Mathematical Tools for Physics
by James Nearing
Publisher: Dover Publications 2010
Number of pages: 569
I intend this for the undergraduate level, providing a one-semester bridge between some of the introductory math courses and the physics courses in which we expect to use the mathematics. This is the course typically called Mathematical Methods in Physics. The text itself has been expanded so that it now contains far more than a one semester course.
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by Cappella Archive - Prasenjit Saha
This is a short book about the principles of data analysis. The emphasis is on why things are done rather than on exactly how to do them. If you already know something about the subject, then working through this book will deepen your understanding.
by Ingrid Daubechies, Shannon Hughes - Princeton University
Designed for those who haven't had college mathematics but would like to understand some applications: Cryptography; Error correction and compression; Probability and Statistics; Birth, Growth, Death and Chaos; Graph Theory; Voting and Social Choice.
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 Sanjoy Mahajan - The MIT Press
The book about the art of guessing results and solving problems without doing a proof or an exact calculation. Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, etc.