A Math Primer for Engineers - download pdf or read online

By C.W. Cryer

ISBN-10: 1614992983

ISBN-13: 9781614992981

Arithmetic and engineering are necessarily interrelated, and this interplay will progressively elevate because the use of mathematical modelling grows. even if mathematicians and engineers frequently misunderstand each other, their simple method is kind of comparable, as is the old improvement in their respective disciplines. the aim of this Math Primer is to supply a quick advent to these components of arithmetic that are, or will be, necessary in engineering, specially bioengineering. the purpose is to summarize the tips lined in every one topic quarter with no going into exhaustive element. formulation and equations haven't been refrained from, yet each attempt has been made to maintain them basic within the desire of persuading readers that they're not just worthy but in addition accessible.

the wide variety of subject matters coated  comprises introductory fabric resembling numbers and sequences, geometry in and 3 dimensions, linear algebra, and the calculus. construction on those foundations, linear areas, tensor research and Fourier research are brought. these kind of techniques are used to unravel difficulties for traditional and partial differential equations. Illustrative functions are taken from quite a few engineering disciplines, and the alternative of an acceptable version is taken into account from the viewpoint of either the mathematician and the engineer.

This e-book should be of curiosity to engineers and bioengineers trying to find the mathematical skill to assist additional their paintings, and it'll supply readers a glimpse of many principles that may spark their interest.

IOS Press is a world technological know-how, technical and scientific writer of top of the range books for teachers, scientists, and pros in all fields.

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Extra resources for A Math Primer for Engineers

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G the area A, cannot usually be explicitly found. Instead (a) A systematic procedure is presented for generating a sequence {An } for which it can be shown that {An } converges to a real number A. (b) Different procedures may lead to different sequences {An }, but it is shown that the limit A will always be the same. Thus, A is a well-defined number. If the reader objects that this is not of great use since one needs to know A exactly then it can be pointed out that no one has ever seen π exactly, and no one ever will, but π is none-the-less very useful.

ELEMENTARY FUNCTIONS 33 are the binomial coefficients and n! denotes the product of the first n integers, and is called factorial n. For example 4! = 1 × 2 × 3 × 4 = 24. By definition, 0! = 1. Because of their simplicity, polynomials are often used to approximate data. 1 on page 208) by a polynomial of degree 5. 13) where u = age/100. 1 on page 29. 2 the approximating polynomial of degree 5 was determined using least squares. Another way to approximate data by a polynomial is polynomial interpolation.

1: A piecewise continuous function A piecewise continuous function is a function which is defined on several contiguous regions. On each region the function is continuous, but it may possibly have jumps at the junctions between neighbouring regions. 1. Closely related are the piecewise smooth functions which are defined on several contiguous regions. On each region such a function is “smooth”, but it may possibly have “jumps” at the junctions between neighbouring regions. g. one sketches the contour of an automobile, then the result is piecewise smooth, with abrupt changes such as where the bonnet or hood adjoins the windscreen.

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A Math Primer for Engineers by C.W. Cryer

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