"Discrete Fourier and Wavelet Transforms: An Introduction through Linear Algebra with Applications to Signal Processing" is a new undergraduate textbook authored by Roe W Goodman from Rutgers University. This textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra, without assuming prior knowledge of signal processing or advanced analysis. Key Features: - Accessible account of the theory and applications of discrete Fourier and wavelet transforms based on ten years of classroom use - Introduction of discrete wavelet transforms for digital signals via elementary lifting steps and filter banks - Interweaving of mathematical theory with examples and applications to digital signal processing and image compression - Computer explorations of signal and image processing in each chapter - Mathematical concepts clarified by more than 90 figures and 75 exercises with detailed solutions Sample chapter is available here: www.worldscientific.com/worldscibooks/10.1142/9835