The Calculus for Engineers and Physicists: Integration and Differentiation, with Applications to Technical Problems; With Classified Reference Tables of Integrals and Methods of Integration
The Calculus for Engineers and Physicists: Integration and Differentiation, with Applications to Technical Problems; With Classified Reference Tables of Integrals and Methods of Integration
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1897 Excerpt: ...IX. MAXIMA AND MINIMA. 179. General Criterions.--In fig. 1, at the parts C, E, H, K, E, S, U, the Z-gradient of h is zero. The points C and K are places where h rises to a maximum, the maximum K being greater than the maximum C, but the phrase "maximum" being understood to mean a value greater than any neighbouring ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1897 Excerpt: ...IX. MAXIMA AND MINIMA. 179. General Criterions.--In fig. 1, at the parts C, E, H, K, E, S, U, the Z-gradient of h is zero. The points C and K are places where h rises to a maximum, the maximum K being greater than the maximum C, but the phrase "maximum" being understood to mean a value greater than any neighbouring value on either side. E is a place where h falls to a minimum. Thus the gradient falls to zero wherever there is oither a maximum or a minimum value. At the maxima points, C and K, the forward gradient passes through zero by changing from positive to negative, that is, the increase of the gradient is negative at these places. At the minimum point E, the forward gradient changes from negative to positive, so that its increase is positive. Thus the criterion for distinguishing between a maximum and a minimum is, that at the former the second gradient or second differential coefficient is negative, while at a minimum point it is positive. It is not always, however, necessary to find the sign of the second gradient in order to make sure whether the point is a maximum or a minimum. For instance, if it be known that at the place where the first gradient is zero, the value of h is positive, and if it be also known that at two points near and on either side of this place the value of / becomes zero, or of any positively less value than at this place of zero gradient, then evidently this place gives a maximum. At the place H, fig. 1, the second gradient is zero, because to the left of H it is negative, while to the right of H it is positive. This case of zero second-gradient occurring along with zero firstgradient is the limiting case coming in between the two previous ones, giving respectively maxima and minima; and it gives neither a maximum n...
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Fine. Sewn binding. Cloth over boards. 268 p. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of The Calculus for Engineers and Physicists: Integration to cart. $29.15, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2021 by Legare Street Press.
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Seller's Description:
New. Sewn binding. Cloth over boards. 268 p. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of The Calculus for Engineers and Physicists: Integration to cart. $29.16, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2021 by Legare Street Press.
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