Provides an introduction to the representation theory of quivers and finite dimensional algebras. It gives a thorough and modern treatment of the algebraic... Læs mere
Provides an introduction to hyperbolic geometry in dimension three, with motivation and applications arising from knot theory. The book was written to be interactive, with many examples and exercises. Some important results are left to guided exercises.
Provides an introduction to the fundamentals of enumeration for advanced undergraduates and beginning graduate students in the mathematical sciences. The book... Læs mere
Introduces a new notion of analytic space over a non-Archimedean field. The book includes a homotopic characterization of the analytic... Læs mere
Introduces advanced undergraduates to Riemannian geometry and mathematical general relativity. The overall strategy of the book is... Læs mere
Presents the insights of abstract algebra in a welcoming and accessible way. The book succeeds in combining the advantages of rings-first and... Læs mere
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. The... Læs mere
Designed for use in an introductory undergraduate course in real analysis. Much of the development is in the setting of the general metric space. The book makes substantial use not only of the real line and $n$-dimensional Euclidean space, but also sequence and function spaces.
As the open-source and free alternative to expensive software, Sage offers anyone with a web browser the ability to use cutting-edge... Læs mere
Delve into the mathematical transition from classical computation to quantum mechanics, where probability gives way to quantum... Læs mere
Reveals the hidden connections discovered over the last half-century that explain the existence of these mysterious mathematical... Læs mere