NaMo, introduce the 40 videos of NPTEL rendered with stunning precision by Profs MD Srinivas, MS Sriram and K. Ramasubramanian in all schools and train all teachers to narrate the Bharatiya Itihaas of Ganitam.
These are Made In India contributions to knowledge systems, par excellence.
Namaskaram. Kalyanaraman
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rajeev srinivasan @RajeevSrinivasa
These are Made In India contributions to knowledge systems, par excellence.
Namaskaram. Kalyanaraman
rajeev srinivasan @RajeevSrinivasa about #keralaschoolofmath discovering infinite series. now brown left racists disputing sulba sutras 2/2 @TheJaggi@ShashiTharoor@kalyan97
"eurocentrism in the history of math: the case of the kerala school"@thejaggi@shashitharoor@kalyan97 that was racism then 1/2
See: http://ckraju.net/
A new mathematics
Present-day mathematics rests on formal proof, which varies with logic, but logic varies with time beliefs and culture. So mathematical theorems are no more than cultural truths. That seems the end of formal mathematics...more.
The new mathematics would value calculation above proof.
Gives a new way to tackle infinities in computing, calculus, quantum field theory, and shock waves.
- For the layperson: this means maths becomes very easy if the Western approach to maths is abandoned. Anyone can learn the calculus in 5 days as I have shown.
A new type of computer
Param
About India's first parallel supercomputer Param that I helped to build.....more
(This was not really new, similar things had been done before elsewhere, but people then thought of India as technologically backward, and dismissed the effort as "mad".)
Quantum computing
Computers become obsolete every 3 years, but this may soon stop. Worried that this may result in an economic slowdown, many countries (not India) are betting billions on quantum computing as the solution. But will quantum computers work? That requires a proper understanding of quantum mechanics. Does the many-worlds interpretation of quantum mechanics mean quantum computing is parallel computing? Or is something missing so that quantum computers should be designed differently?....more.
Software etc.
Download free educational software (for all), and lecture notes (students only).
A new ethic
Can ethics be based on science? The harmony principle provides a new basis of ethics not based on outmoded cultural beliefs. It gives meaning and purpose to life without having to believe in God... more.
Also: Has the AMS made a mockery of its ethics in the Atiyah case? ...more.
A new history
Calculus
The calculus developed in India, and was transmitted to Europe. Newton and Leibniz did not "independently rediscover" it. Why not? And what difference does it make?...more.
Western history of science
The Western history of science was designed by priests during the Crusades and Inquisition. Colonialism made this ultra-chauvinisitic story the "standard" and any realistic corrections are dismissed as chauvinistic! The story created awe of the West, and fooled people into aping the West as the right way to "catch up". This worked like a leash to enslave people mentally. If you are one of those slaves, break out now....more
Euclid
Mathematics is supposedly based on Euclid's Elements. But did Euclid exist? Was theElements a religious book?... more.
A new look at science and religion
Buddhist Mathematics
Is the certainty of mathematics only a religious belief? Would mathematics change if we changed the underlying religious belief? What would Buddhist mathematics be like? ...more
Christian Physics
Is Stephen Hawking's theory of "singularities" just a sophisticated articulation of Christian ideas of creation?...more
Is the authority of science being misused to control people's behaviour by persuading them about the validity of a certain set of values. ...more
A new way to learn
- The 5-day course on calculus without limits, (for those who know 8th std. math), using zeroism....more. Math experts can look here.
- Solve tough problems of Newtonian physics easily with the software Calcodethat I developed to teach differential equations to my children.....more
- Why the lowly string is a superior substitute for the compass box in primary math education....more
- http://ckraju.net/#mathematics
Kerala school of math and the origins of calculus: was it transmitted to europe from here? -- Rajeev Srinivasan
This paper is available on the web for download as a word document. an excerpt is below.
i also have another paper (from peer-reviewed journal 'race and class', "eurocentrism in the history of mathematics: the case of the kerala school") by the same authors alameida and george joseph at exeter/manchester univs, uk. btw george joseph spoke recently in trivandrum, and his book "the crest of the peacock" is well-thought-of.
there is also the research by ian pierce at st. andrews univ in scotland.
in the context of the 'indian science congress' expressing ignorance about ancient indian science, it's worth pointing out that a lot of modern mathematics and astronomy originated in kerala!
excerpt:
KERALA MATHEMATICS AND ITS POSSIBLE TRANSMISSION TO EUROPE
Dennis Francis Almeida University of Exeter, UK
<D.F.Almeida(at)ex.ac.uk>
and
George Gheverghese Joseph University of Manchester, UK
<George.Joseph(at)man.ac.uk> Abstract: Mathematical techniques of great importance, involving elements of the calculus, were developed between the 14th and 16thcenturies in Kerala, India. In this period Kerala was in continuous contact with the outside world, with China to the East and with Arabia to the West. Also after the pioneering voyage of Vasco da Gama in 1499, there was a direct conduit to Europe. The current state of the literature implies that, despite these communication routes, the Keralese calculus lay confined to Kerala. The paper is based on the findings of an ongoing research project, which examines the epistemology of the calculus of the Kerala school and its conjectured transmission to Europe.
1. Introduction.
According to the literature the general methods of the calculus were invented independently by Newton and Leibniz in the late 17th century[1] after exploiting the works of European pioneers such as Fermat, Roberval, Taylor, Gregory, Pascal, and Bernoulli[2] in the preceding half century. However, what appears to be less well known is that the fundamental elements of the calculus including numerical integration methods and infinite series derivations for p and for trigonometric functions such as sin x, cos x and tan-1 x (the so-called Gregory series) had already been discovered over 250 years earlier in Kerala. These developments first occurred in the works of the Kerala mathematician Madhava and were subsequently elaborated on by his followers Nilakantha Somayaji, Jyesthadeva, Sankara Variyar and others between the 14th and 16th centuries[3]. In the latter half of the 20th century there has been some acknowledgement of these facts outside India. There are several modern European histories of mathematics[4] which acknowledge the work of the Kerala school. However it needs to be pointed out that this acknowledgement is not necessarily universal. For example, in the recent past a paper by Fiegenbaum on the history of the calculus makes no acknowledgement of the work of the Kerala school[5]. However, prior to the publication of Fiegenbaum’s paper, several renowned publications detailing the Keralese calculus had already appeared in the West[6]. Such a viewpoint may have its origins in the Eurocentrism that was formulated during the period of colonisation by some European nations.
[1] See, for example, Margaret Baron, The Origins of the Infinitesimal Calculus, Oxford, Pergamom, 1969, p 65.
[2] See, for example, Charles Edwards, The Historical Development of the Calculus, New York, Springer-Verlag, 1979, p189, and Victor Katz, “Ideas of calculus in Islam and India”, Mathematics Magazine, Washington, 68 (1995), 3: 163-174, p 163 and p 164.
[3] See the work of K Venkateswara Sarma, A History of the Kerala School of Hindu Astronomy, Hoshiarpur, Vishveshvaranand Vedic Research Institute, 1972, p 21 and p 22 and the paper by Charles Whish, “On the Hindu quadrature of the circle and the infinite series of the proportion of the circumference to the diameter exhibited in the four Shastras, the Tantrasamgraham, Yukti-Bhasa, Carana Padhati, and Sadratnamala”,Transactions of the Royal Asiatic Society of Great Britain and Ireland, London, 3 (1835): 509-523, p 522 and p 523.
[4] For example, Margaret Baron, Origins of Calculus, op cit, p 62 and p 63; Ronald Calinger, A Contextual History of Mathematics to Euler, New Jersey, Prentice Hall, 1999, p 284
[5] Leone Fiegenbaum, “Brook Taylor and the Method of Increments”, Archive for History of Exact Sciences, Baltimore, 34 (1986): 1-140, p 72
[6] For example, Charles Whish, “On the Hindu quadrature of the circle and the infinite series of the proportion of the circumference to the diameter exhibited in the four Shastras, the Tantrasamgraham, Yukti-Bhasa, Carana Padhati, and Sadratnamala”, Transactions, 3 (1835): 509-523; C T Rajagopal and M S Rangachari, “On an Untapped Source of Medieval Keralese Mathematics”,Archive for History of Exact Sciences, Baltimore, 18 (1978): 89-102; C T Rajagopal and T V Vedamurthi, “On the Hindu proof of Gregory’s series”,Scripta Mathematica, New York, 18(1951): 91-99