Genius Mathematician: Integral Private Class by Milad Hashemi
My rating: 2 of 5 stars
As a mathematics teacher, I find the typical student is not have trouble with newly introduced concepts and techniques as much as recalling previously learned, fundamental steps required to start solving or finish (simplifying) solving a problem. The author here has had the same observations and the subtitle “Integral Private Class” speaks to the style of the content as a one-no-one tutoring sessions with patient allusions to remedial topics like laws of exponents, handling fractions, using the form of one as an introduced rational factor, and more techniques from algebra and arithmetic. The focus here is on indefinite integrals, largely using change of variables and trigonometric substitutions. The bulk of the content here is worked examples not unlike what one may find in the relevant sections of Schaum's Outline of Calculus.
That being said, this is a nice first-draft that needs a new layout using LaTeX or another high-quality typesetting system, table of contents, clear chapter breaks, an index, and editing for grammar and clarity. Spacing and italics are inconsistent (x sin(x) can also be xsinx, etc.) and English is not apparently the first language of the author here. I hope the author corrects these content issues in a future edition with amplified examples of definite integrals.
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