Derivations of Applied Mathematics
by Thaddeus H. Black
Publisher: Debian Project 2017
Number of pages: 742
This 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, deemphasizing formal mathematical rigor. It derives mathematical results from the purely applied perspective of the scientist and the engineer. This book defines applied mathematics to be correct mathematics useful to scientists, engineers and the like; proceeding not from reduced, well defined sets of axioms but rather directly from a nebulous mass of natural arithmetical, geometrical and classical-algebraic idealizations of physical systems; demonstrable but generally lacking the detailed rigor of the professional mathematician.
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by Andrew Fowler - University of Oxford
This course develops mathematical techniques which are useful in solving 'real-world' problems involving differential equations. The course embraces the ethos of mathematical modelling, and aims to show in a practical way how equations 'work'.
by J. E. Parker - Bookboon
This volume is the second of a three part series of texts taken during a first-year university course. Tutorial questions with fully worked solutions structured on a weekly basis to help the students to self-pace themselves are used.
by J. Bystrom, L. Persson, F. Stromberg - Lulea University of Technology
Topics: dimensional analysis and scaling; perturbation methods; the calculus of variations; the theory of partial differential equations; Sturm-Liouville theory; transform theory with applications; Hamiltonian theory and isoperimetric problems; etc.
by Per Kristen Jakobsen - arXiv.org
The selection of topics in this text has formed the core of a one semester course in applied mathematics at the Arctic University of Norway. The class has, during its existence, drawn participants from both applied mathematics and physics.