Israel has a National Screening Program for early detection of breast cancer. The need to continue and even expand this program was recently stressed in light of the high risk in the population. However, the optimal modalities for breast cancer screening are controversial, especially for women at risk. Mammography, the established screening method, is critically examined, and molecular imaging techniques, such as magnetic resonance spectroscopy and spectroscopic imaging are explored, especially for primary breast cancer detection. MRS and MRSI are currently limited by their reliance on the conventional framework for data analysis in biomedical imaging, i.e., the fast Fourier transform. Recent mathematical advances in signal processing via the fast Pade transform can extract diagnostically important information, which until now has been unavailable with in vivo MRS. A clinical MRS signal illustrates the rapid and stable convergence provided by FPT, yielding accurate information about key metabolites and their concentrations at short acquisition times. We suggest that the next step would be to apply the FPT to in vivo MRS/MRSI signals from patients with breast cancer and to compare these to findings for normal breast tissue. The potential implications of such an optimized MRS/MRSI for breast cancer screening strategies are discussed, especially for younger women at high risk.