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Technical Mathematics (with Applications in Electronics and Photonics)
by Srini V. Vasan
247 pages; quality trade paperback (softcover); catalogue #03-0857; ISBN 1-4120-0488-8; US$41.00, C$49.00, EUR31.90, £22.10
A concise textbook applying the principles of algebra, geometry and trigonometry to solve problems in electronics, photonics, and other technologies. It is well suited for a technician program.
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About the Book
Technical Mathematics (with applications in Electronics and Photonics) in a well organized and concise textbook suitable for the first year student in a two year technical community college. It contains just enough information for the student to succeed in their career as a technician. Each chapter is filled with examples, practical technical applications and exercises. An in-depth review of graphing procedures is provided in the book.
Also by Srini Vasan: Basics of Photonics and Optics
About the Author
Srini Vasan has a Ph.D. in Chemical Engineering. With over 12 years of industrial experience and over 5 years in education, he has two U.S. patents. He was inspired to write this book by his late uncle, who due to a disability never set foot in school, yet was brilliant enough to tutor college students in math and science to earn a living.
Sample Excerpts or Table of Contents
Table of Contents
1. Basic Concepts of Arithmetic
1.1 Addition, Subtraction, Multiplication, Division
1.2 Number Notations - Decimal, Scientific and Engineering
1.3 Calculator review
1.4 Conversion of units
1.5 Technical Applications - Kirchhoff's voltage and current laws
Chapter Summary
End of Chapter Exercises2. Basic Concepts of Algebra
2.1 Addition, subtraction, Multiplication and Division
2.2 Solving equations in one variable
2.3 Formula transformation and substitution
2.4 Ratio and proportions
2.5 Technical applications - Ohm's law, series circuits: voltage drops, pressure-force relationships, flow rate-volume calculations, circuit power calculations, Newton's laws of motion, photon frequency-wavelength-energy calculations
Chapter Summary
End of Chapter Exercises3. Coordinate Geometry
3.1 Rectangular coordinate system and notations
3.2 Graphing straight lines and curves
3.3 Various equation forms for straight lines
3.4 Right triangle and distance formula
3.5 Technical applications -graphing Ohm's law, power law, force-pressure, resonance, similar triangles and ray tracing fundamentals in geometric optics
Chapter Summary
End of Chapter Exercises4. Equations in more than one variable
4.1 Solving two variable equations algebraically
4.2 Solving three variable equations algebraically
4.3 Solving equations using determinants
4.4 Solving equations using computer programs
4.5 Technical applications: solving loop and mesh currents
Chapter Summary
End of Chapter Exercises5. Basic Trigonometric Principles
6. Complex Numbers
5.1 Angular measurement-degrees, radians
5.2 Trigonometric function definitions based on rectangular coordinate system
5.3 Trigonometric function definitions based on right triangles
5.4 Inverse trigonometric functions
5.5 Solutions based on trigonometric properties
5.6 Technical applications: Representation of a sine wave-phase angle, calculations of peak and RMS values, the impedance triangle, the power triangle, AC series circuits: voltage drops, AC parallel circuits: current splits, Snell's law of refraction, total internal reflection and transmission in optical fibers, small angle approximation, Brewster's angle derivation
Chapter Summary
End of Chapter Exercises
6.1 Rectangular coordinate system representation
6.2 Polar and related forms of representation
6.3 Addition, subtraction, multiplication and division-Applications
6.4 Further technical applications: AC parallel circuits
Chapter Summary
End of Chapter Exercises7. Exponential and logarithmic functions
7.1 Exponential functions
7.2 Conversion to logarithmic form
7.3 Solving exponential and logarithmic equations
7.4 Technical applications: charging and discharging of capacitors, decay and growth functions, first order chemical kinetics, dB loss calculation, exponential law of absorption, optical density and filters
Chapter Summary
End of Chapter ExercisesAppendix
I. Conversion factors
II. Geometric theorems and definitions
III. Formulas for area and volume
IV. Useful trigonometric formulas and identities
V. Useful algebraic identities, quadratic equationsAnswers to odd-numbered problems
Index
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Catalogue Information
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