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Bird J. — Engineering Mathematics
Bird J. — Engineering Mathematics



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Название: Engineering Mathematics

Автор: Bird J.

Аннотация:

This fourth edition of "Engineering Mathematics" covers a wide range of syllabus requirements. This text will provide a foundation in mathematical principles, which will enable students to solve mathematical, scientific and associated engineering principles. In addition, the material will provide engineering applications and mathematical principles necessary for advancement onto a range of Incorporated Engineer degree profiles. It is widely recognised that a students' ability to use mathematics is a key element in determining subsequent success. First year undergraduates who need some remedial mathematics will
also find this book meets their needs.
In Engineering Mathematics 4th Edition, theory is introduced in each chapter by a simple outline of
essential definitions, formulae, laws and procedures.The theory is kept to a minimum, for problem solving is extensively used to establish and exemplify the theory. It is intended that readers will gain real understanding through seeing problems solved and then through solving similar problems themselves.


Язык: en

Рубрика: Математика/Школьный уровень/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 4-th Edition

Год издания: 2003

Количество страниц: 531

Добавлена в каталог: 18.05.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abscissa      231
Adjoint of matrix      511
Algebra      34 44
Algebraic expression      57
Amplitude      187 190
And-function      483
and-gate      495
Angle of depression      177
Angle of depression, elevation      176
Angles of any magnitude      182
Angles of any magnitude, compound      214
Angles of any magnitude, double      220
Approximations      24
Arc length of sector      140
Arc length of sector of circle      139
Area between curves      454
Area between curves of triangle      198
Area between curves under a curve      448
Area between curves, sector of circle      140
Areas of composite figures      137
Areas of composite figures, irregular figures      161
Areas of composite figures, plane figures      131
Areas of composite figures, similar shapes      138
Argand diagram      292
Argument      296
Arithmetic progression      106
Average value      319
Average value of waveform      164
Base      9 16
BINARY      16
Binary to hexadecimal      21
Binomial distribution      334
Binomial distribution, practical problems      120
Binomial distribution, series      114 115
Binomial distribution, theorem      115
Blunder      24
BODMAS      2 40
Boolean algebra      483
Boolean algebra, laws and rules of      488
Boyle's law      42
Brackets      38
calculations      24 26
Calculator      26 95 100 178
Calculus      375
cancelling      1
Cartesian axes      231
Cartesian axes, co-ordinates      194
Cartesian axes, complex numbers      291
Centre of gravity      466
Centroids      466
Chain rule      389
Change of limits, integration      416
Charles' law      42
Chord      139
circle      139
Circle, equation of      143 267
Circumference      139
class      312
Class interval      312
Co-ordinates      231
Coefficient of correlation      347
Coefficient of correlation, proportionality      42
Combination of waveforms      287
Combinational logic networks      497
Combinations      112 332
Common difference      106
Common difference, logarithms      89
Common difference, ratio      109
Completing the square      82
Complex conjugate      294
Complex conjugate, equations      295
Complex conjugate, numbers      291
Complex conjugate, numbers, applications of      299
Complex conjugate, numbers, powers of      303
Complex conjugate, numbers, roots of      304
Complex conjugate, waveforms      192
Compound angles      214
Computer numbering systems      16
Cone      145
Confidence, coefficient      360
Confidence, intervals      360
Continuous data      307
Continuous data, functions      273
Conversion of a $sin\omega t + b cos\omega t$ into $R sin(\omega t + \alpha)$      216
Conversion of a $sin\omega t + b cos\omega t$ into $R sin(\omega t + \alpha)$, tables and charts      28
Correlation      347
Cosecant      172
Cosine      172
Cosine, rule      198 289
Cosine, wave production      185
Cotangent      172
Couple      491
Cramer's rule      520
Cubic equations      264 266
cuboid      145
Cumulative frequency distribution      313 316
Cylinder      145
de Moivres theorem      303
De Morgan's laws      490
Deciles      324
Decimal fraction      4
Decimal fraction to binary      17 18
Decimal fraction to hexadecimal      21
Decimal fraction, places      5
Decimal fraction, system      16
Decimals      4
Definite integrals      411
Degrees of freedom      365
Denary number      16
Denominator      1
Dependent event      326
Dependent event, variable      42
derivatives      377
Determinant      508 510
Determinant to solve simultaneous equations      514—520
Determination of law      237 243
Determination of law, involving logarithms      246
Diameter      139
Difference of two squares      81
Differential coefficient      377
Differentiation      375
Differentiation from first principles      377
Differentiation of $ax^n$      379
Differentiation of $e^{ax}$ and $\ln ax$      382
Differentiation of product      386
Differentiation of quotient      387
Differentiation of sine and cosine functions      380
Differentiation, applications of      392
Differentiation, function of a function      389
Differentiation, methods of      384
Differentiation, successive      390
DIGITS      4
Direct proportion      3 42
Discontinuous function      273
Discrete data      307
Dividend      44
Divisor      44
Double angles      220
ellipse      267
Equation of a circle      143
Equations, indicial      92
Equations, quadratic      80
Equations, simple      57
Equations, simultaneous      65
Equations, solving by iterative methods      123
Equations, solving by iterative methods, Newton — Raphson      123
Equations, trigonometric      209
Errors      24
Evaluation of formulae      30
Even function      273
Expectation      326
EXPONENT      13
Exponential functions      95
Exponential functions, graphs of      98 102 268
Exponential functions, series      96
Extrapolation      237 352
Factor Theorem      46
Factorization      38 80
False axes      238
Finite discontinuities      273
First moment of area      466 475
Formula      30
Formula, quadratic      84
Formulae, transposition of      74
Fractional form of trigonometric ratios      174
Fractions      1
Fractions, partial      51
frequency      190 307
Frequency, distribution      312 315
Frequency, polygon      313 315
Frustum of pyramids and cones      151
Frustum of sphere      155
Function of a function rule      389
Functional notation      375 377
Functions and their curves      266
Fundamental      192
Geometric progression      109
Gradient of a curve      376
Gradient, straight line graph      231
Graphical solution of equations      258
graphs      230
Graphs of cubic equations      264
Graphs with logarithmic scales      251
Graphs, exponential functions      98
Graphs, linear and quadratic equations simultaneously      9
Graphs, logarithmic functions      93
Graphs, quadratic equations      57
Graphs, simultaneous equations      258
Graphs, straight lines      231
Graphs, trigonometric functions      182 185
Grouped data      312
H.C.F.      36
Harmonic analysis      192
Harmonics      192
Heptagon      131
hexadecimal numbers      20
Hexagon      131
histogram      313 316 321
Histogram of probability      335 337
Hooke's law      42
Horizontal bar chart      308
Hyperbola      267
Hyperbola, rectangular      268
Hyperbolic logarithms      89 100
Identity      57
Identity, trigonometric      208
Imaginary number      291
Improper fraction      1
Independent event      326
Independent event, variable      42
indices      9 36
Indices, laws of      9
Indicial equations      92
Integral calculus      407
Integrals, standard      408
Integration      407
Integration by parts      434
Integration using algebraic substitutions      414
Integration using algebraic substitutions, $t = tan\theta/2$ - substitution      430
Integration using algebraic substitutions, partial fractions      426
Integration using algebraic substitutions, trigonometric substitutions      418
Integration, areas under and between curves      448
Integration, Centroids      466
Integration, mean values      457
Integration, r.m.s. values      459
Integration, second moment of area      475
Integration, volumes      461
intercept      232
Interpolation      237 352
Interval estimate      360
Inverse functions      275
Inverse functions, proportion      3 42
Inverse functions, trigonometric functions      276
Inverse matrix      509 511
Invert-gate      495
Karnaugh maps      491
L.C.M.      1
Lagging angles      188 190 287
Lamina      466
Laws of algebra      34
Laws of algebra, growth and decay      102
Laws of algebra, indices      9 36
Laws of algebra, logarithms      89
Laws of algebra, precedence      2 40
Laws of algebra, probability      326
Laws of Boolean algebra      488
Leading angles      188 190 287
Least-squares regression lines      351
Leibniz notation      377
Limiting value      377
Linear and quadratic equations graphically      263
Linear and quadratic equations simultaneously      87
Linear correlation      347
Linear correlation, regression      351
Log-linear graph paper      254
Log-log graph paper      251
Logarithmic graphs      93 268
Logarithmic graphs, scales      251
Logarithms      89
Logarithms, determination of law      246
Logarithms, graphs of      93
Logic circuits      495
Logic circuits, universal      500
Mantissa      13
Matrices      504
Matrices to solve simultaneous equations      514—516
Matrix      504
Matrix, adjoint      511
Matrix, determinant of      508 510
Matrix, inverse      509 511
Matrix, reciprocal      509
Matrix, unit      508
Maximum value      259 396
Maximum value and minimum problems      399
Mean value of waveform      164
Mean values      319 320 457
measures of central tendency      319
Median      319 320
Mensuration      131
Mid-ordinate rule      161 441 451
Minimum value      259 396
Mixed number      1
Modal value      319 320
Modulus      296
multiple-choice questions      127 224 369 522
Nand-gate      495
Napierian logarithms      89 100
Natural logarithms      89 100
Newton — Raphson method      123
Non-terminating decimal      5
Nor-gate      496
Normal curve      340
Normal curve, distribution      340
Normal curve, equations      351
Normal curve, probability paper      344
Normal curve, standard variate      340
Normals      403
Nose-to-tail method      282
Not-function      484
Not-gate      495
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