Chapter 5 Links

Section 5.1

Learn more about WAVES

• What is a Wave?
• Sinusoids

Learn more about the IMPORTANCE OF SINUSOIDS

Learn more about the DOPPLER EFFECT AND SONIC BOOMS

Section 5.2

Learn more about LINEAR COMBINATION OF COSINE AND SINE WITH EQUAL PERIODS

Learn more about COMPOSITE ARGUMENT PROPERTIES

• Geometry of Addition and Subtraction Formulas
• MathWorld: Trigonometric Addition Formulas
• Deriving the Sum for Sine and Cosine

Learn more about TRIGONOMETRIC COFUNCTIONS

• Math,com: Trig Functions Overview
• Trigonometry Triangles

Section 5.3

Learn more about TRIGONOMETRIC COFUNCTIONS

• Math,com: Trig Functions Overview
• Trigonometry Triangles

Learn more about ADDITION FORMULAS

• MathWorld: Trigonometric Addition Formulas

Section 5.4

Learn more about HARMONIC ADDITION

• Harmonic Addition Theorem

Learn more about the TACOMA NARROWS BRIDGE

• Tacoma Narrows Bridge Disaster
• Tacoma Narrows Bridge Failure
• Bridge Collapse Page
• Bridge Aerodynamics Page

Section 5.5

Learn more about the SUM AND PRODUCT PROPERTIES

• MathWorld: Prosthaphaeresis Formulas
• MathWorld: Werner Formulas

Learn more about SOUND WAVES AND MUSIC

• Physics Classroom: Lesson 1 ? The Nature of a Sound Wave
• Physics Classroom: Lesson 2 ? Sound Properties and Their Perception
• Physics Classroom: Lesson 3 ? Behavior of Sound Waves
• Physics Classroom: Lesson 4 ? Resonance and Standing Waves
• Physics Classroom: Lesson 5 ? Musical Instruments

Learn more about AM / FM

• Amplitude Modulation
• Frequency Modulation

Learn more about PIANO TUNING

• The Facts about Tuning
• Some Piano Details
• History of Piano Tuning

Learn more about BARTOLOMEO CRISTOFORI DI FRANCESCO

• The Pianofortes of Bartolomeo Cristofori
• About Inventors ? Bartolomeo Cristofori
• Cristofori, Inventor of the Piano

Learn more about the HISTORY OF THE PIANO

• A History of the Piano from 1157 to 2003
• A History of the Piano from 1709 to 1980
• The ?Why? of the Piano
• Some History of the Piano

Section 5.6

Learn more about DOUBLE ARGUMENT PROPERTIES

• MathWorld: Double-Angle Formulas
• Sine or Cosine of a Double Angle
• Tangent of a Double Angle

Learn more about HALF ARGUMENT PROPERTIES

• MathWorld: Half-Angle Formulas
• Sine or Cosine of a Half Angle
• Tangent of a Half Angle

Learn more about TRIGONOMETRIC IDENTITIES

• SOS Math: Table of Trigonometric Identities
• Summary of Trigonometric Identities

Section 5.7

Learn more about JEAN-BAPTISTE-JOSEPH FOURIER

• The MacTutor History of Mathematics
• A Short Account of the History of Mathematics ? W. W. Rouse Ball

Learn more about FOURIER SERIES

• Fourier Series and Waves
• MathWorld: Fourier Series
• MathWorld: Fourier Series ? Sawtooth Wave
• MathWorld: Fourier Series ? Square Wave
• MathWorld: Fourier Series ? Triangle Wave
• MathWorld: Fourier Series ? Semicircle
• Fourier Synthesis ? JAVA Applet
• Fourier Series Simulation