Techniques of Applied Mathematics
by Andrew Fowler
Publisher: University of Oxford 2005
Number of pages: 141
This course develops mathematical techniques which are useful in solving 'real-world' problems involving differential equations, and is a development of ideas which arise in the second year differential equations course. The course embraces the ethos of mathematical modelling, and aims to show in a practical way how equations 'work', and what kinds of solution behaviours can occur.
Home page url
Download or read it online for free here:
by Andrew E. Blechman
The author summarizes most of the more advanced mathematical trickery seen in electrodynamics and quantum mechanics in simple and friendly terms with examples. Mathematical tools such as tensors or differential forms are covered in this text.
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 Thaddeus H. Black - Debian Project
The book deals with applied mathematical proofs. It emphasizes underlying mathematical motivation, without full mathematical rigor. Mathematical results are derived from applied perspective of the engineer and the scientist.
by Richard F. Bass
Lecture notes on mathematical finance - figuring out the price of options and derivatives. The text civers elementary probability, the binomial asset pricing model, advanced probability, the continuous model, and term structure models.