1 Infinite Series, Power Series 2 Complex Numbers 3 Linear Algebra 4 Partial Differentitation 5 Multiple Integreals 6 Vector Analysis 7 Fourier Series And Transforms 8 Ordinary Differential Equations 9 Calculus Of Variations 10 Tensor Analysis 11 Special Functions 12 Series Solutions Of Differential Equations; Legendre, Bessel, Hermite, And Laguerre Functions 13 Partial Differential Equations 14 Functions Of A Complex Variable 15 Probability And Statistics expand_more
7.1 Introduction 7.2 Simple Harmonic Motion And Wave Motion; Periodic Functions 7.3 Application Of Fourier Series 7.4 Average Value Of A Function 7.5 Fourier Coefficients 7.6 Dirichlet Conditions 7.7 Complex Form Of Fourier Series 7.8 Other Intervals 7.9 Even And Odd Functions 7.10 An Applications To Sound 7.11 Parseval's Theorem 7.12 Fourier Transforms 7.13 Miscellaneous Problems expand_more
Problem 1P: In Problems 1 to 6 find the amplitude, period, frequency, and velocity amplitude for the motion of a... Problem 2P: In Problems 1 to 6 find the amplitude, period, frequency, and velocity amplitude for the motion of a... Problem 3P: In Problems 1 to 6 find the amplitude, period, frequency, and velocity amplitude for the motion of a... Problem 4P: In Problems 1 to 6 find the amplitude, period, frequency, and velocity amplitude for the motion of a... Problem 5P: In Problems 1 to 6 find the amplitude, period, frequency, and velocity amplitude for the motion of a... Problem 6P: In Problems 1 to 6 find the amplitude, period, frequency, and velocity amplitude for the motion of a... Problem 7P: In Problems 7 to 10 you are given a complex function z=f(t). In each case, show that a particle... Problem 8P: In Problems 7 to 10 you are given a complex function z=f(t). In each case, show that a particle... Problem 9P: In Problems 7 to 10 you are given a complex function z=f(t). In each case, show that a particle... Problem 10P: In Problems 7 to 10 you are given a complex function z=f(t). In each case, show that a particle... Problem 11P: The charge q on a capacitor in a simple a-c circuit varies with time according to the equation... Problem 12P: RepeatProblem11:(a)ifq=Re4e30it;(b)ifq=Im4e30it. Problem 13P: A simple pendulum consists of a point mass m suspended by a (weightless) cord or rod of length l, as... Problem 14P: The displacements x of two simple pendulums (see Problem 13) are 4 sin(t/3) and 3sin(t/4). They... Problem 15P: As in Problem 14, the displacements x of two simple pendulums are x=2cos(t/2) and 3sin(t/3). They... Problem 16P: As in Problem 14, let the displacements be y1=3sin(t/2) and y2=sint. The pendulums start together at... Problem 17P: Show that equation (2.10) for a wave can be written in all these forms:... Problem 18P: In Problems 18 to 20, find the amplitude, period, frequency, wave velocity, and wavelength of the... Problem 19P: In Problems 18 to 20, find the amplitude, period, frequency, wave velocity, and wavelength of the... Problem 20P: In Problems 18 to 20, find the amplitude, period, frequency, wave velocity, and wavelength of the... Problem 21P: Write the equation for a sinusoidal wave of wavelength 4, amplitude 20, and velocity 6. (See Problem... Problem 22P: Do Problem 21 for a wave of amplitude 4, period 6, and wavelength 3. Make computer plots of y as a... Problem 23P: Write an equation for a sinusoidal sound wave of amplitude 1 and frequency 440 hertz (1 hertz means... Problem 24P: The velocity of sound in sea water is about 1530m/sec. Write an equation for a sinusoidal sound wave... Problem 25P: Write an equation for a sinusoidal radio wave of amplitude 10 and frequency 600 kilohertz. Hint: The... format_list_bulleted