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fix: Proofread Part Golf (2D integrals of scalar functions) - #85
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Closes #62. Proofread src/ipep.typ, src/double.typ, src/chvar.typ, src/polar.typ, src/shorthand.typ (the files included under Part Golf). Found and fixed: - ipep.typ: "This is just turns out to be" -> "This just turns out to be" (dropped stray "is"); "surface integrals translate directly into area integral" -> "... area integrals" to match the parallel plural phrasing used for line integrals just above. - double.typ: "you ought to paying most attention" -> "ought to pay" (modal verb needs bare infinitive); a worked example wrote "int cos(xy) dif u" instead of "dif y" (wrong differential variable); a later worked example had the dif x/dif y ordering backwards relative to the book's established convention, and kept a spurious leftover "dif x" in two places after the x-integral had already been evaluated. - chvar.typ: a Jacobian matrix entry was missing a minus sign (the same partial derivative was correctly computed with a minus sign two lines earlier); a comparison table displayed the polar Jacobian matrix transposed relative to the convention (and the correctly-derived version) used earlier in the same file; a stray extra "v" appeared in a general formula for factoring integrals over rectangles. - polar.typ: "upper half a circle" -> "upper half of a circle" (missing preposition). No large mathematical errors were found; all of the worked numerical examples (the change-of-variables area computations, the offset-circle polar integral, the (x^2+y^2)^(5/2) and 1/(x^2+y^2+17) polar integrals, and the quarter-disk center of mass) check out correctly. shorthand.typ had no issues. 🤖 Generated with [Claude Code](https://claude.com/claude-code)
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Closes #62.
Proofread
src/ipep.typ,src/double.typ,src/chvar.typ,src/polar.typ,src/shorthand.typ(the files included under Part Golf). Found and fixed:ipep.typ: "This is just turns out to be" → "This just turns out to be" (dropped stray "is"); "surface integrals translate directly into area integral" → "... area integrals" to match the parallel plural phrasing used for line integrals just above.double.typ: "you ought to paying most attention" → "ought to pay" (modal verb needs bare infinitive); a worked example wroteint cos(xy) dif uinstead ofdif y(wrong differential variable); a later worked example had thedif x/dif yordering backwards relative to the book's established convention (outer integral sign first, differentials indif(inner) dif(outer)order), and kept a spurious leftoverdif xin two more places after thex-integral had already been evaluated out.chvar.typ: a Jacobian matrix entry was missing a minus sign (the same partial derivative was correctly computed with a minus sign two lines earlier in the same example); a comparison table displayed the polar Jacobian matrix transposed relative to the convention (and the correctly-derived version) used earlier in the same file — entries (1,2) and (2,1) were swapped; a stray extravappeared in the general formula for factoring integrals over rectangles.polar.typ: "upper half a circle" → "upper half of a circle" (missing preposition).No large mathematical errors were found; all of the worked numerical examples (the change-of-variables area computations, the offset-circle polar integral, the
(x^2+y^2)^(5/2)and1/(x^2+y^2+17)polar integrals, and the quarter-disk center of mass) check out correctly by independent re-derivation.shorthand.typhad no issues.Generated by Claude Code