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Comments on Spivak's Book

This document in PDF: SpivakComments.pdf

No book is perfect, and our excellent textbook is no exception. This page will grow to be a list of typos and other mistakes (mostly very minor) in Spivak's ``Calculus'' book (third edition). If you find anything, please let me know (electronic means preferred!), and I'll add your report. At the end of the year I plan to send this page to Spivak.

I should have started this two years ago, when I first taught using this book. I guess the few typos reported to me before October 2004 may be lost.

The format of the entries below is: (page number; date added to this list (d/m/y); credit; report).

• 49; 7/10/04; Gary Baumgartner; at the beginning of the third line of question 6, ``$(x-x_i)$'' should be ``$(x-x_j)$''.

• 171; 29/11/04; Roman Feiman and Jordan Myslik; on line 9, `` $\cos x\cdot x$'' should be `` $\cos x\cdot\cos x$''.

• 181; 8/11/04; Shay Fuchs; in problem 9, `` $-\sqrt{3x}$'' should be `` $-\sqrt{3}x$''.

• 260; 14/12/04; Richard Michael; on line $-9$, a factor of $n$ is missing in the formula for $U(f,P_n)$.

• 267; 14/12/04; Richard Michael; on line 9, ``new function $f$'' should be ``new function $F$''.

• 321; 18/10/04; Dror Bar-Natan; the treatment of the irrationality of $\pi$ is horrible. Should have been done after integration by parts, along the lines of http://www.math.toronto.edu/~drorbn/classes/0203/157AnalysisI/etc/PiIrrational.html.

• 350; 18/02/05; Keh-Harng Feng and Jordan Myslik; in exercise 7c, `` $\sinh x\cosh x$'' should be `` $\sinh x\cosh y$''.

• 370; 5/4/05; Jordan Myslik; in line 8, replace `` $dx=\frac{1}{u}dx$'' with `` $dx=\frac{1}{u}du$''.

• 431; 7/03/05; Dror Bar-Natan; in exercise 16 part (d), replace $f'(x)$ with $f'(a)$.

• 614; 18/10/04; Yan, Hao; in the solution of 7(a), should be $f(x)=(-A/B)x+(-C/B)$.

• 618; 10/11/04; Yan, Hao; in the solution of 1(v), `` $[1+\sqrt5]/2$'' should be `` $[-1+\sqrt5]/2$''.

• 647; 5/4/05; Jordan Myslik; the solution to 8(iii) is $c_i=(i+1)a_{i+1}$ (not $(i+1)a_i$).

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