A math primer for engineers
Mathematics and engineering are inevitably interrelated, and this interaction will steadily increase as the use of mathematical modelling grows. Although mathematicians and engineers often misunderstand one another, their basic approach is quite similar, as is the historical development of their respective disciplines. The purpose of this Math Primer is to provide a brief introduction to those parts of mathematics which are, or could be, useful in engineering, especially bioengineering. The aim…
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- Full title :A math primer for engineers / Colin Walker Cryer
Summary
Mathematics and engineering are inevitably interrelated, and this interaction will steadily increase as the use of mathematical modelling grows. Although mathematicians and engineers often misunderstand one another, their basic approach is quite similar, as is the historical development of their respective disciplines. The purpose of this Math Primer is to provide a brief introduction to those parts of mathematics which are, or could be, useful in engineering, especially bioengineering. The aim is to summarize the ideas covered in each subject area without going into exhaustive detail. Formulas and equations have not been avoided, but every effort has been made to keep them simple in the hope of persuading readers that they are not only useful but also accessible.
The wide range of topics covered includes introductory material such as numbers and sequences, geometry in two and three dimensions, linear algebra, and the calculus. Building on these foundations, linear spaces, tensor analysis and Fourier analysis are introduced. All these concepts are used to solve problems for ordinary and partial differential equations. Illustrative applications are taken from a variety of engineering disciplines, and the choice of a suitable model is considered from the point of view of both the mathematician and the engineer.
This book will be of interest to engineers and bioengineers looking for the mathematical means to help further their work, and it will offer readers a glimpse of many ideas which may spark their interest.
Edition Statements
- Publication Date:2014
Publication Statements
- Publisher(s):IOS Press
- Place of Publication:Amsterdam
- Language:eng
- Publication Date:2014
The Physical Object
- Description:xv, 495 pages : : ill. ; : 25 cm.
Edition Identifiers
- ISBN:9781614992981, 1614992983
- oclc:ocn900222954
- LC Classification:TA330
- Dewey Decimal:620.00151
Table of Contents
Numbers and Their Representation ; Sequences of Numbers ; Functions of One Variable ; Two-dimensional Analytic Geometry ; Linear Algebra ; Functions of Several Variables ; Calculus ; Linear Spaces ; The Solution of Finite Dimensional Equations ; Tensor Analysis and Differential Geometry ; Modelling Geometric Complexity ; Fourier Analysis ; Ordinary Differential Equations (ODEs) ; Partial Differential Equations (PDEs) ; Modelling ; Computer Software ; Remarks on Mathematical Proofs. -- A. Summary of Mathematical Notation ; B. Comparison of Integrals
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