Colin Walker Cryer
A Math Primer for Engineers (PDF) will be of interest to bioengineers and engineers looking for the mathematical means to help further their work; and it will provide readers a glimpse of many ideas that may spark their interest.
Engineering and Mathematics are inevitably interconnected; and this interaction will steadily increase as the use of mathematical modelling grows. Although engineers and mathematicians often misunderstand one another; their fundamental approach is quite similar; as is the historical development of their respective disciplines. The aim of this Math Primer is to give a brief introduction to those parts of mathematics which are; or could be; beneficial in engineering; especially bioengineering. The aim is to condense the ideas covered in each subject area without going into in-depth detail. Equations and formulas have not been avoided; but every effort has been made to keep them simple in the hope of encouraging readers that they are not only helpful but also accessible.
The extensive range of topics covered includes introductory material such as sequences and numbers; geometry in two and three dimensions; calculus; and linear algebra. Building on these foundations; tensor analysis; linear spaces; and Fourier analysis are introduced. All these ideas are used to solve problems for partial and ordinary differential equations. Illustrative applications are taken from a range of engineering disciplines; and the choice of a suitable model is considered from the perspective of both the engineer and the mathematician.
NOTE: The product only includes the ebook; A Math Primer for Engineers in PDF. No access codes are included.