8 Days to Master Fourier Series with Calculus (8 Days to Master Fourier Analysis)
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Description
This book teaches you how to find the Fourier series of functions. It starts by teaching you the prerequisites to understand Fourier series such as properties of trigonometric functions, integration by substitution, integration by parts, periodic functions, jump discontinuity and piecewise smooth functions.
It explains how to find the Fourier series of functions with period 2pi, functions with arbitrary period, even and odd functions. It also explains how to find sine and cosine series of functions. Each topic is explained with multiple fully worked out examples.
We also explore various topics in Fourier series such as orthogonality of the basic trigonometric system, derivation of the Fourier coefficients and Gibbs' phenomenon.
Lots of exercises and their answers are provided at the end of each chapter.
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