Presents various theorems of the theory of sets along with complete proofs. This book discusses strengthening of theorems, the simplification of proofs, and the removal of unnecessary hypotheses.
A complete guide for advanced undergraduate students to take the next step in exploring probability theory and for master's students in mathematical finance who would like to build an intuitive and theoretical understanding of stochastic processes.
The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a... Læs mere
Using this text, students work regularly with real data in moderately complex everyday contexts, using mathematics as a tool and common sense as a guide. The... Læs mere
Offers a gentle introduction to the enumerative part of combinatorics. In addition to covering all the standard techniques for counting combinatorial objects, the text... Læs mere
Suitable as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis, this book intends to present the fundamental concepts within... Læs mere
Presents lectures delivered at a workshop held at the Chinese Academy of Sciences (Bejing). Suitable as a... Læs mere
Two central aspects of Cartan's approach to differential geometry are the theory of exterior differential... Læs mere
Provides an introduction to how investments grow over time. This is done in a mathematically precise manner. The emphasis is on practical applications that give the reader a concrete understanding of why the various relationships should be true.