Most of the time, I don't get to choose the textbooks I use for undergraduates (the main exception is when I'm asked to tutor, not teach a class). But I am always trying to persuade faculty or whomever to use a particular text. Then I thought about how many textbooks I haven't come across, or dismissed long ago for the wrong reasons, and I was hoping others could share which textbooks they use or would like to use (or use but don't want to) to teach linear algebra, calculus, analysis, differential equations, graph theory, abstract algebra, statistics, probability, and so forth (please feel free to throw in textbooks for graduate students on e.g., measure theory, operators/function spaces/functional analysis, hyperbolic manifolds, etc.). To be fair, I've provided some examples I'd give as an answer to this question:
Michael Spivak's Calculus
Hubbard & Hubbard's Vector Calclus, Linear Algebra, and Differential Forms
Any textbook by Rand R. Wilcox
Wickens' The Geometry of Multivariate Statistics (as a supplementary text)
Joseph Silverman's The Arithmetic of Dynamical Systems (Graduate Texts in Mathematics, 241)
Thanks!
Yes textbooks are in fact important for enhancing the student learning competence. But I think that textbooks should be referred to only as guideline for the content of the course rather than "the only book". The students should be encouraged to visit libraries to see as many books as they can and not to stick to one book and I think in teaching math we should put this task in our minds when writing home-works or assessments . For me I would recommend any text books that matches the description of the course content, written by known scholar in the subject and published by reputable publisher with convincing editorial policy.
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