Mastering Technical Mathematics

Gibilisco S., Crowhurst N.H.

Boost our applied math skills – and rocket your career. Don’t let weak or rusty applied math skills keep you from satisfying your technical career goals. Step by step – and at your own pace – Mastering Technical Mathematics, Second Edition, by Stan Gibilisco and Norman Crowhurst, gives you the essential background you need to sharpen our algebra aptitude…wield quadratics…use mechanical math methods…perform trigonometry and geometry conversions…and harness the power of differentiation. You’ll also get comfortable with calculus…learn to use complex quantities…apply logarithms…and more. Totally revised and updated with state-of-the-art coverage of logic and digital systems, this affordable expert tutor also provides helpful examples and illustrations, chapter self-tests – even a comprehensive final exam. It’s the ideal prep tool for acing certification exams, earning a technical degree, or confidently tackling any engineering challenge.

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Table of contents :
Cover Page……Page 1
Title Page……Page 4
Copyright 1999 by McGraw-Hill……Page 5
2. Subtraction……Page 8
4. Division……Page 9
6. Area: the second dimension……Page 10
9. Developing “school” algebra……Page 11
11. Finding short cuts……Page 12
14. Trigonometry and geometry conversions……Page 13
16. Progressions……Page 14
19. Developing calculus theory……Page 15
20. Combining calculus with other tools……Page 16
23. Making series do what you want……Page 17
26. Development of calculator aids……Page 18
27. Digital mathematics……Page 19
Introduction……Page 20
Acknowledgments……Page 22
Part 1. Arithmetic as an outgrowth of learning to count……Page 24
1. From counting to addition……Page 26
2. Subtraction……Page 47
3. Multiplication……Page 57
4. Division……Page 73
5. Fractions……Page 92
6. Area: the second dimension……Page 107
7. Time: the fourth dimension……Page 123
Part 2. Introducing algebra, geometry, and trigonometry as ways of thinking in mathematics……Page 144
8. First notions leading into algebra……Page 146
9. Developing “school” algebra……Page 163
10. Quadratics……Page 177
11. Finding short cuts……Page 196
12. Mechanical mathematics……Page 210
13. Ratio in mathematics……Page 232
14. Trigonometry and geometry conversions……Page 252
Part 3. Developing algebra, geometry, trigonometry, and calculus……Page 270
15. Systems of counting……Page 272
16. Progressions……Page 291
17. Putting progressions to work……Page 312
18. Putting differentiation to work……Page 331
19. Developing calculus theory……Page 349
20. Combining calculus with other tools……Page 370
21. Introduction to coordinate systems……Page 389
Part 4. Developing algebra, geometry, trigonometry, and calculus as analytical mathods in mathematics……Page 398
22. Complex quantities……Page 400
23. Making series do what you want……Page 415
24. The world of logarithms……Page 432
25. Mastering the tricks……Page 445
26. Development of calculator aids……Page 464
27. Digital mathematics……Page 488
Appendix. Answers to questions and problems……Page 502
Index……Page 582
About the Authors……Page 592