Derivations of Applied Mathematics
by Thaddeus H. Black
Publisher: Debian Project 2017
Number of pages: 742
Description:
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.
Download or read it online for free here:
Download link
(3.4MB, PDF)
Similar books
Mathematical Methods of Engineering Analysisby Erhan Cinlar, Robert J. Vanderbei
This text covers general notions regarding sets, functions, sequences, and series; metric spaces, convergence, continuity, approximations; functions on metric spaces; differential and integral equations; convex analysis; measure and integration.
(19185 views)
Math Aliveby 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.
(12937 views)
Mathematics and Musicby 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.
(9472 views)
Mathematical Linguisticsby Andras Kornai
The book introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematicians. The book presents linguistics as a cumulative body of knowledge from the ground up: no prior knowledge of linguistics is assumed.
(19583 views)