India and stole his theorem.

William passed over the stolen ( translated to English by Kashmiri Pandits ) papers to his son, Sir John Frederick Hershel, ( 1792-1871 ) an English citizen. He made full use of the Chemical and Botanical Vedic papers too. He also dabbled with Kerala Calculus. This man is buried next to Isaac Newton and Charles Darwin, in Westminister Abbey-- next to the English Kings--probably to ironically reveal, that these men were NOT scientists , but thieving politicians.

John send his son Sir William James Herschel ( 1833 -1917 ) to steal more, which he did --and how! He patented the ancient Indian finger printing method . The Indian Panchatantra stories, which were written 5000 years ago, have episodes of written contracts , signed by a indelible Indian ink thumb print. James was Rothschilds represenative in India, overseeing the change over after the First war of Independence ( Sepoy's mutiny ) in 1857--merrily taking finger prints all all and sundry--this man really got a kick out of all this.

THREE CHEERS TO ALL THE THREE SIR HERSCHEL JEWS!

( Sorry, you thieves never expected an Internet age, right? -- you thought your Freemason controlled peer reviewed magazines will keep your illgotten fame intact , right? )

Have a look at 7000 year old Vedic mathematics below, when the whole world was doing grunt, grunt for language, and eating raw meat, and living in caves !! 

Gravity thief Isaac Newton stole everything from GURUTWAKARSHANA the pioneering work in Sankrit of astronomer Mihira Muni ( sage Varahamihira ) in 2660 BC.  Mihira Muni was the disciple of Mathematician Aryabhatta.  Mihira Muni's observatory was at Sultan Bathery , Western Ghat mountains , Kerala --where today you can see a 3800 year old Jain temple --converted by Muslim Invader Tipu Sultan as his fort. He stayed at Kapletta at a lake by the name of Pookode lake.

Without understanding the concept of Akasha , written in Vedic texts --   he hastily propounded the " Aether Wave theory"-- and fell flat on his face when asked to explain refraction of light and diffusion. ( the same way his gravitation theory is bullshit too- little knowledge is a dangerous thing !. He escaped sarcasm till the internet age.).

7000 years before Isaac Newton wrote about the colour spectrum in his book Opticks, it was writen in Vedic science text Samba Purana--by observing water fall rainbows.

You can even see this spectrum inside our 4000 year old temples with pinhole cameras which gave inverted colour images. (Pin hole camera credit was given to Leonardo Da Vinci.)

Above is a BBC documentary on Madhavan, Aryabhatta ( they say 600 AD while it is 2700 BC ) , and Liebniz-- naturally being British ( typical amnesia ) they left our Newton.


When super genius Indian Mathematician Srinivasan Ramanujan arrived at London, he was greeted by Professor Hardy. Hardy made a innocent remark that the number of the taxi , he came in is 1729-- a boring number.

Ramanujan looked at the number plate himself and replied casually in a knee jerk manner "No, actually it is a very interesting number. .It is the smallest natural number representable in two different ways as the sum of two cubes"

--and then this brilliant man told the equation on the spot

Today the West have recorded this as the HARDY-RAMANUJAN NUMBER.

Well Hardy listened damn well, right?

What a joke!

While on this subject-- ancient Vedic 12 strand Maharishis saw numbers as FRACTAL 3D GEOMETRY like our Sri Yantra. A 2 strand DNA person like you and me can never understand what this means. Such knee jerk response for 1729 by Ramanujan is possible only by beautiful minds who can see numbers as pictures.

HERE ARE SOME CONTENTS OF VEDIC TEXTS - RIDICULED BY THE WHITE MAN AS SHEPHERD'S VERSES AND THEN THROWN INTO THE DUSTBIN ( LATER TO BE QUIETLY TAKEN ABROAD FOR PATENTING IN OWN NAME )--

JUST A FEW AMONG HUNDREDS OF BOOKS

Contents: 1 Actual Applications Of The Vedic Sutras. 2 Arithmetical Computations. 3 Multiplication. Practical Application In "Compound Multiplication" Practice And Proportion In "Compound Multiplication". 4 Division By The Nikhilam Method. 5 Division By The Paravartya Method. 6 Argumental Division Linking Note (Recapitulation And Conclusion). 7 Factorisation (Of Simple Quadratics). 8 Factorisation (Of Harder Quadratics). 9 Factorisation Of Cubics Etc. 10 Highest Common Factor. 11 Simple Equations (First Principles). 12 Simple Equations (By Sunyam Etc.)13 Merger Type Of Simple Easy Equations. 14 Complex Mergers. 15 Simultaneous Simple Equations. 16 Miscellaneous (Simple) Equations. 17 Quadratic Equations. 18 Cubic Equations. 19 Bi-Quadratic Equations. 20 Multiple Simultaneous Equations. 21 Simultaneous Quadratic Equations. 22 Factorisation And Differential Calculus. 23 Partial Fractions. 24 Integration By Partial Fractions. 25 The Vedic Numerical Code. 26 Recurring Decimals. 27 Straight Division. 28 Auxiliary Fractions. 29 Divisibility And Simple Osculators. 30 Divisibility And Complex Multiplex Osculators. 31 Sum And Difference Of Squares. 32 Elementary Squaring, Cubing Etc. 33 Straight Squaring. 34 Vargamula (Square Root). 35 Cube Roots Of Exact Cubes. 36 Cube Roots (General). 37 Pythagoras' Theorem Etc. 38 Apollonius' Theorem. 39 Analytical Conics. 

Rapid geometry techniques and calculations developed from Vedic Maths, a popularized version of "Geometry For an Oral Tradition", listed below. Contents: Angles, Triangles & Quadrilaterals; Properties of a Circle; Multiplication & Area; Parallels & Parallelograms; Similar Triangle' Equality & Equations; Number Arithemetic, Geometry & Algebra; Equal Areas & Similar Triangles; Further Properties of Circles; Pythagoras' Theorem; Proportion Congruence, Magnitudes and Lines; Part B: Angles, Parallels, Triangles And Quadrilaterals; Part C: Concerning ;Area Equalities And Similar Triangles Part D: Elementary Properties Of A Circle; COMMENTARY: Part I: Some Basics; Part II: Language And Reason; Part III: Comparisons With Euclid's Elements; Par IV: Movement In Geometry; Part V: The Valid Use Of Figures;  

Vedic Sutra or Sub-sutra and applications.   Vedic solutions to GCSE  1 All From Nine And The Last From Ten; 2 Vertically And Crosswise; 3 Proportionately; 4 By Addition And By Subtraction; 5 By Alternate Elimination And Retention; 6 By Mere Observation; 7 Using The Average; 8 Transpose And Apply; 9 One In Ratio- The Other One Zero; 10 When The Samuccaya Is The Same It Is Zero; 11 The First By The First And The Last By The Last; 12 By The Completion Or Non-Completion; 13 By One More Than The One Before; 14 The Product Of The Sum Is The Sum Of The Products; 15 Only The Last Terms; 16 Calculus; .

Mental mathematics(Vedic Maths). Introduction; 1 On The Flag Calculating From Left To Right; 2 Proportionately Multiplication Devices Involving Doubling And Halving; 3 By One More Than The One Before Squaring Numbers That End In 5; A Special Type Of Multiplication; 4 The First By The First And The Last By The Last Calculating Checks; A Special Type Of Multiplication; 5 All From 9 And The Last From 10 Numbers Near A Base; Subtraction; Numbers Near Different Bases; Multiplying Three Numbers Simultaneously; Squaring Numbers Near A Base; Multiplication By 9's; Addition And Subtraction; 6 Vertically And Crosswise General Multiplication: Multiplying 2-Figure Numbers, 3-Figure Numbers, Moving Multiplier Method, 3 And 4-Figure Multiplication; General Squaring; Division- Divisor Near A Base; General Division; 7 Using The Average Products Using An Average; 8 By Addition And By Subtraction Squares From Squares; Products From Products; 9 By Mere Observation Use Of Special Numbers; Proofs

Vedic Maths Sutra, “Vertically & Crosswise”, ranging from elementary multiplication, etc. to the solution of non-linear partial differential equations. It deals with (i) calculation of common functions and their series expansions, and (ii) the solution of equations, starting with simultaneous equations and moving on to algebraic, transcendental and differential equations. The text contains exercises and answers. Contents: 1 Introduction To The Vertically And Crosswise Sutra; 2 Combined Operations Of Elementary Arithmetic; 3 Evaluation Of Determinants; 4 The Solution Of Simultaneous Linear Equations; 5 Inversion Of Matrices; 6 Curve-Fitting; 7 Evaluation Of Logarithms And Exponentials; 8 Change Of Roots Of Equations; 9 Sine, Cosine And Inverse Tangent; 10 Inverse Sine And Cosine And Tangent; 11 Transcendental Equations; 12 Solution Of Cubic And Higher Order Equations13 Functions Of Polynomials; 14 Functions Of Bipolynomials; 15 The Solution Of Linear And Non-Linear Differential, Integral And Integro-Differential Equations; 16 The Solution Of Linear And Non-Linear Partial Differential Equations.

Contents: 1 TRIPLES: The Triple Theorem; Some Historical Background; Notation for Triples; Equal, Prime and Complementary; Triples; Some Perfect Triples;2 TRIPLE ARITHMETIC; Addition of Triples; Double Angle; Triple Subtraction; Quadrant Angles; Triple Geometry; Angles of 30°, 60°, 45° etc.; Half Angle; Simplifying Calculations; Summary. 3 TRIPLE TRIGONOMETRY: Introduction; Inverse Functions; The General Triple; Solution of Trigonometrical Equations; Further Trigonometrical Equations- A; Further Trigonometrical Equations- B; Further Trigonometrical Equations- C. 4 TRANSFORMATIONS IN A PLANE: Transposition of the Origin; Rotations; Spirals; Integration of cosx etc.; Rotation of Lines and Curves; Reflections. 5 COORDINATE GEOMETRY: Length of Perpendicular; Foot of Perpendicular; Angle between Two Lines; Equation of a Line; Further Examples. 6 CODE NUMBERS: Grouping Triples; Code Numbers; Geometrical Significance of the Code Numbers; Code Number Pairs; Code Numbers as Triples; Algebraic Formulation; Converting Code Numbers to Triples; Converting Triples to Code Numbers; Addition and Subtraction of Code Numbers; Code Numbers of Code Numbers; Code Numbers of Complementary Triples; Code Numbers of Supplementary Triples; Code Numbers for 0°, 90°, 180°, 270°; Relation between Code Numbers and Angles; Further Examples; Summary. 7 SOLUTION OF TRIANGLES: Angle Deficiency Formula; The Sine Formula; The Code Number Formula.8 FURTHER APPLICATIONS OF TRIPLES: Solution of Equations; Complex Numbers; Conics; Difference and Sum of Squares; Incircles and Circumcircles; The Golden Triple; 9 ANGLES IN PERFECT TRIPLES: Revision; Triples and Their Angles; Finding the Angle in a Given Triple; Further Applications of Code Numbers; Finding a Triple with a Given Angle; A Refinement.10 SINE, COSINE, TANGENT & INVERSES: Sine, Cosine and Tangent; Inverse Cosine and Inverse Sine; Inverse Tangent.11 HYPERBOLIC FUNCTIONS: Addition and Subtraction; Double Angle; Equations. 12 APPLIED MATHS APPLICATIONS: Simple Harmonic Motion; Projectiles; Forces in Equilibrium; Work Done by a Force and Moment of a Force. 13 THE TRIPLE METHOD: Range of Application; Deriving the Conventional Formulae; Two Comparisons of the Conventional and Triple Methods. 14 QUADRUPLES: Introduction; Quadruple Generators; Obtaining the Code Numbers of a Perfect Quadruple; The Coordinate Axes; Quadruple Subtraction; Comparative Densities of Perfect Triples and Quadruples. 15 APPLICATIONS OF QUADRUPLES: Coordinate Geometry; Work and Moment; Rotation about Coordinate axis; 3-Dimensional Rotation of Curves; Rotation Conicoids. 16 QUADRUPLES IN ASTRONOMY: Addition of Perpendicular Triples. Change of Coordinate System; Quadruples and Orbits; Quadruple for given i, A; Inclination of Orbit; Quadruple Subtraction;. Quadruple Addition; Doubling and Halving a Quadruple; Code Number Addition and Subtraction; Angle in a Quadruple; Angular Advance; Relationship between d, A; To Obtain a Quadruple with a Given Inclination. PROOFS. -INDEX OF VEDIC FORMULA 

List of Sutras and three other short but interesting sections (e.g.  Triangle,Vedic Maths, Fractals).  Vedic Mathematics.. Book 1 Basic arithmetic, proportion, decimals, basic algebra and geometry, polygons, area, volume etc

Book 2 extends this, covering fractions, probability, sequences, negative numbers, percentages, equations, graphs, charts, transformations, bearings, Vedic Maths, etc. recurring decimals, square and cube roots, division, divisibility, the musical scale, formulae, simultaneous equations, quadratic equations, proof, similar triangles, area of a circle, nets, conic sections, loci, motion, vectors, theorems, triples, coordinate geometry, Vedic Maths, etc

Contents: Introduction to Vedic Mathematics. Prediction of Eclipses: Prediction of the Times Of Contact of the Moon’s Penumbral and Umbral Shadows With the Earth. Partial Phase. Total Phase. Approximate Position of the Eclipse Path. Time of Total Eclipse For an Observer on Earth. Bessel’s Method, Early Eclipse Prediction, Solution of Eclipse Equation. Kepler’s Equation: A Transcendental Equation, Solution of Kepler’s Equation. Introduction to Triples: Notation & Combination, Triple Addition, Quadrant Triples, Rotations, Subtraction, Half-Angle Triple. Triple Code Numbers, Angles in Perfect Triples. Prediction of Planetary Positions: Heliocentric Position, Mean Anomaly, Geocentric Position, Geocentric Longitude, Geocentric Correction, Planet Finder. Spherical Triangles Using Triples: Triple Notation & Formulae for Spherical Trigonometry, Cosine Rule to Find an Angle, Sine Rule to Find Angle, Cotangent Rule to Find Angle, Polar Cosine Rule. Right Angled Spherical Triangles. Spherical Triangles Using Code Numbers. Determinants. Quadruples. Addition of Perpendicular Triples, Rotation About A Coordinate Axis. Quadruples & Orbits, Inclination of Orbit, Angle Between Two Directions. Inclination of Planetary Orbits. Calculation of Radius Vector.

Series of works on the multifaceted aspects of the Magic Square connecting it with numerous Geometric Applications and Vedic Mathematics. Contents: What is a Majik Square? MS of 3 or Lo-Shu, How to Draw MS Yantras; How To Rotate MS Yantras; MS of Order of 4 or Jupiter; Selection of 880 MS of 4; Indian Jaina MS of 4;  Square of 4; Magic Squares of the Order of 5;  MS5; Sufi MS5; MS Order of 6; Harmony Square of 6; Ancient Hindu Swastika of Peace; MS Order 7; Solutions to Harmony Squares 

Multifaceted aspects of the Magic Square connecting it with numerous Geometric Applications and Vedic Mathematics. Contents: Introduction to  Harmony Square or 8x8; Other Harmony Squares of 8x8; Construction of 8x8 Harmony Square; Ancient Brahmin’s Knight’s Tour of 8x8; Queen’s Tour; Jaina Harmony Square of 8x8; 8x8 Spiral of Triangles; Majik Square of 9x9; How to Construct By Method of TransPosition; The Uni-Centered  Squares of 5x5 & 9x9; Extended Elongated Knight’s Moves of 9x9; 9x9 Lozenge;  Composite Harmony 9x9; Construction of an Enneagon; The Shri Yantra, 9 Triangles; In Search of Patterns; Majik Square of 10x10; The Majik One Hundred; Construction & Harmonics of a Decagon; Visual Patterns In  Triangle; The Mystic Quadrature of the Circle; Solutions.

Series of works on the multifaceted aspects of the Magic Square connecting it with numerous Geometric Applications and Vedic Mathematics. Contents: Majik Square of 11x11; An Alternative Pattern Harmony Square of 11x11; The divine Signet Star; MS of 12x12; Composite MS of 12x12; 12x12 Knight’s Tour(Semi-Magic Square); 6 point Star Yantram; The Mystic Rose; Pleadian 12 Chakra Meditation; MS of 16x16; Trataka; Introducing the Visual Multiplication Table & Reduction Grids of 1&8, 2&7, 3&6, 4&5, 9; In Atomic Art of Platinum Crystal & Beryllium 

List of Sutras and three other short but interesting sections (e.g.  Triangle, Fractals). Book 1 deals mainly with basic arithmetic, proportion, decimals, basic algebra and geometry, polygons, area, volume etc. Book 2 extends this, covering fractions, probability, sequences, negative numbers, percentages, equations, graphs, charts, transformations, bearings etc. Book 3 develops this further into recurring decimals, square and cube roots, division, divisibility, the musical scale, formulae, simultaneous equations, quadratic equations, proof, similar triangles, area of a circle, nets, conic sections, loci, motion, vectors,  theorem, triples, coordinate geometry etc.   The Ten Point Circle; Multiples of Ten; Deficiency from Ten; Deficiency and Completion Together Mental Addition; Completing the Whole; Columns of Figures; By Addition and By Subtraction; Subtracting Numbers Near a Base; LESSON 2 DOUBLING AND HALVING: Doubling; Multiplying by 4, 8 Halving; Splitting Numbers; Dividing by 4, 8; Extending your Tables; Multiplying by 5, 50, 25 Dividing by 5, 50, 25; Dividing by 5; Dividing by 50, 25; LESSON 3 DIGIT SUMS: Adding Digits; The Nine Point; Circle; Casting out Nines; Digit Sum Puzzles; More Digit Sum Puzzles; The Digit Sum Check Multiplication Check; The Vedic square; Patterns from the Vedic Square; Number Nine; LESSON 4 LEFT TO RIGHT: Addition: Left to Right; Multiplication: Left to Right; Doubling and Halving; Subtraction: Left to Right; Checking Subtraction Sums; More Subtractions; LESSON 5 ALL FROM 9 AND THE LAST FROM 10: All From 9 and the Last from 10; Subtraction Adding Zeros; One Less; One More; One Less Again; Money LESSON 6 NUMBER SPLITTING: Addition; Subtraction; Multiplication; Division; LESSON 7 BASE MULTIPLICATION: Times Tables; Numbers just Over Ten; Multiplication Table Patterns; Recurring Decimals; Numbers Close to 100; Mentally; Numbers Over 100 Mental Maths; Russian Peasant; Multiplication; Larger Numbers; Numbers Above the Base; Proportionately; Another Application of Proportionately; Multiplying Numbers near Different Bases; Squaring Numbers near a Base; A Summary. LESSON 8 CHECKING AND DIVISIBILITY Digit Sum Check for Division The First by the First and the Last by the Last The First by the First The Last by the Last Divisibility by 4 Divisibility by 11 Remainder after Division by 11 Another Digit Sum Check LESSON 9 BAR NUMBERS Removing Bar Numbers All from 9 and the Last from 10 Subtraction Creating Bar Numbers Using Bar Numbers LESSON 10 SPECIAL MULTIPLICATION Multiplication by 11 Carries Longer Numbers By One More than the One Before Multiplication by Nines The First by the First and the Last by the Last Using the Average Special Numbers Repeating Numbers Proportionately Disguises LESSON 11 GENERAL MULTIPLICATION Revision Two-Figure Numbers Carries Moving Multiplier Extension Multiplying Binomials Multiplying 3-Figure Numbers Written Calculations LESSON 12 SQUARING Squaring Numbers that end in 5 Squaring Numbers Near 50 General Squaring The Duplex Number Splitting Algebraic Squaring Digit Sums of squares Square Roots of Perfect Squares 3 and 4 Figure Numbers LESSON 13 EQUATIONS One-step Equations Two-step Equations Three-step Equations LESSON 14 FRACTIONS Vertically and Crosswise A Simplification Comparing Fractions Unification of Operations LESSON 15 SPECIAL DIVISION Division by 9 Longer Numbers Carries A Short Cut Division by 8 etc. Division by 99, 98 etc. Divisor Below a Base Number Two-Figure answers Divisor Above a Base Number LESSON 16 THE CROWNING GEM Single Figure on the Flag Short Division Digression Longer Numbers Negative Flag Digits Decimalising the Remainder; SUTRAS AND SUB-SUTRAS;9-POINT CIRCLES; REFERENCES;INDEX OF THE VEDIC FORMULAE

1 Basic Devices Introduction Digit Sums Left to Right Addition Multiplication Advantages of left to Right Calcn Writing Left to Right Sums Checking Devices Subtraction Subtraction from Left to Right Checking Subtraction Sums LESSON 2 MORE BASIC DEVICES Number Splitting Addition 14 / Subtraction Multiplication 16 / Division All from 9 and the Last from 10 Subtraction from a Base Calculations Involving Money First Extension Second Extension Combining the Extensions Bar Numbers Advantages of Bar Numbers General Subtraction LESSON 3 SPECIAL METHODS Proportionately Doubling and Halving Extending the Multiplication Tables Multiplying by 5, 50, 25 All from 9 and the Last from 10: Multiplication Numbers just below 100 Geometrical Proof Algebraic Proof Other Bases Numbers above the Base One Number ABOVE and one below the Base Proportionately Multiplying Numbers near Different Bases Squaring Numbers near a Base Mental Calculations Special methods LESSON 4 BY ONE MORE THAN THE ONE BEFORE Special Multiplications Squaring Numbers that End in 5 A Variation Multiplication Summary Recurring Decimals Denominator Ending in 9 Proof A Short Cut Proportionately Longer Numerators LESSON 5 AUXILIARY FRACTIONS Auxiliary Fractions: First Type Denominators Ending in 8, 7, 6 Auxiliary Fractions: Second Type Denominators Ending in 1 Alternative Method Denominators Ending in 2, 3, 4 Working 2, 3 etc. Figures at a Time LESSON 6 VERTICALLY AND CROSSWISE Fractions Adding & Subtracting Fractions Proof A Simplification Comparing Fractions Multiplication and Division General Multiplication Revision Multiplying 2-Figure Numbers Explanation Explanation of earlier special method The Digit Sum Check Multiplying 3-Figure Numbers Moving Multiplier Algebraic Multiplications The Digit Sum Check Three-Figure Numbers Four-Figure Numbers Writing Left to Right Sums From Right to Left setting the sums out Using Bar Numbers LESSON 7 SQUARES AND SQUARE ROOTS General Squaring Two-Figure Numbers Number Splitting Algebraic Squaring Squaring Longer Numbers Written Calculations – Left to Right Written Calculations – Right to Left Square Roots of Perfect Squares LESSON 8 SPECIAL MULTIPLICATION METHODS Special Numbers Repeating Numbers Proportionately Disguises Using the Average PROOF Multiplication by Nines Multiplication by 11 Percentages Increasing Reducing LESSON 9 TRIPLES Definitions Triples for 45°, 30° and 60° Triple Addition Double Angle Variations of 3,4,5 Quadrant Angles Rotations LESSON 10 SPECIAL DIVISION Division by Nine Adding Digits A Short Cut Dividing by 8 Algebraic Division Dividing by 11, 12 etc. Larger Divisors Divisor just Below a Base A Simplification Divisor just Above a Base Proportionately LESSON 11 STRAIGHT DIVISION Single Figure on the Flag Short Division Digression Longer Numbers Multiplication Reversed Decimalising the Remainder Negative Flag Digits Larger Divisors ALGEBRAIC DIVISION LESSON 12 EQUATIONS Linear One x Term Two x Terms Quadratic Equations Simultaneous Equations By Addition and By Subtraction A Special Type General Method Another Special Type LESSON 13 APPLICATIONS OF TRIPLES Triple Subtraction Triple Geometry Angle Between Two Lines Half Angle Coordinate Geometry Gradients Circle Problems Length of Perpendicular LESSON 14 SQUARE ROOTS Squaring Square Root of a Perfect square Preamble Two-Figure Answer Reversing Squaring Three-Figure Answer Reversing Squaring General Square Roots Changing the Divisor Heuristic Proof LESSON 15 DIVISIBILITY Elementary Parts The Ekadhika Osculation Explanation Testing Longer Numbers Other Divisors The Negative Osculator LESSON 16 COMBINED CALCULATIONS Algebraic Arithmetic Pythagoras Theorem SUTRAS AND SUB-SUTRAS 9-POINT CIRCLES - INDEX OF THE VEDIC FORMULAE INDEX .

LEFT TO RIGHT CALCULATIONS 1.1 INTRODUCTION 1.2 ADDITION 1.3 MULTIPLICATION Advantages OF LEFT TO RIGHT CALCULATION 1.4 WRITING LEFT TO RIGHT SUMS 1.5 SUBTRACTION 1.6 DIGIT SUMS 1.7 CHECKING DEVICES CHECKING SUBTRACTION SUMS 1.8 ALL FROM 9 AND THE LAST FROM 10 1.8a SUBTRACTION FROM A BASE 1.8b BAR NUMBERS ADVANTAGES OF BAR NUMBERS 1.8c GENERAL SUBTRACTION LESSON 2 SPECIAL METHODS 2.1 MULTIPLICATION NEAR A BASE 2.1a Numbers just below the base 2.1.b Above the base 2.1c Above and below 2.1d Proportionately 2.1e With different bases 2.2 MENTAL CALCULATIONS 2.3 SPECIAL NUMBERS 2.3a Repeating numbers 2.3b Proportionately 2.3c Disguises 2.4 DIVISION BY NINE 2.4a Adding Digits 2.4b A Short Cut 2.4c Dividing by 8 2.4d Algebraic Division 2.4e Dividing by 11, 12 etc. LESSON 3 RECURRING DECIMALS 3.1 DENOMINATOR ENDING IN 9 3.2 A SHORT CUT 3.3 PROPORTIONATELY 3.4 LONGER NUMERATORS 3.5 DENOMINATORS ENDING IN 8, 7, 6 3.6 DENOMINATORS ENDING IN 1 3.7 DENOMINATORS ENDING IN 2, 3, 4 3.8 WORKING 2, 3 ETC. FIGURES AT A TIME LESSON 4 TRIPLES 4.1 Definitions 4.2 Triples for 45°, 30° and 60° 4.3 Triple Addition 4.4 Double Angle 4.5 Variations of 3,4,5 4.6 Quadrant Angles 4.7 Rotations LESSON 5 GENERAL MULTIPLICATION 5.1 TWO-Figure Numbers Explanation/ The Digit Sum Check 5.2 Moving Multiplier 5.3 Algebraic PRODUCTS The Digit Sum Check 5.4 Three-Figure Numbers 5.5 Four-Figure Numbers 5.6 Writing Left to Right Sums 5.7 From Right to Left setting the sums out 5.8 Using Bar Numbers LESSON 6 SOLUTION OF EQUATIONS 6.1 TRANSPOSE AND APPLY 6.1a SIMPLE EQUATIONS 6.1b MORE THAN ONE X TERM 6.2 SIMULTANEOUS EQUATIONS 6.2a GENERAL SOLUTION 6.2b Special Types 6.3 QUADRATIC EQUATIONS 6.4 ONE IN RATIO THE OTHER ONE ZERO 6.5 MERGERS 6.6 WHEN THE SAMUCCAYA IS THE SAME IT IS ZERO 6.6a Samuccaya as a common factor 6.6b Samuccaya as the Product of the Independent Terms 6.6c Samuccaya as the Sum of the Denominators 6.6d Samuccaya as a Combination or Total Proof/ EXTENSION 6.6e other typeS 6.7 THE ULTIMATE AND TWICE THE PENULTIMATE 6.8 ONLY THE LAST TERMS 6.9 SUMMATION OF SERIES 6.10 FACTORISATION LESSON 7 SQUARES AND SQUARE ROOTS 7.1 Squaring 2-FIGURE NUMBERS 7.2 Algebraic Squaring 7.3 Squaring Longer Numbers 7.4 Written Calculations 7.4a Left to Right 7.4b Right to Left 7.5 Square Roots of Perfect Squares LESSON 8 APPLICATIONS OF TRIPLES 8.1 Triple Subtraction 8.2 Triple Geometry 8.3 Angle Between Two Lines 8.4 Half Angle 8.5 Coordinate Geometry 8.5a Gradients 8.5b Length of Perpendicular 8.5c Circle Problems 8.5d EQUATION OF A LINE 8.6 COMPLEX NUMBERS CONTENTS LESSON 9 DIVISIBILITY 9.1 Elementary Parts 9.2 The Ekadhika 9.3 Osculation Explanation 9.4 Testing Longer Numbers 9.5 Other Divisors 9.6 The Negative Osculator 9.7 OSCULATING WITH GROUPS OF DIGITS LESSON 10 STRAIGHT DIVISION 10.1 Single Figure on the Flag 10.2 Short Division Digression 10.3 Longer Numbers Multiplication Reversed 10.4 Decimalising the Remainder 10.5 Negative Flag Digits 10.6 Larger Divisors 10.7 ALGEBRAIC DIVISION LESSON 11 SQUARE ROOTS 11.1 Squaring 11.2 Square Root of a Perfect square 11.2a Preamble 11.2b Two-Figure Answer Reversing Squaring 11.2c Three-Figure Answer Reversing Squaring 11.3 General Square Roots 11.4 Changing the Divisor Heuristic Proof 11.5 ALGEBRAIC SQUARE ROOTS LESSON 12 TRIPLE TRIGONOMETRY 12.1 COMPOUND ANGLES 12.2 INVERSE FUNCTIONS 12.3 THE GENERAL TRIPLE 12.4 TRIGONOMETRIC EQUATIONS 12.4a SIMPLE EQUATIONS 12.4b A SPECIAL TYPE LESSON 13 COMBINED OPERATIONS 13.1 Algebraic 13.2 Arithmetic 13.2a SUMS OF PRODUCTS 13.2b ADDITION AND DIVISION 13.2c STRAIGHT DIVISION 13.2d MEAN AND MEAN DEVIATION 13.2e DIVIDING SUMS OF PRODUCTS 13,2f VARIANCE 13.3 Theorems LESSON 14 SOLUTION OF POLYNOMIAL EQUATIONS 14.1 QUADRATIC EQUATIONS 14.1a x > 1 PROOF 14.1b x < –1 14.1c 0 < x < 1 14.1d 0 < x < 1 and x2 Coefficient > 1 14.1e –1 < x < 0 14.1f x LARGE 14.2 HIGHER ORDER EQUATIONS 14.2a CUBE ROOT 14.2b CUBIC EQUATIONS A SIMPLIFICATION A CUBIC WITH 0 < x < 1 14.2c QUINTICS LESSON 15 CALCULUS METHODS 15.1 Partial Fractions 15.2 Integration by ‘Parts’ TRUNCATING 15.3 BINOMIAL AND MACLAURIN THEOREMS 15.4 Derivatives of a Product 15.5 Derivative of A Quotient 15.6 Differential Equations – 1 15.7 Differential Equations – 2 15.8 Limits 220 LESSON 16 APPLIED MATHEMATICS 16.1 SIMPLE HARMONIC MOTION 16.2 PROJECTILES 16.3 FORCES IN EQUILIBRIUM 16.4 WORK AND MOMENT LESSON 17 TRIGONOMETRIC FUNCTIONS 17.1 DERIVATIVES 17.2 SERIES EXPANSIONS 17.3 INVERSE TRIGONOMETRIC FUNCTIONS 17.3a DERIVATIVES 17.3b SERIES 17.4 EVALUATING TRIGONOMETRIC FUNCTIONS 17.4a COSINE 17.4b SINE 17.4c INVERSE TANGENT LESSON 18 TRIGONOMETRIC AND TRANSCENDENTAL EQUATIONS 18.1 POLYNOMIAL EQUATIONS 18.2 TRIGONOMETRIC EQUATIONS 18.3 TRANSCENDENTAL EQUATIONS KEPLER’S EQUATION REFERENCES SUTRAS AND SUB-SUTRAS INDEX OF THE VEDIC FORMULAE INDEX.

  YEAH!  SHEPHERD'S VERSES-- SURE!

Isaac Newton stole the Newton-Gauss interpolation formula (to the second order) from the work of  Govindaswami  930 AD, of the Kerala school of Mathematics  . Govindaswami  gave the fractional parts of the Aryabhata's tabular sines.

The Gauss–Newton algorithm is a method used to solve non-linear least squares problems.  Newton stole the Newton Gauss Backward Interpolation formula from the works of Vateswaracharya 880 AD,  .

Madhavan of theKerala School of Mathematics  discovered Newton Power series and the Gregory Leibnitz series for the Inverse Tangent three centuries before.  Leinnitz stole from Madhavan’s  power series for pi ..

Nilakanta of the kerala School of Mathematics discovered Newton’s Infinite Geometric Progression convergent series.

Sorry, Newton, this Internet age has exposed you as a thief of the first order.

The sages who gave this planet the Vedas , Upanishads did not care to leave their names; the truths they set down were eternal, and the identity of those who arranged the words irrelevant.

Almost all of Newton's works were stolen from ancient Vedic Indian texts--all written down thousands of years before him in Sanskrit--. Gravitation theory ( he was NOT smart enough to read it right ), Gauss interpolation formula, Power series, Infinite geometric progressions -- it is just NOT worth my time.

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CAPT AJIT VADAKAYIL

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