Preface; Acknowledgments; Contents; List of Figures; List of Tables; 1. Basics of Mobius Inversion Formulas; 2. Inverse Problems in Boson Systems; 3. Inverse Problems in Fermion Systems; 4. Arithmetic Fourier Transform; 5. Inverse Lattice Problems in Low Dimensions; 6. Inverse Lattice Problems; Appendix : Mobius Inverse Formula on a Partially Ordered Set; Epilogue; Bibliography; Index
Summary
This book attempts to bridge the gap between the principles of pure mathematics and the applications in physical science. After the Mobius inversion formula had been considered as purely academic, or beyond what was useful in the physics community for more than 150 years, the apparently obscure result in classical mathematics suddenly appears to be connected to a variety of important inverse problems in physical science. This book only requires readers to have some background in elementary calculus and general physics, and prerequisite knowledge of number theory is not needed. It will be attra
