
Cited thousands of times in the scholarly literature, this is a seminal work in Engineering Mathematics. First published in 1962, the 2011 tenth edition of Advanced Engineering Mathematics is currently available. The Wikipedia article on the author states it is "the leading textbook for civil, mechanical, electrical, and chemical engineering undergraduate engineering mathematics." Part of an Open Library list of Classic Engineering Books
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(This sells in India for a mere US $4. Costlier elsewhere.)
Pros:
* This has the most exhaustive catalog of differential equations and methods to solving them that I have ever seen. An example would be the discussion on non-homogenous differential equations that I have never seen anywhere else at all.
* While the subject matter is not easy, the book is complete in itself. A reader would not be led into a "dependency hell" or worse a cyclic dependencies of other materials to read.
Cons:
* Very low quality typesetting, print and paper quality. I wish a improved edition could be in the pipeline, however, the book is rather out of print.
* The book is not focused on differential equations. The other material covered is however a bonus.
Note: The authors were professors at my engineering college. Am however not associated with them in any way and I have no vested interest in recommending the book.
https://www.lesswrong.com/posts/xg3hXCYQPJkwHyik2/the-best-t...
some updates here: https://www.lesswrong.com/posts/tJrEDkbS76xX96YDR/update-the...
It's quite old at this point, but most recommendations should be fairly evergreen.
For plug and chug mathematics from 0 to graduate level try, because it is full of worked examples and exercises, is K.A Stroud Engineering Mathematics, and the Advanced Engineering Mathematics book by the same author. Warning they are Plug and Chug methods, you might also want to take a course on logic and proofs. But if you want to really nail the mechanics of solving typical problems you can't go wrong.
Advanced Engineering Mathematics, 10Ed, Isv https://a.co/d/axcq9nk
It leads the reader from basic arithmetic all the way up to complex analysis, one exercise at a time.