The Handy Math Answer Book (The Handy Answer Book Series)

Copyright
......Page 7
CONTENTS
......Page 8
INTRODUCTION
......Page 12
ACKNOWLEDGMENTS......Page 14
What Is Mathematics?......Page 18
Early Counting and Numbers......Page 19
Mesopotamian Numbers and Mathematics......Page 21
Egyptian Numbers and Mathematics
......Page 26
Greek and Roman Mathematics......Page 30
Other Cultures and Early Mathematics
......Page 36
Mathematics after the Middle Ages
......Page 38
Modern Mathematics......Page 46
The Creation of Zero and Pi......Page 52
Development of Weights and Measures
......Page 56
Time and Math in History......Page 70
Math and Calendars in History......Page 74
Basic Arithmetic......Page 82
All about Numbers......Page 84
More about Numbers......Page 97
The Concept of Zero......Page 105
Basic Mathematical Operations......Page 106
Fractions......Page 113
Foundations and Logic......Page 118
Mathematical and Formal Logic......Page 122
Axiomatic System......Page 130
Set Theory......Page 137
The Basics of Algebra......Page 146
Algebra Explained......Page 148
Algebraic Operations
......Page 156
Exponents and Logarithms......Page 158
Polynomial Equations
......Page 165
Abstract Algebra......Page 175
More Algebra......Page 171
Geometry Beginnings......Page 180
Basics of Geometry......Page 183
Plane Geometry......Page 193
Solid Geometry......Page 199
Measurements and Transformations......Page 203
Analytic Geometry......Page 207
Trigonometry......Page 215
Other Geometries......Page 220
Analysis Basics
......Page 224
Sequences and Series......Page 228
Calculus Basics......Page 232
Differential Calculus......Page 237
Integral Calculus......Page 243
Differential Equations
......Page 247
Vector and Other Analyses......Page 251
Applied Mathematics Basics......Page 258
Probability Theory......Page 261
Statistics......Page 270
Modeling and Simulation......Page 281
Other Areas of Applied Mathematics......Page 284
Physics and Mathematics......Page 290
Classical Physics and Mathematics......Page 291
Modern Physics and Mathematics......Page 295
Chemistry and Math......Page 298
Astronomy and Math......Page 302
Math in Geology......Page 310
Math in Meteorology......Page 319
Math in Biology......Page 329
Math and the Environment......Page 333
Basics of Engineering......Page 338
Civil Engineering and Mathematics......Page 345
Mathematics and Architecture......Page 347
Electrical Engineering and Materials Science
......Page 354
Chemical Engineering......Page 356
Industrial and Aeronautical Engineering
......Page 357
Early Counting and Calculating Devices......Page 362
Mechanical and
Electronic Calculating Devices......Page 367
Modern Computers and Mathematics
......Page 375
Applications......Page 381
Math and the Fine Arts......Page 388
Math and the Social Sciences......Page 395
Math, Religion, and Mysticism......Page 398
Math in Business and Economics
......Page 402
Math in Medicine and Law......Page 407
Numbers and Math in Everyday Life......Page 412
Math and the Outdoors......Page 418
Math, Numbers, and the Body......Page 420
Math and the Consumer’s Money
......Page 424
Math and Traveling......Page 430
Math Puzzles......Page 436
Mathematical Games......Page 443
Card and Dice Games......Page 446
Sports Numbers......Page 449
Just for Fun......Page 452
Educational Resources......Page 458
Organizations and Societies......Page 461
Museums......Page 463
Popular Resources......Page 465
Surfing the Internet......Page 473
APPENDIX 1: MEASUREMENT SYSTEMS AND CONVERSION FACTORS
......Page 478
APPENDIX 2: LOG TABLE IN BASE 10 FOR THE NUMBERS 1 THROUGH 10
......Page 484
APPENDIX 3: COMMON FORMULAS FOR CALCULATING AREAS AND VOLUMES OF SHAPES
......Page 494
INDEX
......Page 498