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Were there other related definitions defined around this time? In physics textbooks, vectors are introduced first, and then vector fields; given the complexity of the notion of tensors, one would suppose tensors would then be introduced and then tensor fields. Instead, a quite complex and obscure definition of a tensor field (and not a tensor) is presented ...


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I wouldn't trust Hardys assessment; he after all said: he had been carrying an impossible handicap, a poor and solitary Hindu pitting his brains against the accumulated wisdom of Europe... It was impossible to teach him systematically, but he gradually absorbed new points of view. Given that Ramanujan, by his own admission, had learnt mathematics from ...


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Have you considered Sofya Kovalevskaya? In 1874 she presented three papers — on partial differential equations, on the dynamics of Saturn's rings, and on elliptic integrals — to the University of Göttingen as her doctoral dissertation and with the support of Weierstrass, this earned her a doctorate in mathematics and thereby became the first woman to have ...


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First a little history The procedure for solving simultaneous linear equations now called Gaussian elimination appears in the ancient Chinese mathematical text Chapter Eight: Rectangular Arrays of The Nine Chapters on the Mathematical Art. Its use is illustrated in eighteen problems, with two to five equations. This is discussed in Roger Hart, The ...


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At this link, you can find a loose translation of „Die Entwicklung der Mathematik an der Universität Göttingen" by Erwin Neuenschwander and Hans-Wilhelm Burmann, an interesting article published in the book Die Geschichte der Verfassung und der Fachbereiche der Georg-August-Universität zu Göttingen. In the early times, Segner, Penther and Tobias Mayer ...


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A contibution to a discussion that ended nearly four years may appear quixotic but it is difficult to let stand an answer which, though accurately summing up Boyer's views on the subject, is completely out of date and misleading. The state of the question of the origin and evolution of fractions still today is to be found in the acts of an international ...


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If you are looking for a books exploring similar territory to Sabine Hossenfelders book, you can try looking at Lee Smolin, The Trouble with Physics David Lindleys, The End of Physics: The Myth of a Unified Theory Peter Woit, It's not Even Wrong. If you are looking for a more positive spin on the physics, try Rickles, A Brief History of String Theory (...


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According to my quite likely wildly oversimplified understanding, a revolution occurred in the foundations of mathematics when Cantor's formulation of set theory was found to be inconsistent due to Russell's paradox, which ultimately lead to the development of Zermelo-Fraenkel set theory, thus putting mathematics back on solid formal foundations. My ...


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