Engineering mathematics II

... liu Bookstore Orders N Books Cardinality : ch nh lng ca mi quan h 1:1 one -to- one 1:N one -to- many M:N many -to- many Modality : cú th cú, cú th khụng cú quan h bt buc cú quan h Customer HUT, ... mm - k c cỏc nhõn s t phớa cụng ty- khỏch hng HUT, Falt of Dept of SE, 2002 SE-III.11 5.2.2 Phõn tớch cỏc yờu cu phn mm v thng lng vi khỏch hng Software Engineering Group HUT, Falt of Custo...

Ngày tải lên: 20/12/2013, 17:15

... Team to explore inclusive teaching in postsecondary science, technology, engineering, and mathematics Resources currently available include: Reaching All Students: A Resource for Teaching in Science, ... Reaching All Students Reaching All Students A Resource for Teaching in Science, Technology, Engineering & Mathematics Second Edit...

Ngày tải lên: 21/02/2014, 09:20

... knowledge of mathematics, may often find difficulty in dealing with problems, through lack of familiarity with these branches of mathematics, which have become of importance in electrical engineering, ... requisite for effective engineering work, Thus the following work is not intended as a complete course in mathematics, but as supplementary to the general college course of mathematic...

Ngày tải lên: 04/06/2014, 12:33

Ngày tải lên: 22/06/2014, 23:37

... this point, we abandon Zills book (since it is inadequate) and go to Erwin Kreyzsig, Advanced Engineering Mathematics, 8th Edition, Wiley 28 Complex and Split (Based on Kreyszig) Simpo PDF Merge ... PDF- z = (x+iy) Split Unregistered Version - http://www.simpopdf.com z Merge and - (x-iy) = 2iy = 2iIm(z) Therefore, Im(z) = Note that zz = (x+iy)(x-iy) = x2-i2y2 = x2+y2 = |z|2 2i (z-z) zz =...

Ngày tải lên: 27/06/2014, 14:20

... ROOT CAUSE FAILURE ANALYSIS PLANT ENGINEERING MAINTENANCE SERIES Vibration Fundamentals R Keith Mobley Root Cause Failure Analysis R Keith Mobley Maintenance Fundamentals R Keith Mobley ROOT ... Keith, 194 3Root cause failure analysis / by R Keith Mobley p cm - (Plant engineering maintenance series) Includes index ISBN 0-7506-7 158-0 (alk paper) Plant...

Ngày tải lên: 27/06/2014, 17:20

... Write z1 = x1 + iy1 and z2 = x2 + iy2 Then |z1 + z2|2 = (x1+x2)2 + (y1+y2)2 = x12 + x22 + 2x1x2 + y12 + y22 + 2y1y2 On the other hand, (|z1| + |z2|)2= |z1|2 + 2|z1||z2| + |z2|2 = x12 + x22 + y12 ... y12 + y22 + 2|z1||z2| Subtracting, (|z1| + |z2|)2 - |z1 + z2|2 = 2|z1||z2| - 2(x1x2 + y1y2) = 2[|(x1,y1)||(x2,y2)| - (x1,y1).(x2,y2)] (in vector form) = 2[|(x1,y1)||(x2,y2)| - |(x1,y1)||(x2,y2)| ....

Ngày tải lên: 08/08/2014, 11:21

... p 817 #1, 3, 5, 11, 13, 17, 21 , 23 31 odd, 35, 37, 45 p 821 #1, 5, 7, 11, 13, 15, 23 Hand In Find functions f that the following: (a) Map the region {z | arg(z) /2} onto the whole plane (b) ... to O C dz where C is the circle |z| = 1+z Exercise Set p 8 32 #17 odd, 17, 23 , 29 p 837 # 1, 5, 9, 11, 13, 15 p 8 42 # 1, 3, 5, 7, 11, 21 Cauchy's Integral Formula This theorem gives the valu...

Ngày tải lên: 08/08/2014, 11:21

... Note: S'pose we want the LFT to take z1Æw1, z2Æw2 and z3Æw3 Consider the LFT: (w - w1)(w2 - w3) (z - z1)(z2 - z3) = (*) (w - w3)(w2 - w1) (z - z3)(z2 - z1) Since plugging in the values (zi, wi) make ... ≤ π Æ Wedge ≤ Arg w ≤ π/4 (Look at the exponential map.) Exercise set p 8 93 # 1– 13 odd, , 21–27 odd p 900 #1, 3, 11, 13, 15, 17 Hand-In: Find an analytic complex function that maps the in...

Ngày tải lên: 08/08/2014, 11:21

... parts of this (B) Potential between two non-coaxial cylinders Find the potential between two cylinders C 1: |z| = being grounded (potential 0) and C2: |z - 0 .4| = 0 .4 having a potential of 110 ... Find the potential, complex potential, equipotential lines, and lines of force of between two parallel plates at x = -5 and x = 10 having potentials 200 and 500 volts respectively Find the potent...

Ngày tải lên: 08/08/2014, 11:21

... the stagnation point, but instead we get: this with t = 12: 48 2 .5 1 .5 0 .5 -0 .5 -1 -1 .5 -2 -2 .5 Notice that the line starting at ( -5, 0) stops when it hits the cylinder because of the stagnation ... ((t^2-k^2-4)^2+4*t^2*k^2)^ .5/ 2 S = (t^2-k^2-4)/2 R + S = (((t^2-k^2-4)^2+4*t^2*k^2)^ .5/ 2+(t^2-k^2-4)/2)^ .5 R - S = (((t^2-k^2-4)^2+4*t^2*k^2)^ .5/ 2-(t^2-k^2-4)/2)^ .5 A= 0. 05...

Ngày tải lên: 08/08/2014, 11:21

... 9/19/05 5:45 PM Page ii fm.qxd 9/19/05 5:45 PM Page iii TH EDITION Advanced Engineering Mathematics ERWIN KREYSZIG Professor of Mathematics Ohio State University Columbus, Ohio JOHN WILEY & SONS, ... 07030, (201) 748-6011, fax (201) 748-6008, E-Mail: PERMREQ@WILEY.COM Kreyszig, Erwin Advanced engineering mathematics / Erwin Kreyszig.—9th ed p cm Accompanied by instructor’s manua...

Ngày tải lên: 08/08/2014, 11:21