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 David Wright - Washington University in St. Louis
This book is an investigation of the interrelationships between mathematics and music, reviewing the needed concepts in each subject as they are encountered. Along the way, readers will augment their understanding of both mathematics and music.
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 N. L. Carothers - Bowling Green State University
The text is intended as a survey of elementary techniques in Approximation Theory for novices and non-experts. It is sufficient background to facilitate reading more advanced books on the subject. Prerequisites include a course in advanced calculus.
by J.G. Burkill - Tata Institute of Fundamental Research
From the table of contents: Weierstrass's Theorem; The Polynomial of Best Approximation Chebyshev Polynomials; Approximations to abs(x); Trigonometric Polynomials; Inequalities, etc; Approximation in Terms of Differences.