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  #1  
Old Tuesday, September 02, 2014
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Default LAGRANGE'S and MONGE' Method

Respected aspirants with Applied Mathematics (esp - Waqas and Outlandish)

Can you share good materials for Lagranges and Monges Methods please?
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Numerical Analysis. NINTH EDITION. Richard L. Burden
and
advanced engineering mathematics by erwin kreyszig

are two good books....

in engineering universities where NA is taught.... most of uni professors opt for numerical analysis by burden
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But it has to do with PDEs and not with Numerical Anaylysis. I mean the Langrange and Monges methods. I am talking with the respective questions from the First Section of Paper 2.

E.g. Paper of 2005

And the complexity of the questions in the paper in Section 1 shows that a complete command on ODEs and PDEs is required. This is insane of FPSC.
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oops i read Langrange and thought you were asking about interpolation :P
my mistake.. please ignore that reply....
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Okies.

So you ve got any suggestions/materials ?
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I am not doing PDE, neither if have done them before. I have left it for the end.
The course for ODE and PDE is hell lot for forty marks :/ as compared to NA or tensors....
My search for books, right at start of preparation of App Maths tells me that following books are good for ODE and PDE

Partial Differential Equations
By Bhamra, Bhamra K. S {this book has perfectly elaborated monge method}

Ordinary and Partial Differential Equations: With Special Functions, Fourier ...
By Ravi P. Agarwal, Donal O'Regan

and

partial differential equation by schaum
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waqas izhar (Tuesday, September 02, 2014)
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Thank you. Yes the course seems enormous.

Are these books available online ?
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they are available online.... on google books
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partial differential equation by schaum can be downloaded
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@outlandish bro please upload its link here if you can. And do you have its hard copy? If not can you get it? I will get it from you soon

@Roshnain you should be able to identify different types of pde. Elliptic, parabolic, first order, second order etc
Then you need to learn to solve them by two methods: separation of variables and Fourier analysis. Use you tube. Oh and you need to learn how they Are formed too.
Mong ki dal we can decide not to eat
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