Hey I have a degree robotics and moved to theoretical physics so am still struggling to keep up with the mathematics. I was wondering if there are any good workbooks out there where I can just practice a lot of problems, mainly (special functions: Bessel, Legendre, Laplace, Integral transforms, ODEs PDEs and complex variables)?(adsbygoogle = window.adsbygoogle || []).push({});

Also some help with the following problem would be helpful:

If a cube of side length a originally at temp. T[itex]_{0}[/itex] is placed in a reservoir at temp. T=0 K, show the subsequent temp. is :

[itex]T(x,t)[/itex] = [itex] T_0 [/itex] [itex] \Sigma_{l,m,n} [/itex] [itex] 64 \over lmn \pi^3[/itex] [itex] sin[ {{l \pi} \over{a}} x][/itex] [itex] sin[ {{m \pi} \over{a}} y][/itex] [itex] sin[ {{n \pi} \over{a}} z][/itex] [itex] e^{-(l^2 + m^2 + n^2)({\pi \over a})^2 \kappa t}[/itex]

where [itex] \kappa [/itex] is the heat conductivity.

Any help or guidance on how to approach the solution would be much appreciated.

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# Workbook guide +problem in Math. Phys.

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