Curso de geometría métrica, Volume 1. Front Cover. Pedro Puig Adam. Nuevas Graficas, QR code for Curso de geometría métrica. Curso de geometría métrica, Volume 1. Front Cover. Pedro Puig Adam. Patronato de Publicaciones de la Escuela Especial de Ingenieros Industriales, Curso de Geometria metrica. Tomo I-Fundamentos, Tomo II-Complementos. P. Puig Adam. Published by Biblioteca matematica, Price: US$

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Should one always place the proof of a theorem after its statement? Sign up using Facebook.

I am aware that it is good practice to include mehrica proofs but if the proof is implied in my explanation leading up to the theorem, is it still necessary to include it formally? I’ve found that doing so leads to clumsy repetition often using the same variables in a slightly different order of the reasoning that lead me to the theorem – because I know proofs should work forwards from your assumptions, whereas my reasoning often works backwards from the result to work out how to get there.

My question is, is it always necessary to then include a formal proof of the theorem after its statement, if I’ve already explained how I got there?

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By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies. Email Required, but never shown.

Post as a guest Name. Mathematics Stack Exchange works best with JavaScript enabled. Some mftrica place it before. I’m writing up my solutions to a rather large set of number theory problems, and was wondering the following.

Curso de geometria metrica – Pedro Puig Adam – Google Books

Sign up or log in Sign up using Google. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. It is a Spanish book: However, the markers want to see ‘how I arrived at’ my solutions as they are mainly interested in my thought process. Sign up using Email and Password. I’m certainly used to writing formal, ‘structured’ mathematics solutions, but in these problems I’ve frequently found I want to split my answers into several lemmas that together lead to a main theorem.

Curso de geometría métrica – Pedro Puig Adam – Google Books

This has prompted me to start using formal ‘lemma, theorem, proof’ formatting which I’ve never done before. For example, a reader that is just looking for a proof of a gievn theorem, will prefer the Theorem – Proof style.

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Actually, I know a book that is is written in the way you metrjca described. Post Your Answer Discard By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.

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Pedro Puig Adam

For this reason I’ve been writing in normal prose, describing my thinking, and arriving every now and then at a main lemma or theorem. Nevertheless, I think that this style has more cons than pros. Reasonings, explanations and from time to time, metrlca as conclussions.