Computational Aspects of Polynomial Identities

A comprehensive study of the main research done in polynomial identities over the last 25 years, including Kemer's solution to the Specht problem in characteristic O and examples in the characteristic p situation. The authors also cover codimension the...

 Matrix Theory From Generalized Inverses to Jordan Form

Focuses on the development of the Moore-Penrose inverse, preparing students for more advanced treatises in matrix theory Uses concrete examples to make arguments more clear Presents MATLAB® examples and exercises throughout since it is often used when...

 The Birth of Model Theory Löwenheim's Theorem in the Frame of the Theory of Relatives

Löwenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the part of logic that concerns the relationship between formal theories and their models. However, while the original pro...

 A Textbook of Graph Theory

Graph theory has experienced a tremendous growth during the 20th century. One of the main reasons for this phenomenon is the applicability of graph theory in other disciplines such as physics, chemistry, psychology, sociology, and theoretical computer sci...

 Heat Kernels and Dirac Operators

In the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut) were presented, using an explicit geometric construction ...