#
Why Prove it Again? : Alternative Proofs in Mathematical Practice
Resource Information
The work ** Why Prove it Again? : Alternative Proofs in Mathematical Practice** represents a distinct intellectual or artistic creation found in **European University Institute**. This resource is a combination of several types including: Work, Language Material, Books.

The Resource
Why Prove it Again? : Alternative Proofs in Mathematical Practice
Resource Information

The work

**Why Prove it Again? : Alternative Proofs in Mathematical Practice**represents a distinct intellectual or artistic creation found in**European University Institute**. This resource is a combination of several types including: Work, Language Material, Books.- Label
- Why Prove it Again? : Alternative Proofs in Mathematical Practice

- Title remainder
- Alternative Proofs in Mathematical Practice

- Statement of responsibility
- by John W. Dawson, Jr

- Language
- eng

- Summary
- This monograph considers several well-known mathematical theorems and asks the question, zWhy prove it again?y while examining alternative proofs. It explores the different rationales mathematicians may have for pursuing and presenting new proofs of previously established results, as well as how they judge whether two proofs of a given result are different. While a number of books have examined alternative proofs of individual theorems, this is the first that presents comparative case studies of other methods for a variety of different theorems. The author begins by laying out the criteria for distinguishing among proofs and enumerates reasons why new proofs have, for so long, played a prominent role in mathematical practice. He then outlines various purposes that alternative proofs may serve. Each chapter that follows provides a detailed case study of alternative proofs for particular theorems, including the Pythagorean Theorem, the Fundamental Theorem of Arithmetic, Desargues' Theorem, the Prime Number Theorem, and the proof of the irreducibility of cyclotomic polynomials. Why Prove It Again? will appeal to a broad range of readers, including historians and philosophers of mathematics, students, and practicing mathematicians. Additionally, teachers will find it to be a useful source of alternative methods of presenting material to their students

- Image bit depth
- 0

- Literary form
- non fiction

## Context

Context of Why Prove it Again? : Alternative Proofs in Mathematical Practice#### Work of

No resources found

No enriched resources found

## Embed

### Settings

Select options that apply then copy and paste the RDF/HTML data fragment to include in your application

Embed this data in a secure (HTTPS) page:

Layout options:

Include data citation:

<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/resource/dNT2W3I0HNk/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/resource/dNT2W3I0HNk/">Why Prove it Again? : Alternative Proofs in Mathematical Practice</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>

Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements

### Preview

## Cite Data - Experimental

### Data Citation of the Work Why Prove it Again? : Alternative Proofs in Mathematical Practice

Copy and paste the following RDF/HTML data fragment to cite this resource

`<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/resource/dNT2W3I0HNk/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/resource/dNT2W3I0HNk/">Why Prove it Again? : Alternative Proofs in Mathematical Practice</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>`