Engineering mathematics: programs and problems

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Springer-Verlag, Jan 1, 1991 - Mathematics - 951 pages
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Keeping pace with individual needs and curriculum changes, the new edition of this book once again offers the most complete and accessible reference to the key mathematical techniques used by practicing engineers. The book offers a complete introduction for a review course or a self-paced tutorial suited for a full year's instruction. The 28 programs lead users through the calculations via worked examples--with self-checks along the way.

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Contents

The symbol j powers of j complex numbers
6
Equal complex numbers
14
Graphical addition of complex numbers
20
Exponential form of a complex number
27
Further problems I
33
Introduction
73
Evaluation of hyperbolic functions
83
Hyperbolic identities
91
Test exercise XI
340
Sequences and series
402
Series of powers of natural numbers
409
Tests for convergence absolute convergence
419
Standard series
434
Limiting values
440
Test exercise XIV
450
Test exercise XVI
514

Further problems III
98
Determinants of the third order
109
Consistency of a set of equations
126
Matrices
141
Scalar and vector quantities
189
Components of a given vector
195
Vectors in space
202
Angle between two vectors
211
Differentiation
219
Equation of a straight line
243
Inverse trigonometrical functions
274
Differential coefficients of inverse hyperbolic functions
283
Test exercise IX
294
Rates of change problems
332
Parametric equations
542
s values
549
Introduction
555
Moments of inertia
581
Parallel axes theorem
589
Useful standard results
595
Composite figures
602
Introduction
615
by series
621
Polar Coordinates System
637
Summation in two directions
663
Applications
670
A ltemative notation
687
Copyright

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