The text you are looking for is the classic " Conduction of Heat in Solids
The second edition of by H.S. Carslaw and J.C. Jaeger, published in 1959 by the Clarendon Press (Oxford University Press) , is widely regarded as the "bible" of thermal conduction. Even decades after its release, it remains a primary reference for physicists, engineers, and mathematicians due to its rigorous mathematical treatment and extensive collection of exact solutions. Overview of the 1959 Second Edition Carslaw And Jaeger 1959 Pdf Zip
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