Here I'd like to draw attention to The Concrete Tetrahedron by M. Kauers and P. Paule. This book puts the focus on four strongly connected types of mathematical objects
and the interplay between them. The connections and structural properties of these four regions are analysed starting with polynomials as the most simple application and going step by step, i.e. chapter by chapter to more complex objects. The authors cover
and in each of these chapters the four regions and their interplay is discussed.
Btw. the term Concrete in the title of the book is a reverence to Concrete Mathematics
by R. L. Graham, D. Knuth and O. Patashnik which is explicitly stated by the authors in section 1.6:
- The attribute concrete is a reference to the book "Concrete Mathematics" by Graham, Knuth, and Patashnik , where a comprehensive introduction to the subject is provided. Following the authors of that book, we understand concrete not in contrast to abstract, but as a blend of the two words con-tinuous and dis-crete, for it is both continuous and discrete mathematics that is applied when solving concrete problems.