1. Introduction to Residue Number System: Structure and Teaching Methodology2. RNS-based Embedded Processor Design3. Non Modular Operations of the Residue Number System: Functions for Computing4. Fault-Tolerant Computing in Redundant Residue Number System5. Decimal Floating Point Number System6. Design and Evaluation of Booth-Encoded Multipliers in Redundant Binary Representation7. Robust Analog Arithmetic Based on the Continuous Valued Number System8. RNS Applications in Digital Signal Processing9. RNS-based Image Processing10. Logarithmic Number System and its Application in FIR Filter Design 11. Double-Base Number System and its Application in FIR Filter Design12. RNS-based Public-Key Cryptography (RSA and ECC)13. RNS Approach in Lattice-based Cryptography14. RNS Applications in Computer Networks