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Mathematics
Transform Methods in Mathematics
1. Foundations of Transform Methods
2. The Laplace Transform
3. Fourier Analysis
4. Discrete Transform Methods
5. Specialized Integral Transforms
6. Advanced Applications
7. Computational Aspects and Numerical Methods
Computational Aspects and Numerical Methods
Numerical Implementation
Discretization Issues
Sampling Considerations
Computational Complexity
Transform Algorithms
FFT Implementations
Optimization Techniques
Parallel Processing
Error Analysis
Truncation Errors
Round-off Errors
Stability of Algorithms
Software Tools and Libraries
Transform Functions in Mathematical Software
Implementation Considerations
Performance Optimization
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6. Advanced Applications
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1. Foundations of Transform Methods