Derivations of Applied Mathematics is a book of applied mathematical proofs. If you have seen a mathematical result, if you want to know why the result is so, you can look for the proof here.

The book's purpose is to convey the essential ideas underlying the derivations of a large number of mathematical results useful in the modeling of physical systems. To this end, the book emphasizes main threads of mathematical argument and the motivation underlying the main threads, deëmphasizing formal mathematical rigor. It derives mathematical results from the applied perspective of the scientist and the engineer.

Download:

• Thaddeus H. Black. Derivations of Applied Mathematics. 27 Feb. 2023. (PDF, 852 pages, 3212 kiB.)
• The LaTeX source of Derivations.
• For Debian users, Debianization of Derivations: dsc; debian.tar.xz.
• For print, Derivations in two volumes: volume 1; volume 2. (The single-volume format instead however is recommended for electronic reading.)

This book is free software. You can redistribute and/or modify it under the terms of the GNU General Public License, version 2.