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Is anyone able to recommend a textbook that covers the following topics at a level suitable for econ undergraduates?

  • Differential calculus, including the various rules of differentiation and partial derivatives.
  • At least some integral calculus.
  • Probability theory, expected values, Bayes' rule.
  • (optional) basic set theory.

I can find books with a nice treatment of calculus, but am struggling to find a book that also includes coverage of topics in probability.

Failing one book that covers all of these topics, I also welcome suggestions of books that might work well together to give such coverage.

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  • $\begingroup$ Just wondering, why don't you just want two books? $\endgroup$ – wythagoras Nov 26 '15 at 17:12
  • $\begingroup$ @wythagoras Well, if it has to be two books then I would use two books (in which case I would appreciate a recommendation of a good book for basic probability theory that doesn't get too sidetracked into topics in empirical estimation etc.). But mostly, I would prefer one book because my experience is that students find it more convenient if there's a single source for them to consult. $\endgroup$ – Ubiquitous♦ Nov 26 '15 at 17:15
  • $\begingroup$ In a course similiar to yours at the Radboud University, the Netherlands, they use two different lecture notes and each set of notes recommends a book. $\endgroup$ – wythagoras Nov 26 '15 at 17:24
  • $\begingroup$ @wythagoras Thanks! Would you mind posting that as an answer so that it can be up-voted (and potentially accepted). That way the best answer will be more visible to others who end up here with a similar question. $\endgroup$ – Ubiquitous♦ Nov 26 '15 at 18:36
  • $\begingroup$ I did not post it as an answer because I do not really believe it answers the question. However, I'm happy to post of course. $\endgroup$ – wythagoras Nov 26 '15 at 19:23
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In a course similiar to yours at the Radboud University Nijmegen, the Netherlands, they use two different lecture notes (in Dutch) and each set of notes recommends a book.

For probability theory, they recommend the following book:

  • Murray R. Spiegel, John J. Schiller, R. A. Srinivasan: (Schaum’s Outline of Theory and Problems of) Probability and Statistics. McGraw-Hill Companies, 2000, 408 p., ISBN: 0071350047.
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