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I'm compiling a list of ideas and recommendations on how to read math and physics books with the aim of taking apart the presented content, classifying the provided information and, to some extent, formalizing a way to compare them.

This got me thinking: While there are lots of literature critiques ("post-structuralist reading" or "feminist reading" to throw in buzzwords), I'm not away or a real theory of what I'd find helpful here. There is theory and critique of science as such (Mach, Feyerabend,...). But did people write on scientific presentation and comparison of books (and I don't mean how to teach to kids, which is essentially an academic subject itself, and there are opinionated people and streams like the Russian school of teachings.)

I wonder if there would be a framework under which I can compare books by Feynman and Landau on the same subject from the same time, but not by the scientific content per se, but by value and classifying type of content. After all, such physics books do lots of different jobs, from explaining the intuition to providing calculation strategies. My question is if I maybe just missed that there is a theory of science and math reading.

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    This is sort of what Isabelle Stengers does (along with Latour and Serres to some degree as well) – Joseph Weissman Apr 7 '15 at 22:05
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    Yes, but you're unlikely to find it in philosophy of science publications or programs. It gets done by literature scholars. – ChristopherE Apr 7 '15 at 22:36
  • @ChristopherE: I know of works where people reflect upon the developement of subjects (e.g. this book is very great), but let me emphasis that I'm not interested in text analyses of existing texts, but instead I'm interested in a theory of such text analysis. With the aim on reading up on how to do it myself. If you indeed mean the latter, do you have a reference to such a thing for math/science text? – Nikolaj-K Apr 8 '15 at 10:00
  • Not aware of a meta-literature itself, but many science texts differ from other works of literature in that they often describe a suggested way to read itself. – James Kingsbery Apr 8 '15 at 14:34
  • There is also a book - "Writing Science in Plain English (Chicago Guides to Writing, Editing, and Publsihing)" by Anne E. Greene – Swami Vishwananda Aug 7 '15 at 10:18
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Here is an excellent article on the subject. It points out how the writing should be structured and gives some very useful examples. It summarizes with the following points:

Writing and the Scientific Process

We began this article by arguing that complex thoughts expressed in impenetrable prose can be rendered accessible and clear without minimizing any of their complexity. Our examples of scientific writing have ranged from the merely cloudy to the virtually opaque; yet all of them could be made significantly more comprehensible by observing the following structural principles:

  1. Follow a grammatical subject as soon as possible with its verb.
    1. Place in the stress position the "new information" you want the reader to emphasize.
    2. Place the person or thing whose "story" a sentence is telling at the beginning of the sentence, in the topic position.
    3. Place appropriate "old information" (material already stated in the discourse) in the topic position for linkage backward and contextualization forward.
    4. Articulate the action of every clause or sentence in its verb.
    5. In general, provide context for your reader before asking that reader to consider anything new.
    6. In general, try to ensure that the relative emphases of the substance coincide with the relative expectations for emphasis raised by the structure.

It may seem obvious that a scientific document is incomplete without the interpretation of the writer; it may not be so obvious that the document cannot "exist" without the interpretation of each reader.

None of these reader-expectation principles should be considered "rules." Slavish adherence to them will succeed no better than has slavish adherence to avoiding split infinitives or to using the active voice instead of the passive. There can be no fixed algorithm for good writing, for two reasons. First, too many reader expectations are functioning at any given moment for structural decisions to remain clear and easily activated. Second, any reader expectation can be violated to good effect. Our best stylists turn out to be our most skillful violators; but in order to carry this off, they must fulfill expectations most of the time, causing the violations to be perceived as exceptional moments, worthy of note.

A writer's personal style is the sum of all the structural choices that person tends to make when facing the challenges of creating discourse. Writers who fail to put new information in the stress position of many sentences in one document are likely to repeat that unhelpful structural pattern in all other documents. But for the very reason that writers tend to be consistent in making such choices, they can learn to improve their writing style; they can permanently reverse those habitual structural decisions that mislead or burden readers.

We have argued that the substance of thought and the expression of thought are so inextricably intertwined that changes in either will affect the quality of the other. Note that only the first of our examples (the paragraph about URF's) could be revised on the basis of the methodology to reveal a nearly finished passage. In all the other examples, revision revealed existing conceptual gaps and other problems that had been submerged in the originals by dysfunctional structures. Filling the gaps required the addition of extra material. In revising each of these examples, we arrived at a point where we could proceed no further without either supplying connections between ideas or eliminating some existing material altogether. (Writers who use reader-expectation principles on their own prose will not have to conjecture or infer; they know what the prose is intended to convey.) Having begun by analyzing the structure of the prose, we were led eventually to reinvestigate the substance of the science.

The substance of science comprises more than the discovery and recording of data; it extends crucially to include the act of interpretation. It may seem obvious that a scientific document is incomplete without the interpretation of the writer; it may not be so obvious that the document cannot "exist" without the interpretation of each reader. In other words, writers cannot "merely" record data, even if they try. In any recording or articulation, no matter how haphazard or confused, each word resides in one or more distinct structural locations. The resulting structure, even more than the meanings of individual words, significantly influences the reader during the act of interpretation. The question then becomes whether the structure created by the writer (intentionally or not) helps or hinders the reader in the process of interpreting the scientific writing.

The writing principles we have suggested here make conscious for the writer some of the interpretive clues readers derive from structures. Armed with this awareness, the writer can achieve far greater control (although never complete control) of the reader's interpretive process. As a concomitant function, the principles simultaneously offer the writer a fresh re-entry to the thought process that produced the science. In real and important ways, the structure of the prose becomes the structure of the scientific argument. Improving either one will improve the other.

The complete article is available here - http://www.americanscientist.org/issues/pub/the-science-of-scientific-writing/

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