If formulas have always been your nemeses, this book is for you! Thoroughly practical and authoritative, this book brings together, in three parts, thousands of formulas, rules, and figures to simplify, review, or to refresh the user's memory of what he/she studied in school. This desktop reference shows how to solve every kind of math and physics problem you're likely to encounter in school and business, and it explains simply and easily how to find answers fast, learn key formulas and definitions, study quickly and learn more effectively--from fundamental mathematical rules to physical definitions and constants.
- Presents all formulas, rules, and definitions precisely, simply, and clearly.
- Covers metric units of measurement, U.S. units of measurement (USCS), tables of equivalents metrics and USCS units.
- Reviews the fundamentals of algebra, geometry, trigonometry, and analytical geometry.
- Presents the application of differential equations and integral calculus.
- Solves problems concerning simple interest, compound interest, effective rate, annuity, amortization of loans, and sinking fund payment.
- Shows the comparative advantages of binomial distribution, standard distribution, Poisson distribution, and normal distribution.
- Includes most used definitions and formulas of kinematics, dynamics, statics, mechanics of fluids, thermal variable of state, thermodynamics, electricity and magnetism, light, and basic definition of atomic and nuclear physics.
- Offers most used fundamentals of physical constants.
Author(s): Vukota Boljanovic
Publisher: Industrial Press, Inc.
Year: 2006
Language: English
Pages: 224
Tags: Физика;Справочники, каталоги, таблицы;
Front Matter......Page 1
Preface......Page 3
Table of Contents......Page 5
Part I. Units......Page 21
1.2 SI Derived Units......Page 22
1.3 SI Derived Units with Special Names and Symbols......Page 23
1.4 SI Derived Units Whose Names and Symbols Include SI Derived Units with Special Names and Symbols......Page 25
1.5 Units Outside the SI That are Accepted for Use with the SI......Page 26
1.6 SI Prefixes......Page 27
Part I. Units......Page 29
1.2 SI Derived Units......Page 30
1.3 SI Derived Units with Special Names and Symbols......Page 31
1.4 SI Derived Units Whose Names and Symbols Include SI Derived Units with Special Names and Symbols......Page 33
1.5 Units Outside the SI That are Accepted for Use with the SI......Page 34
1.6 SI Prefixes......Page 35
2.1 Units of Length......Page 37
2.3 Units of Liquid Value......Page 38
2.5 Units of Mass......Page 39
3.2 Units of Area......Page 40
3.4 Units of Volume......Page 41
3.7 Avoirdupois Units of Mass......Page 42
3.9 Troy Units of Mass......Page 43
4.1 Units of Length......Page 44
4.2 Units of Area......Page 46
4.3 Units of Volume......Page 47
4.4 Units of Mass......Page 48
Part II. Mathematics......Page 50
5. Algebra......Page 51
5.1 Sets of Real Numbers......Page 52
5.3 Properties of Equality......Page 53
5.4 Properties of Fractions......Page 54
5.6 Real Number Line......Page 55
5.7 Interval......Page 56
5.8 Absolute Value......Page 57
5.10 Definition of Positive Integer Exponents......Page 58
5.13 Properties of Exponents......Page 59
5.15 Properties of Radicals......Page 60
5.17 Factoring Polynomials......Page 61
5.18 Order of Operations......Page 62
5.21 Dividing Polynomials......Page 64
5.22 Rational Expressions......Page 65
5.23 Complex Fractions......Page 68
5.24 Definition of a Complex Number......Page 69
5.26 Addition and Multiplication Properties of Equality......Page 71
5.27 Systems of Linear Equations......Page 72
5.28 Determinants......Page 74
5.29 Quadratic Equations......Page 76
5.31 Arithmetic Sequence......Page 81
5.32 Arithmetic Series......Page 82
5.33 Geometric Sequences......Page 83
5.34 Geometric Series......Page 84
5.35 Binomial Theorem......Page 86
5.37 Linear Functions......Page 88
5.38 Forms of Linear Equations......Page 89
5.39 Quadratic Functions......Page 90
5.41 Exponential Functions......Page 92
5.42 Natural Exponential Function......Page 93
5.43 Logarithmic Functions......Page 94
Part II. Mathematics......Page 97
5. Algebra......Page 98
5.1 Sets of Real Numbers......Page 99
5.3 Properties of Equality......Page 100
5.4 Properties of Fractions......Page 101
5.6 Real Number Line......Page 102
5.7 Interval......Page 103
5.8 Absolute Value......Page 104
5.10 Definition of Positive Integer Exponents......Page 105
5.13 Properties of Exponents......Page 106
5.15 Properties of Radicals......Page 107
5.17 Factoring Polynomials......Page 108
5.18 Order of Operations......Page 109
5.21 Dividing Polynomials......Page 111
5.22 Rational Expressions......Page 112
5.23 Complex Fractions......Page 115
5.24 Definition of a Complex Number......Page 116
5.26 Addition and Multiplication Properties of Equality......Page 118
5.27 Systems of Linear Equations......Page 119
5.28 Determinants......Page 121
5.29 Quadratic Equations......Page 123
5.31 Arithmetic Sequence......Page 128
5.32 Arithmetic Series......Page 129
5.33 Geometric Sequences......Page 130
5.34 Geometric Series......Page 131
5.35 Binomial Theorem......Page 133
5.37 Linear Functions......Page 135
5.38 Forms of Linear Equations......Page 136
5.39 Quadratic Functions......Page 137
5.41 Exponential Functions......Page 139
5.42 Natural Exponential Function......Page 140
5.43 Logarithmic Functions......Page 141
6. Geometry......Page 144
6.3 Acute Angles......Page 145
6.7 Supplementary Angles......Page 146
6.9 Alternate Interior Angles......Page 147
6.12 Angle Bisector......Page 148
6.15 Oblique Triangle......Page 149
6.18 Similarity of Triangles......Page 151
6.19 The Law of Cosines......Page 152
6.21 Right Triangle......Page 153
6.23 Pythagorean Theorem......Page 155
6.24 Equilateral Triangles......Page 156
6.25 Isosceles Triangle......Page 157
6.26 Square......Page 158
6.27 Rectangle......Page 159
6.28 Parallelogram......Page 160
6.29 Rhombus......Page 161
6.30 Trapezoid 䄀洀攀爀椀挀愀渀 䐀攀昀椀渀椀琀椀漀渀......Page 162
6.31 Kite......Page 163
6.32 Regular Polygons......Page 164
6.33 Circle......Page 165
6.34 Sector of a Circle......Page 166
6.35 Segment of a Circle......Page 167
6.37 Ellipse......Page 168
6.39 Cuboid......Page 170
6.40 Right Prism......Page 171
6.41 Pyramid......Page 172
6.43 Cone......Page 173
6.44 Frustum of Cone......Page 175
6.45 Cylinder......Page 176
6.46 Hollow Cylinder......Page 177
6.48 Sphere......Page 178
6.49 Spherical Cap......Page 179
6.51 Zone of a Sphere......Page 180
6.52 Torus......Page 181
6.53 Ellipsoid......Page 182
6.54 Barrel......Page 183
7. Trigonometry......Page 184
7.1 Circular and Angular Measures......Page 185
7.2 Trigonometric Circle......Page 186
7.3 Basic Formulas......Page 187
7.4 Trigonometric Ratios for Right Angled Triangles......Page 188
7.5 Sum and Difference of Functions of Angles......Page 189
7.8 Half Angle Formulas......Page 190
7.9 Functions of Important Angles......Page 191
7.10 Solving Trigonometric Equations......Page 192
7.11 Verifying Trigonometric Identities......Page 194
7.13 Graphs of the Tangent and Cotangent Functions......Page 196
8. Analytical Geometry......Page 198
8.2 Point of Division......Page 199
8.3 Inclination and Slope of a Line......Page 200
8.4 Parallel and Perpendicular Lines......Page 201
8.6 Triangle......Page 202
8.7. The Equation for a Straight Line through a Point......Page 203
8.10 Intercept Form Equation of the Straight Line......Page 204
8.12 Normal Equation of a Straight Line......Page 205
8.13 Distance from a Line to a Point......Page 206
8.14 Circles......Page 207
8.15 Ellipses......Page 209
8.16 Parabolas......Page 211
8.17 Hyperbolas......Page 212
8.18 Polar Coordinates......Page 214
8.19 Cartesian Coordinates......Page 215
8.20 Distance between Two Points......Page 216
8.21 Angle between Two Lines......Page 217
8.24 Parallel and Perpendicular Planes......Page 219
8.26 Normal Form......Page 220
8.28 Angle between Two Planes......Page 221
8.30 Parametric Form Equations of a Line......Page 222
8.31 Symmetric Form Equations of a Line......Page 223
8.34 The Sphere......Page 224
8.35 The Ellipsoid......Page 225
8.36 Hyperboloid......Page 226
8.37 Elliptic Paraboloid......Page 227
8.38 Hyperbolic Paraboloid......Page 228
8.39 Cylindrical Surface......Page 229
9. Mathematics of Finance......Page 230
9.1 Simple Interest......Page 231
9.2 Compound Interest......Page 232
9.3 Annuities......Page 235
9.5 Sinking Fund Payment......Page 238
10. Calculus......Page 240
10.2 Rule for Limits......Page 241
10.3 Slope of Tangent Line......Page 242
10.4 Definition of the Derivative......Page 243
10.7 Maximum and Minimum Function y = f 砀......Page 248
10.9 Integration......Page 249
10.10 Basic Integration Rules......Page 250
10.11 Integration by Substitution......Page 251
10.12 Basic Integrals......Page 253
10.13 Arc Length......Page 262
10.14 Finding an Area and a Volume......Page 263
10.15 Finding the Area between Two Curves......Page 264
11. Statistics......Page 266
11.1 Definition of Set and Notation......Page 267
11.3 Venn Diagrams......Page 268
11.4 Operations on Sets......Page 269
11.6 Counting the Elements in a Set......Page 270
11.7 Permutations......Page 271
11.9 Probability Terminology......Page 272
11.10 Basic Probability Principles......Page 273
11.12 Mean Value x with Bar or Expected Value µ......Page 274
11.14 Standard Deviation......Page 275
11.15 Normal Distribution......Page 276
11.16 Binomial Distribution......Page 277
11.17 Poisson Distribution......Page 278
11.18 Exponential Distribution......Page 279
11.19 General Reliability Definitions......Page 280
11.20 Exponential Distribution Used as Reliability Function......Page 281
Part III. Physics......Page 283
12. Mechanics......Page 284
12.3 Acceleration......Page 285
12.8 Angular Velocity......Page 286
12.11 Uniform Linear Motion......Page 287
12.12 Uniform Accelerated Linear Motion......Page 288
12.13 Rotational Motion......Page 289
12.14 Uniform Rotation about a Fixed Axis......Page 291
12.15 Uniform Accelerated Rotation about a Fixed Axis......Page 292
12.16 Simple Harmonic Motion......Page 293
12.17 Pendulum......Page 295
12.18 Free Fall......Page 296
12.19 Vertical Projection......Page 297
12.20 Angled Projection......Page 298
12.21 Horizontal Projection 愀氀瀀栀愀 㴀 ......Page 299
12.22 Sliding Motion on an Inclined Plane......Page 300
12.23 Rolling Motion on an Inclined Plane......Page 301
12.26 Newton's Third Law......Page 304
12.29 Law of Conservation of Momentum......Page 305
12.30 Friction......Page 306
12.31 General Law of Gravity......Page 307
12.33 Centrifugal Force......Page 308
12.34 Centripetal Force......Page 309
12.36 Work......Page 310
12.37 Energy......Page 312
12.38 Conservation of Energy......Page 313
12.40 Power......Page 314
12.41 Resolution of a Force......Page 315
12.43 Mechanical Advantage of Simple Machines......Page 316
12.45 Wheel and Axle......Page 317
12.46 The Pulley......Page 318
12.47 The Inclined Plane......Page 319
12.48 The Wedge......Page 320
12.49 The Screw......Page 321
Part III. Physics......Page 322
12. Mechanics......Page 323
12.3 Acceleration......Page 324
12.8 Angular Velocity......Page 325
12.11 Uniform Linear Motion......Page 326
12.12 Uniform Accelerated Linear Motion......Page 327
12.13 Rotational Motion......Page 328
12.14 Uniform Rotation about a Fixed Axis......Page 330
12.15 Uniform Accelerated Rotation about a Fixed Axis......Page 331
12.16 Simple Harmonic Motion......Page 332
12.17 Pendulum......Page 334
12.18 Free Fall......Page 335
12.19 Vertical Projection......Page 336
12.20 Angled Projection......Page 337
12.21 Horizontal Projection 愀氀瀀栀愀 㴀 ......Page 338
12.22 Sliding Motion on an Inclined Plane......Page 339
12.23 Rolling Motion on an Inclined Plane......Page 340
12.26 Newton's Third Law......Page 343
12.29 Law of Conservation of Momentum......Page 344
12.30 Friction......Page 345
12.31 General Law of Gravity......Page 346
12.33 Centrifugal Force......Page 347
12.34 Centripetal Force......Page 348
12.36 Work......Page 349
12.37 Energy......Page 351
12.38 Conservation of Energy......Page 352
12.40 Power......Page 353
12.41 Resolution of a Force......Page 354
12.43 Mechanical Advantage of Simple Machines......Page 355
12.45 Wheel and Axle......Page 356
12.46 The Pulley......Page 357
12.47 The Inclined Plane......Page 358
12.48 The Wedge......Page 359
12.49 The Screw......Page 360
13. Mechanics of Fluids......Page 361
13.2 Viscosity......Page 362
13.3 Pressure of Solid......Page 363
13.4 Pressure of Liquids......Page 364
13.5 Force Exerted by Liquids......Page 365
13.6 Pascal's Principle......Page 366
13.8 Buoyant Force......Page 367
13.10 Conservation of Mass......Page 369
13.11 Bernoulli's Equation......Page 370
14. Temperature and Heat......Page 372
14.2 Temperature......Page 373
14.4 Specific Volume......Page 374
14.5 Molar Mass......Page 375
14.7 Heat......Page 376
14.10 Expansion of Solid Bodies......Page 377
14.11 Expansion of Liquids......Page 378
14.13 Fusion......Page 379
14.15 Equation of State......Page 380
14.17 Boyle's Law for Pressure......Page 381
14.19 Dalton's Law of Partial Pressures......Page 382
14.21 The First Law of Thermodynamics......Page 383
14.22 The Second Law of Thermodynamics......Page 384
14.23 The Third Law of Thermodynamics......Page 386
15. Electricity and Magnetism......Page 387
15.2 Electric Fields......Page 388
15.3 Electric Flux......Page 389
15.4 Gauss' Law......Page 390
15.5 Electric Potential......Page 391
15.7 Capacitance......Page 392
15.8 Capacitor......Page 393
15.9 Electric Current......Page 394
15.12 Resistance......Page 395
15.13 Ohm's Law......Page 396
15.15 Parallel Circuits......Page 397
15.16 Series-Parallel Circuit......Page 398
15.17 Joule's Law......Page 399
15.18 Kirchhoff's Junction Law......Page 400
15.19 Kirchhoff's Loop Law......Page 401
15.21 Internal Resistance......Page 402
15.23 Force on a Current-Carrying Wire......Page 403
15.25 Magnetic Field of a Loop......Page 404
15.27 Properties of Alternating Current......Page 405
15.30 Wavelength......Page 406
15.32 Effective Current and Voltage......Page 407
15.34 Ohm's Law of AC Current Containing Only Resistance......Page 408
15.36 Changing Voltage with Transformers......Page 409
15.37 Inductive Reactance......Page 410
15.38 Inductance and Resistance in Series......Page 411
15.40 Capacitance and Resistance in a Series......Page 412
15.41 Capacitance, Inductance, and Resistance in Series......Page 414
15.42 Power in AC Circuits......Page 415
15.43 Parallel Circuit......Page 417
16. Light......Page 419
16.3 Light as a Particle......Page 420
16.5 Luminous Flux......Page 421
16.7 Illuminance......Page 422
16.8 Luminance......Page 423
16.10 Refraction......Page 424
16.11 Polarization......Page 426
16.14 Convex Mirrors......Page 427
16.16 Lens Equation......Page 428
17. Wave Motion and Sound......Page 430
17.2 Wavelength......Page 431
17.6 Period......Page 432
17.8 The Sinusoidal Wave......Page 433
17.10 Electromagnetic Energy......Page 435
17.12 Sound Waves......Page 436
17.14 Sound Speed in Gases......Page 437
17.15 The Doppler Effect......Page 438
Appendix: Fundamental Physical Constants......Page 439
A......Page 442
B......Page 443
C......Page 444
D......Page 446
E......Page 447
F......Page 448
G......Page 449
I......Page 450
L......Page 452
M......Page 453
N......Page 454
O......Page 455
P......Page 456
R......Page 458
S......Page 459
T......Page 462
W......Page 463
Z......Page 464
Preface......Page 3
Table of Contents......Page 5
Part I. Units......Page 21
1.2 SI Derived Units......Page 22
1.3 SI Derived Units with Special Names and Symbols......Page 23
1.4 SI Derived Units Whose Names and Symbols Include SI Derived Units with Special Names and Symbols......Page 25
1.5 Units Outside the SI That are Accepted for Use with the SI......Page 26
1.6 SI Prefixes......Page 27
Part I. Units......Page 29
1.2 SI Derived Units......Page 30
1.3 SI Derived Units with Special Names and Symbols......Page 31
1.4 SI Derived Units Whose Names and Symbols Include SI Derived Units with Special Names and Symbols......Page 33
1.5 Units Outside the SI That are Accepted for Use with the SI......Page 34
1.6 SI Prefixes......Page 35
2.1 Units of Length......Page 37
2.3 Units of Liquid Value......Page 38
2.5 Units of Mass......Page 39
3.2 Units of Area......Page 40
3.4 Units of Volume......Page 41
3.7 Avoirdupois Units of Mass......Page 42
3.9 Troy Units of Mass......Page 43
4.1 Units of Length......Page 44
4.2 Units of Area......Page 46
4.3 Units of Volume......Page 47
4.4 Units of Mass......Page 48
Part II. Mathematics......Page 50
5. Algebra......Page 51
5.1 Sets of Real Numbers......Page 52
5.3 Properties of Equality......Page 53
5.4 Properties of Fractions......Page 54
5.6 Real Number Line......Page 55
5.7 Interval......Page 56
5.8 Absolute Value......Page 57
5.10 Definition of Positive Integer Exponents......Page 58
5.13 Properties of Exponents......Page 59
5.15 Properties of Radicals......Page 60
5.17 Factoring Polynomials......Page 61
5.18 Order of Operations......Page 62
5.21 Dividing Polynomials......Page 64
5.22 Rational Expressions......Page 65
5.23 Complex Fractions......Page 68
5.24 Definition of a Complex Number......Page 69
5.26 Addition and Multiplication Properties of Equality......Page 71
5.27 Systems of Linear Equations......Page 72
5.28 Determinants......Page 74
5.29 Quadratic Equations......Page 76
5.31 Arithmetic Sequence......Page 81
5.32 Arithmetic Series......Page 82
5.33 Geometric Sequences......Page 83
5.34 Geometric Series......Page 84
5.35 Binomial Theorem......Page 86
5.37 Linear Functions......Page 88
5.38 Forms of Linear Equations......Page 89
5.39 Quadratic Functions......Page 90
5.41 Exponential Functions......Page 92
5.42 Natural Exponential Function......Page 93
5.43 Logarithmic Functions......Page 94
Part II. Mathematics......Page 97
5. Algebra......Page 98
5.1 Sets of Real Numbers......Page 99
5.3 Properties of Equality......Page 100
5.4 Properties of Fractions......Page 101
5.6 Real Number Line......Page 102
5.7 Interval......Page 103
5.8 Absolute Value......Page 104
5.10 Definition of Positive Integer Exponents......Page 105
5.13 Properties of Exponents......Page 106
5.15 Properties of Radicals......Page 107
5.17 Factoring Polynomials......Page 108
5.18 Order of Operations......Page 109
5.21 Dividing Polynomials......Page 111
5.22 Rational Expressions......Page 112
5.23 Complex Fractions......Page 115
5.24 Definition of a Complex Number......Page 116
5.26 Addition and Multiplication Properties of Equality......Page 118
5.27 Systems of Linear Equations......Page 119
5.28 Determinants......Page 121
5.29 Quadratic Equations......Page 123
5.31 Arithmetic Sequence......Page 128
5.32 Arithmetic Series......Page 129
5.33 Geometric Sequences......Page 130
5.34 Geometric Series......Page 131
5.35 Binomial Theorem......Page 133
5.37 Linear Functions......Page 135
5.38 Forms of Linear Equations......Page 136
5.39 Quadratic Functions......Page 137
5.41 Exponential Functions......Page 139
5.42 Natural Exponential Function......Page 140
5.43 Logarithmic Functions......Page 141
6. Geometry......Page 144
6.3 Acute Angles......Page 145
6.7 Supplementary Angles......Page 146
6.9 Alternate Interior Angles......Page 147
6.12 Angle Bisector......Page 148
6.15 Oblique Triangle......Page 149
6.18 Similarity of Triangles......Page 151
6.19 The Law of Cosines......Page 152
6.21 Right Triangle......Page 153
6.23 Pythagorean Theorem......Page 155
6.24 Equilateral Triangles......Page 156
6.25 Isosceles Triangle......Page 157
6.26 Square......Page 158
6.27 Rectangle......Page 159
6.28 Parallelogram......Page 160
6.29 Rhombus......Page 161
6.30 Trapezoid 䄀洀攀爀椀挀愀渀 䐀攀昀椀渀椀琀椀漀渀......Page 162
6.31 Kite......Page 163
6.32 Regular Polygons......Page 164
6.33 Circle......Page 165
6.34 Sector of a Circle......Page 166
6.35 Segment of a Circle......Page 167
6.37 Ellipse......Page 168
6.39 Cuboid......Page 170
6.40 Right Prism......Page 171
6.41 Pyramid......Page 172
6.43 Cone......Page 173
6.44 Frustum of Cone......Page 175
6.45 Cylinder......Page 176
6.46 Hollow Cylinder......Page 177
6.48 Sphere......Page 178
6.49 Spherical Cap......Page 179
6.51 Zone of a Sphere......Page 180
6.52 Torus......Page 181
6.53 Ellipsoid......Page 182
6.54 Barrel......Page 183
7. Trigonometry......Page 184
7.1 Circular and Angular Measures......Page 185
7.2 Trigonometric Circle......Page 186
7.3 Basic Formulas......Page 187
7.4 Trigonometric Ratios for Right Angled Triangles......Page 188
7.5 Sum and Difference of Functions of Angles......Page 189
7.8 Half Angle Formulas......Page 190
7.9 Functions of Important Angles......Page 191
7.10 Solving Trigonometric Equations......Page 192
7.11 Verifying Trigonometric Identities......Page 194
7.13 Graphs of the Tangent and Cotangent Functions......Page 196
8. Analytical Geometry......Page 198
8.2 Point of Division......Page 199
8.3 Inclination and Slope of a Line......Page 200
8.4 Parallel and Perpendicular Lines......Page 201
8.6 Triangle......Page 202
8.7. The Equation for a Straight Line through a Point......Page 203
8.10 Intercept Form Equation of the Straight Line......Page 204
8.12 Normal Equation of a Straight Line......Page 205
8.13 Distance from a Line to a Point......Page 206
8.14 Circles......Page 207
8.15 Ellipses......Page 209
8.16 Parabolas......Page 211
8.17 Hyperbolas......Page 212
8.18 Polar Coordinates......Page 214
8.19 Cartesian Coordinates......Page 215
8.20 Distance between Two Points......Page 216
8.21 Angle between Two Lines......Page 217
8.24 Parallel and Perpendicular Planes......Page 219
8.26 Normal Form......Page 220
8.28 Angle between Two Planes......Page 221
8.30 Parametric Form Equations of a Line......Page 222
8.31 Symmetric Form Equations of a Line......Page 223
8.34 The Sphere......Page 224
8.35 The Ellipsoid......Page 225
8.36 Hyperboloid......Page 226
8.37 Elliptic Paraboloid......Page 227
8.38 Hyperbolic Paraboloid......Page 228
8.39 Cylindrical Surface......Page 229
9. Mathematics of Finance......Page 230
9.1 Simple Interest......Page 231
9.2 Compound Interest......Page 232
9.3 Annuities......Page 235
9.5 Sinking Fund Payment......Page 238
10. Calculus......Page 240
10.2 Rule for Limits......Page 241
10.3 Slope of Tangent Line......Page 242
10.4 Definition of the Derivative......Page 243
10.7 Maximum and Minimum Function y = f 砀......Page 248
10.9 Integration......Page 249
10.10 Basic Integration Rules......Page 250
10.11 Integration by Substitution......Page 251
10.12 Basic Integrals......Page 253
10.13 Arc Length......Page 262
10.14 Finding an Area and a Volume......Page 263
10.15 Finding the Area between Two Curves......Page 264
11. Statistics......Page 266
11.1 Definition of Set and Notation......Page 267
11.3 Venn Diagrams......Page 268
11.4 Operations on Sets......Page 269
11.6 Counting the Elements in a Set......Page 270
11.7 Permutations......Page 271
11.9 Probability Terminology......Page 272
11.10 Basic Probability Principles......Page 273
11.12 Mean Value x with Bar or Expected Value µ......Page 274
11.14 Standard Deviation......Page 275
11.15 Normal Distribution......Page 276
11.16 Binomial Distribution......Page 277
11.17 Poisson Distribution......Page 278
11.18 Exponential Distribution......Page 279
11.19 General Reliability Definitions......Page 280
11.20 Exponential Distribution Used as Reliability Function......Page 281
Part III. Physics......Page 283
12. Mechanics......Page 284
12.3 Acceleration......Page 285
12.8 Angular Velocity......Page 286
12.11 Uniform Linear Motion......Page 287
12.12 Uniform Accelerated Linear Motion......Page 288
12.13 Rotational Motion......Page 289
12.14 Uniform Rotation about a Fixed Axis......Page 291
12.15 Uniform Accelerated Rotation about a Fixed Axis......Page 292
12.16 Simple Harmonic Motion......Page 293
12.17 Pendulum......Page 295
12.18 Free Fall......Page 296
12.19 Vertical Projection......Page 297
12.20 Angled Projection......Page 298
12.21 Horizontal Projection 愀氀瀀栀愀 㴀 ......Page 299
12.22 Sliding Motion on an Inclined Plane......Page 300
12.23 Rolling Motion on an Inclined Plane......Page 301
12.26 Newton's Third Law......Page 304
12.29 Law of Conservation of Momentum......Page 305
12.30 Friction......Page 306
12.31 General Law of Gravity......Page 307
12.33 Centrifugal Force......Page 308
12.34 Centripetal Force......Page 309
12.36 Work......Page 310
12.37 Energy......Page 312
12.38 Conservation of Energy......Page 313
12.40 Power......Page 314
12.41 Resolution of a Force......Page 315
12.43 Mechanical Advantage of Simple Machines......Page 316
12.45 Wheel and Axle......Page 317
12.46 The Pulley......Page 318
12.47 The Inclined Plane......Page 319
12.48 The Wedge......Page 320
12.49 The Screw......Page 321
Part III. Physics......Page 322
12. Mechanics......Page 323
12.3 Acceleration......Page 324
12.8 Angular Velocity......Page 325
12.11 Uniform Linear Motion......Page 326
12.12 Uniform Accelerated Linear Motion......Page 327
12.13 Rotational Motion......Page 328
12.14 Uniform Rotation about a Fixed Axis......Page 330
12.15 Uniform Accelerated Rotation about a Fixed Axis......Page 331
12.16 Simple Harmonic Motion......Page 332
12.17 Pendulum......Page 334
12.18 Free Fall......Page 335
12.19 Vertical Projection......Page 336
12.20 Angled Projection......Page 337
12.21 Horizontal Projection 愀氀瀀栀愀 㴀 ......Page 338
12.22 Sliding Motion on an Inclined Plane......Page 339
12.23 Rolling Motion on an Inclined Plane......Page 340
12.26 Newton's Third Law......Page 343
12.29 Law of Conservation of Momentum......Page 344
12.30 Friction......Page 345
12.31 General Law of Gravity......Page 346
12.33 Centrifugal Force......Page 347
12.34 Centripetal Force......Page 348
12.36 Work......Page 349
12.37 Energy......Page 351
12.38 Conservation of Energy......Page 352
12.40 Power......Page 353
12.41 Resolution of a Force......Page 354
12.43 Mechanical Advantage of Simple Machines......Page 355
12.45 Wheel and Axle......Page 356
12.46 The Pulley......Page 357
12.47 The Inclined Plane......Page 358
12.48 The Wedge......Page 359
12.49 The Screw......Page 360
13. Mechanics of Fluids......Page 361
13.2 Viscosity......Page 362
13.3 Pressure of Solid......Page 363
13.4 Pressure of Liquids......Page 364
13.5 Force Exerted by Liquids......Page 365
13.6 Pascal's Principle......Page 366
13.8 Buoyant Force......Page 367
13.10 Conservation of Mass......Page 369
13.11 Bernoulli's Equation......Page 370
14. Temperature and Heat......Page 372
14.2 Temperature......Page 373
14.4 Specific Volume......Page 374
14.5 Molar Mass......Page 375
14.7 Heat......Page 376
14.10 Expansion of Solid Bodies......Page 377
14.11 Expansion of Liquids......Page 378
14.13 Fusion......Page 379
14.15 Equation of State......Page 380
14.17 Boyle's Law for Pressure......Page 381
14.19 Dalton's Law of Partial Pressures......Page 382
14.21 The First Law of Thermodynamics......Page 383
14.22 The Second Law of Thermodynamics......Page 384
14.23 The Third Law of Thermodynamics......Page 386
15. Electricity and Magnetism......Page 387
15.2 Electric Fields......Page 388
15.3 Electric Flux......Page 389
15.4 Gauss' Law......Page 390
15.5 Electric Potential......Page 391
15.7 Capacitance......Page 392
15.8 Capacitor......Page 393
15.9 Electric Current......Page 394
15.12 Resistance......Page 395
15.13 Ohm's Law......Page 396
15.15 Parallel Circuits......Page 397
15.16 Series-Parallel Circuit......Page 398
15.17 Joule's Law......Page 399
15.18 Kirchhoff's Junction Law......Page 400
15.19 Kirchhoff's Loop Law......Page 401
15.21 Internal Resistance......Page 402
15.23 Force on a Current-Carrying Wire......Page 403
15.25 Magnetic Field of a Loop......Page 404
15.27 Properties of Alternating Current......Page 405
15.30 Wavelength......Page 406
15.32 Effective Current and Voltage......Page 407
15.34 Ohm's Law of AC Current Containing Only Resistance......Page 408
15.36 Changing Voltage with Transformers......Page 409
15.37 Inductive Reactance......Page 410
15.38 Inductance and Resistance in Series......Page 411
15.40 Capacitance and Resistance in a Series......Page 412
15.41 Capacitance, Inductance, and Resistance in Series......Page 414
15.42 Power in AC Circuits......Page 415
15.43 Parallel Circuit......Page 417
16. Light......Page 419
16.3 Light as a Particle......Page 420
16.5 Luminous Flux......Page 421
16.7 Illuminance......Page 422
16.8 Luminance......Page 423
16.10 Refraction......Page 424
16.11 Polarization......Page 426
16.14 Convex Mirrors......Page 427
16.16 Lens Equation......Page 428
17. Wave Motion and Sound......Page 430
17.2 Wavelength......Page 431
17.6 Period......Page 432
17.8 The Sinusoidal Wave......Page 433
17.10 Electromagnetic Energy......Page 435
17.12 Sound Waves......Page 436
17.14 Sound Speed in Gases......Page 437
17.15 The Doppler Effect......Page 438
Appendix: Fundamental Physical Constants......Page 439
A......Page 442
B......Page 443
C......Page 444
D......Page 446
E......Page 447
F......Page 448
G......Page 449
I......Page 450
L......Page 452
M......Page 453
N......Page 454
O......Page 455
P......Page 456
R......Page 458
S......Page 459
T......Page 462
W......Page 463
Z......Page 464