Offers a new approach to laying a foundation for abstract mathematics. Prior experience with proofs is not assumed, and the book takes time to build proof-writing skills in ways that will serve students through a lifetime of learning and creating mathematics.
Offers an introduction to four different flavours of representation theory: representations of algebras, groups, Lie algebras, and Hopf algebras. A separate part of the... Læs mere
Presents the basic notions of differential and algebraic topology, which are indispensable for specialists and useful for research mathematicians and theoretical physicists.... Læs mere
An English translation of Sakai's textbook on Riemannian geometry. It explains the fundamental notion of Riemannian geometry. It emphasises on understandability and readability, to... Læs mere