Mathematics : Number Theory

This book provides an introduction to representations of both finite and compact groups. The proofs of the basic results are given for the finite case, but are so phrased as to hold without change for compact topological groups with an invariant integral replacing the sum over the group elements as an averaging tool. Among the topics covered are the relation between representations and characters, the construction of irreducible representations, induced representations and Frobenius reciprocity. Special emphasis is given to exterior powers, with the symmetric group Sn as an illustrative example. more...

Price: $62.40

This book presents the Riemann Hypothesis, connected problems, and a taste of the body of theory developed towards its solution. It is targeted at the educated non-expert. Almost all the material is accessible to any senior mathematics student, and much is accessible to anyone with some university mathematics. The appendices include a selection of original papers. This collection is not very large and encompasses only the most important milestones in the evolution of theory connected to the Riemann Hypothesis. The appendices also include some authoritative expository papers. These are the "expert witnessesa whose insight into this field is both invaluable and irreplaceable. more...

Price: $79.95

This book provides a comprehensive look at the Schwarz-Christoffel transformation, including its history and foundations, practical computation, common and less common variations, and its many applications. It is intended as an accessible resource for engineers, scientists, and applied mathematicians who may not have much prior experience with theoretical or computational conformal mapping techniques. more...

Price: $52.00

A resource for understanding the power behind Monte Carlo Methods. It introduces and explains most ideas by way of concrete examples, algorithms, and practical experiments. more...

Price: $94.95

This concise text for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics can also serve as a quick reference for professionals. The treatment of each method is brief and technical issues are minimized, but all the issues important in practice and for understanding the code are discussed. more...

Price: $35.00