Jiguang Sun received his B.S. in 1996 from Tsinghua University and Ph.D. in 2005 from the University of Delaware. Currently, he is a professor at Michigan Technological University. His research interests include finite element methods, eigenvalue problems, inverse scattering theory, and electromagnetic methods in geophysics.Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences. He received his Ph.D. from the Institute of Systems Science of the Chinese Academy of Sciences in 1991. His research focuses on mathematical understanding and numerical approximation of electronic structure models and related topics.

"Overall the book is well written […] the authors have done well in balancing the topics basedon their admitted criteria of being either fundamental and appropriate to illustratetheory or of their own research interests. I highly recommend the book, especially forthe curious graduate student."—Joe Coyle, Mathematical Reviews, September 2017

• 1. Functional Analysis. 2. Finite Elements. 3. Laplace Eigenvalue Problem. 4. Biharmonic Eigenvalue Problem. 5. Maxwell Eigenvalue Problem. 6. Quad-curl Eigenvalue Problem. 7. Transmission Eigenvalue Problem. 8. Schrodinger Eigenvalue Problem. 9. Adaptive Finite Element Approximations. 10. Scattering Resonances. 11. Matrix Eigenvalue Problems. 12. Contour Integral Based EigensolversMatrix Eigenvalue Problems