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Handbook of Mathematics for Engineers

Handbook of Mathematics for Engineers


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About the Book

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. 1918 Excerpt: ...and since it will not vary greatly from a straight line between those points, it is seen that it must Fig. 1. cross near 2.64. Suppose the value of /Or) when computed for x = 2.64, is--0.2, and when computed for x == 2.63 is ] 0.7; then the root lies between x = 2.63 and 2.64. Plotting this section on the larger scale, it is seen that the next guess should be about 2.638; and so on. Instead of writing the original equation with all the terms on the left-hand side, it is often better to divide the expression into two parts, say /i(x) and/2Cx), writing the equation in the form/i(x) =.Mx). If then the two curves yl = /i(x) and i/3 TM h(x) be plotted separately, on the same diagram, the value of x corresponding to their point of intersection will be the desired root. SOLUTION OF SIMULTANEOUS EQUATIONS The Meaning of a System of Simultaneous Equations. To solve a system of n simultaneous equations in n unknowns, means to find all the sets of values of the unknowns (if any) which, when substituted in the given equations, will satisfy all the equations at the same time. If a system of equations has no solution, the equations are "inconsistent;" if it has an infinite number of solutions, the equations are "not all independent." Simultaneous Equations of the First Degree in Two Unknowns. Factors (0162--(J2&i)x = bid--61C2.'. x = (bici--biC2)/(aJii--0261) (ai6--0261)j/ = aiC2--a2Ci.'. y = aid--aici)/(flji%--0261) Here (1) is multiplied by 62, (2) by--61, and the products added so as to eliminate y; again, (1) is multiplied by--02, (2) by ai, and the products added so as to eliminate x. (The process is most conveniently performed as follows: Write the multipliers, as b2 and--61, at the right of the equations; multiply the first term of each equ...


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Product Details
  • ISBN-13: 9781152763500
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 42
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1152763504
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 95 gr


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