Best Dover Calculus Books Beyond Calc II

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Discussion Overview

The discussion revolves around recommendations for Dover calculus books that extend beyond the typical "Calculus II" curriculum. Participants explore various titles and their relevance, as well as the potential inclusion of differential equations texts.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant seeks recommendations for Dover calculus books beyond Calculus II, listing several titles including works by Edwards, Widder, Borden, Friedman, and Gersting.
  • Another participant expresses a preference for Widder's book, noting their lack of familiarity with the other titles.
  • A third participant describes Widder's book as a classic, sharing a personal anecdote about its use in preparation for an advanced calculus course.
  • Some participants introduce the topic of differential equations, suggesting titles such as Farlow's "Partial Differential Equations for Scientists and Engineers" and Tenenbaum's "Ordinary Differential Equations." One participant emphasizes the usefulness of Tenenbaum's book compared to others in the field.

Areas of Agreement / Disagreement

Participants express varying opinions on the recommended calculus books, with some favoring Widder's text. The discussion on differential equations introduces additional titles, but there is no consensus on the best options or their relative merits.

Contextual Notes

Some recommendations may depend on individual learning preferences and specific course requirements, and there is no resolution on the overlap between the suggested calculus texts.

Who May Find This Useful

Readers interested in advanced calculus and differential equations, particularly those looking for Dover publications, may find this discussion relevant.

rnabioullin
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Any recommendations on which Dover calculus books I should acquire that are past the typical "Calculus II" curriculum? Some of them appear to overlap significantly. I have considered the following books:
  • Advanced Calculus of Several Variables (Edwards)
  • Advanced Calculus: Second Edition (Widder)
  • A Course in Advanced Calculus (Borden)
  • Advanced Calculus (Friedman)
  • Technical Calculus with Analytic Geometry (Gersting)
  • ...
 
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I like the one by widder. I haven't looked at the others so they could be good too for all I know.
 
widder is a classic. old fashioned and solid. when i aspired to take honors advanced calculus from loomis he told me i needed to know things like the fact that a continuous function has a max on a closed bounded interval. i checked out widder from the library and read it there, then took the course.
 
Last edited:
What about books on differential equations? I was thinking of:

  1. Partial Differential Equations for Scientists and Engineers (Farlow)
  2. Ordinary Differential Equations (Tenenbaum)
 
rnabioullin said:
What about books on differential equations? I was thinking of:

  1. Partial Differential Equations for Scientists and Engineers (Farlow)
  2. Ordinary Differential Equations (Tenenbaum)
You wouldn't need a book on PDE's till you study ODE's first.
The book by Tenenbaum is excellent, and I daresay, it's one of the only ODE texts out there that are useful(i.e. it doesn't focus on making the book attractive for professors to use or it doesn't focus on trying to impress students which really seems like what most ODE texts do).
 

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