Solid State An Accessible Introduction for Undergraduates presents a straightforward treatment of solid state physics for undergraduate physics students as well as materials science and electrical engineering students. The writing style is akin to a popular science book, but the required rigor is not lost. The author emphasizes both the technological applications of the physics and the multi-disciplinary nature of scientific research. The text includes journalistic-style accounts of recent research and covers topics, such as bonding in solids, amorphous materials, polymers, diffraction, lattice vibrations and phonons, free electron models of electrical conduction, energy band formation, simple band theory, superconductivity, dielectrics, and magnetism.
It's actually called when it finally went to print, Understanding Solid State Physics and it is definitely more concept based than math heavy, but so far does give you more understanding of concepts so that you can then comprehend the math better when you come across it. Still working way through it.