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A book to introduce engineering and physics students to areas of math that seem to be most important in relation to practical problems. Book was first published in 1962 - so it is a bit out of date - and has had several reprints. Erwin Kreyszig (Jan 6, 1922 - December 12, 2008) was Professor of at Ohio State University, later moved to Carleton University in Ottawa).
The book covers: Ordinary Differential Equations; Ordinary Linear Differential Equations; Power Series Solutions of Diff. Equations; Laplace Transform; Vector Analysis; Line and Surface Integrals; Systems of Linear Equations; Fourier Series and Integrals; Partial Differential Equations; Complex analytic Functions; Conformal Mapping; Complex Integrals; and so on. A very useful book when I did my engineering, though it must be out of date now.
GSC
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What are the compex roots in mathematics?
The complex roots of an equation is any solution to that equation which cannot be expressed in terms of real numbers. For example, the equation 0 = x² + 5 does not have any solution in real numbers. But in complex numbers, it has solutions.
What is the difference between feasible and optimal solution?
The optimal solution is the best feasible solution
What is the solution for 9.4605284 x 1012?
There can be no solution to a number. That is like asking what is the solution to 3!
Why do imaginary solutions come in pairs?
Yes, they do. If a+bi is a solution, a-bi is also a solution.
What is the difference between the root of an equation and the solution of an equation?
Root means solution in this context.
