000			03509nam a22002897a 4500
999			_c81433 _d81433
003			CITU
005			20250814100700.0
008			220125b ||||| |||| 00| 0 eng d
020			_a9781606509098
040			_aCITU LRAC _beng
041			_aeng
082	0	0	_a620.00151
100	1		_aReeping, David _eauthor
245	1	0	_aIntroductory engineering mathematics / _cDavid Reeping and Kenneth Reid.
264		1	_aNew York, NY : _bMonacelli Press, _c2017
300			_axiv, 171 pages : _billustrations ; _e23 cm.
336			_2text _atxt _brdacontent
337			_2unmediated _an _brdamedia
338			_avolume _bnc _2rdacarrier
490			_aGeneral engineering and K-12 engineering education collection
500			_aIncludes index.
505	0		_a1. Motivation for engineering mathematics -- 1.1 Abstraction in engineering -- 1.2 Engineering systems as a starting point 2. Solving common engineering problems -- 2.1 Choice of coordinate systems -- 2.1.1 Rectangular coordinates -- 2.1.1.1 Moving to a third dimension -- 2.1.2 Polar coordinates -- 2.1.3 Vectors -- 2.1.3.1 Vector addition and subtraction -- 2.1.3.2 Vector multiplication -- 2.1.4 Manipulating space -- 2.1.5 Complex numbers -- 2.2 Graphical relationships -- angles -- 2.2.1 Useful angle theorems -- 2.2.2 Ideas in trigonometry -- 2.2.2.1 Laws of sines and cosines 3. Employing functions -- 3.1 Relations to functions -- 3.1.1 Composition -- 3.1.2 Inverse functions -- 3.2 Fitting data -- 3.3 Locating roots of a function -- 3.3.1 Locating roots within a tolerance, or "getting close enough" -- 3.4 Functional behavior 4. Using calculus to solve problems -- 4.1 Differential calculus -- 4.2 Integral calculus 5. Inputs and outputs -- 5.1 Classifications -- 5.2 Common manipulations -- 5.3 Special inputs -- 5.3.1 Heaviside unit step, the step function -- 5.3.2 Dirac's Delta function: the impulse function -- 5.4 Inputs in terms of an infinite series -- 5.4.1 Power series -- 5.4.2 Fourier series 6. Engineering systems -- 6.1 A summary and where to go from here -- Index.
520			_aThis text serves as a concise introduction to the ocean of information collectively known as "Engineering Mathematics." Admittedly, compiling everything into a short book that is useful to any audience is an impossible task; therefore, we picked a few main ideas holding up the mathematics within the engineering curriculum instead of stuffing all of the details into such a small package. Our strategy in writing this text was to address conceptual understanding as often as possible; the informal "meet and greets" with common mathematical objects are intended to provide an intuitive basis for the formalized study within an engineering or mathematics course. The intent is to present mathematics as a useful tool within engineering without becoming too bogged down with formalities; therefore, we do not provide rigorous proofs of major theorems. Similarly, we will refer to a particular field for additional information if desired whenever a topic is beyond the scope of the text. We do assume a level of mathematical maturity that amounts to high school Algebra. Whether you are a math or science instructor tasked to teach an engineering class, a high school student looking into engineering, or an engineering student already, we hope you are able to walk away from this text with tangible outcomes--maybe even a refined perspective on the subject.
650		0	_aEngineering mathematics.
700	1		_aReid, Kenneth.
942			_2ddc _cBK _03