Referencing in Report Writing: Moebius Transformations

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When writing a report on Möbius transformations, it's essential to reference sources when introducing theorems or definitions that are original to those sources. If concepts are derived from a source but expressed in simpler language, it is still advisable to mention the original material. Common knowledge, such as the basic definition of a Möbius transformation, typically does not require citation. However, if the report closely follows a specific source's structure or presentation of well-known material, crediting that source is necessary. When uncertain about whether to cite, it's best to err on the side of caution and include the citation, as it is a simple practice that enhances academic integrity.
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I'm currently writing a report on moebius transformations. I haven't had to reference for quite some time and I'm not totally sure how to go about it. When introducing theorems, definitions, etc do I need to reference the source?
Also throughout the report I have often taken concepts from a source and reduced them into more understandable language. Do I need to mention this source material?
 
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If the theorem or definition is original to the source, you certainly need to cite the source.

If it's common knowledge (e.g. the definition of a Möbius transformation) you don't necessarily need to cite a source. However, if you closely follow a particular source's exposition of well-known material (for example, introducing theorems in the same order as a certain book or paper, or presenting a proof you found somewhere else), then you should give credit to that source.
 
If in doubt, cite it. It doesn't cost anything.
 
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