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The great masters of modern analysis are Lagrange…

“The great masters of modern analysis are Lagrange , Laplace , and Gauss , who were contemporaries. It is interesting to note the marked contrast in their styles. Lagrange is perfect both in form and matter, he is careful to explain his procedure, and though his arguments are general they are easy…” quote by W.W. Rouse Ball
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““The great masters of modern analysis are Lagrange , Laplace , and Gauss , who were contemporaries. It is interesting to note the marked contrast in their styles. Lagrange is perfect both in form and matter, he is careful to explain his procedure, and though his arguments are general they are easy to follow. Laplace on the other hand explains nothing, is indifferent to style, and, if satisfied that his results are correct, is content to leave them either with no proof or with a faulty one. Gauss is as exact and elegant as Lagrange , but even more difficult to follow than Laplace , for he removes every trace of the analysis by which he reached his results, and studies to give a proof which while rigorous shall be as concise and synthetical as possible.””

W.W. Rouse Ball

About This Quote

This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation.

Lagrange, Laplace, and Gauss illustrate varied styles: clarity, indifference, and secrecy.

In simple terms: Three mathematicians show different approaches.

Key Takeaway

Study varied scholarly styles.

Themes

mathematics style clarity secrecy

Mood

analytical educational

Type

Argument:0 Carl-friedrich-gauss:0 Difficulty:0 Elegance:0 Gauss:0 Interesting:0 Joseph-louis-lagrange:0 Lagrange:0 Laplace:0 Masters:0 Mathematics:0 Perfection:0 Pierre-simon-laplace:0 Praise:0 Proof:0 Science:0 Scientists:0 Style:0 Gauss Contemporaries:0 Lagrange Laplace:0 Laplace Gauss:0 Follow Laplace:0

When to use this quote

  • academic writing
  • teaching
  • research methodology

Key Concepts

historical analysis philosophy of science

Questions to Reflect On

  • Which style do you prefer?
  • How does clarity affect learning?
A Different Perspective

One style may hinder understanding.

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