Engineering Mathematics

Front Cover
Industrial Press Inc., 2001 - Mathematics - 1236 pages
11 Reviews
A groundbreaking and comprehensive reference with over 500,000 copies sold since it first debuted in 1970, the new fifth edition of Engineering Mathematics has been thoroughly revised and expanded. For the first time, a Personal Tutor CD-ROM is included with every book. Providing a broad mathematical survey, this innovative volume covers a full range of topics from the very basic to the advanced. Whether you're an engineer looking for a useful on-the-job reference or want to improve your mathematical skills, or you are a student who needs an in-depth self-study guide, Engineering Mathematics is sure to come in handy time and time again.
  • Offers a unique programmed approach that takes users through the mathematics in a step-by-step fashion with a wealth of worked examples and exercises.
  • Contains Quizzes, Learning Outcomes and Can You? Checklists that guide readers through each topic and focus understanding.
  • Includes an expanded Foundation section including new chapters on Graphs, Trigonometry, Binomial Series and Functions.
  • Ideal as reference or a self-learning manual.

Extra Bonus! Visit Personal Tutor Online at www.palgrave.com/stroud, the companion website maintained by this book's British publisher, where you'll find hundreds of interactive practice questions and engineering applications questions – putting the mathematics in context.

 

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Contents

Programme F 1 Arithmetic
3
Revision summary
18
Revision summary
35
Revision summary
49
Change of base Denary to binary octal and duodecimal Use of octals
60
Revision summary
66
Programme F 2 Introduction to algebra
73
Revision summary
82
Solution of a set of linear equations Gaussian elimination method
552
Eigenvalues and eigenvectors Eigenvectors
558
Revision summary
564
Can You? Checklist 5
565
Vectors in space
583
Test exercise 6
596
Revision exercise
610
Tangents and normals to a curve at a given point
624

Revision summary
93
Division of one expression by another
99
Revision summary
112
Programme F 3 Expressions and equations
119
Revision summary
130
Factorization of quartic polynomials
140
Programme F 4 Graphs
149
Revision summary
158
Revision summary
170
Programme F 5 Linear equations and simultaneous m
177
Simultaneous linear equations with three unknowns
185
Revision exercise
191
Programme F 6 Polynomial equations
197
Solution of cubic equations having at least one linear factor
205
Revision summary
213
Programme F 7 Partial fractions
219
Revision summary
227
Revision summary
237
Angles Rotation Radians Triangles Trigonometric ratios Reciprocal
243
Revision summary
256
Trigonometric formulas Sums and differences of angles Double
263
Programme F 9 Binomial series
269
Revision summary
278
Revision summary
284
The exponential number e
292
Programme F 10 Differentiati
299
Algebraic determination of the gradient of a curve
306
Derivatives an alternative notation
313
Differentiation of products of functions
319
Revision summary
328
Quiz F ll
334
Functions of a linear function of x
340
Revision summary
346
Integration as a summation The area between a curve and an
352
Revision summary
359
Further problems F ll
365
Programme F 12 Functions
367
Revision summary
381
Trigonometric functions Rotation The tangent Period Amplitude
387
Revision summary
400
Odd and even functions Odd and even parts Odd and even parts of
407
Can You? Checklist F 12
413
Complex numbers
419
Revision exercise
427
Graphical addition of complex numbers
434
Exponential form of a complex number
440
Learning outcomes
447
Revision exercise
455
Loci problems
467
Further problems 2
473
Graphs of hyperbolic functions
479
Inverse hyperbolic functions
486
Relationship between trigonometric and hyperbolic functions
494
Determinants
501
Determinants of the third order Evaluation of a thirdorder
509
Revision exercise
516
Consistency of a set of equations
522
Can You? Checklist 4
531
Matrix notation
538
Special matrices
544
Can You? Checklist 8
639
Derivatives of inverse hyperbolic functions
647
Can You? Checklist 9
663
Revision exercise
680
Rateofchange problems
695
Curves and curve fitting
709
Systematic curve sketching given the equation of the curve
724
Revision summary
742
Series of powers of the natural numbers
755
Convergent and divergent series
761
Series in general Absolute convergence
768
Series 2
775
Standard series
783
Limiting values indeterminate forms
789
Can You? Checklist 14
799
Functions of a linear function of v
807
Integration of products integration by parts
814
Integration of trigonometrical functions
825
Further problems 15
831
Can You? Checklist 16
861
Can You? Checklist 17
876
Integration applications 1
881
Root mean square rms values
894
Centre of gravity of a solid of revolution
910
Further problems 19
923
Perpendicular axes theorem for thin plates
939
Depth of centre of pressure
952
Proof of Simpsons rule
976
Polar coordinates systems
981
Revision summary
1001
Double integrals
1009
Revision exercise
1017
Determination of volumes by multiple integrals
1024
Firstorder differential equations
1031
Revision exercise
1042
Revision exercise
1049
Revision exercise
1059
Revision summary
1066
Revision exercise
1080
Revision summary
1092
Introduction to Laplace transforms
1097
Two properties of Laplace transforms
1103
Laplace transforms of higher derivatives
1109
Can You? Checklist 26
1115
Histograms Frequency histogram Relative frequency histogram
1128
Coding with a grouped frequency distribution
1134
Frequency polygons
1142
Can You? Checklist 27
1149
Learning outcomes
1155
Classical probability
1162
Conditional probability
1168
Permutations and combinations
1174
Mean and standard deviation of a probability distribution
1181
Continuous probability distributions Normal distribution curve
1187
Revision summary
1194
Answers
1200
Further problems F 9 296
1208
Index
1229
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