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I remember my Calculus I and II text book always seemed to skip an important step. 1. Some Math 2. A therefore obviously B 3. Q.E.D. It was always the "obvi
by learc83 12y ago
I remember my Calculus I and II text book always seemed to skip an important step.
1. Some Math
2. A therefore obviously B
3. Q.E.D.
It was always the "obviously" part were I was lost.
The proofs in my more math heavy CS classes (especially Automata) were always a lot clearer even though I thought the material was conceptually harder than calculus.
- RBerenguel 12y agoCalculus is incredibly complicated. Keep in mind it wasn't properly formalised until the late 19th century. It depends a lot on the book and the student, but essentially, to read Calculus I+2\varepsilon you need a solid foundation in Calculus I+\varepsilon. So, usually most of the skipping is because the text assumes the prior is known and digested (or it is just a bad book.)
- Q6T46nT668w6i3m 12y agoCalculus is complicated. Most undergraduate students in the United States who major in mathematics take six courses in functions and limits (e.g. elementary calculus—(two courses), multivariable calculus, elementary analysis, complex analysis, and real analysis). Moreover, while the proofs in analysis are far more satisfying than the proofs encountered in elementary calculus, many students remain unsatisfied until their analysis courses in graduate school!
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