Questions tagged [cauchy]
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10 questions
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Cauchy addressing "metaphysical difficulties" of Calculus
I am reading Everything and more: A brief history of infinity by David Foster Wallace and came across this quote:
Broadly stated, Cauchy’s project involves trying to rescue calculus from its ...
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Which authors is Cauchy referring to in connection with horn angles?
Cauchy wrote a book on differential geometry in 1826. This can be
found in series 2, volume 5 of Cauchy's collected works. In lesson 6,
he deals with the curvature of plane curves. On page 98, he ...
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Earliest historical work on Cauchy's infinitesimal delta functions?
As early as 1981, Hans Freudenthal briefly mentioned Cauchy's work on "singular integrals (i.e., integrals of infinitely large functions over infinitely small paths [$\delta$ functions])" on ...
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Where can I read Cauchy's terrible poems?
I hope that the slightly abrasive title is forgivable, as the judgement on this poetry is not mine, but Hans Freudenthal's. Here is the background: in the Dictionary of Scientific Biography, there is ...
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Why don't inventors clearly describe or expound their ideas?
Kindly see the embolded sentence below.
To write Cauchy’s definitions down precisely takes a bit more work. This
was especially true for Cauchy himself, who had not quite phrased the ideas in
...
user3478
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Did Cauchy ever deal with double or triple integrals?
Did Cauchy ever deal with double or triple integrals? Did he give rigorous proofs of multivariable integral calculus like what came to be called Stokes's theorem, the divergence theorem, etc.?
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Did Cauchy forget or lose mathematical papers aside from Abel's and Galois's?
Augustin-Louis Cauchy was a prolific writer, his writings range widely in mathematics and mathematical physics. As a professor at École Polytechnique he came in contact and reviewed Abel's and Galois' ...
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Is Kline right that Cauchy believed that continuous functions must be differentiable?
Morris Kline, in Mathematical Thought from Ancient to Modern Time, writes in chapter 40 (The Installation of Rigor in Analysis), "Though Bolzano and Cauchy had rigorized (somewhat) the notions of ...
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Why did Lagrange say that Cauchy should learn literature before mathematics?
From Bruno Belhoste's Augustin-Louis Cauchy — A Biography:
Even if we should doubt the remark Valson attributed to Lagrange, it is likely that he did advise Louis-François about to his son's ...
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Origin of Cauchy convergence test
Obviously Cauchy's convergence test is named after Augustin-Louis Cauchy. Is he the person who first proved this criterion or is it another misnamed theorem? If so: In which treatise?
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