The book The Integration of Functions of a Single Variable was written by author G H Godfrey Harold Hardy Here you can read free online of The Integration of Functions of a Single Variable book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is The Integration of Functions of a Single Variable a good or bad book?
What reading level is The Integration of Functions of a Single Variable book?
To quickly assess the difficulty of the text, read a short excerpt:
(i) The preceding argument fails if n < 3, but we have already seen that all conies are unicursal. The case next in importance is that of a cubic with a double point. If the double point is not at infinity we can, by a change of origin, reduce the equation of the curve to the form (ax + by) (ex + dy) =px 3 + 3qx 2 y + 3rxy' 2 + sy 3 ; and, by considering the intersections of the curve with the line y = tx, we find (a + bt) (c + dt) _ t(a + bt) (c + dt) °° ~ p + 3qt + 3rf + sf V ~p + Sqt + 'Srt* + sf ' If the double point is at infinity, the equation of the curve is of the form (ax + fiy) 2 (yx + By) + tx + £y + = 0, the curve having a pair of parallel asymptotes ; and, by considering the intersection of the curve with the line ax + (3y = t, we find 8tr> + & + /3d _ yf + €t + ad X ~ (/3y-a8)f+el3-ai;' V ~ (/3y - + <0 - af (ii) The case next in complexity is that of a quartic with three double points.
(a) The lemuiscate (x l + ?/ 2 ) 2 = a 2 (x 2 - y*) has three double points, the origin and the circular points at infinity.
You can download books for free in various formats, such as epub, pdf, azw, mobi, txt and others on book networks site. Additionally, the entire text is available for online reading through our e-reader. Our site is not responsible for the performance of third-party products (sites).
User Reviews: