Mathematics : Geometry

The relation between mathematics and physics has a long history, in which the role of number theory and of other more abstract parts of mathematics has become prominent. This book focuses on the broader interface of number theory, geometry, and physics. It is presented in three parts: Conformal Field Theories, Discrete Groups, and Renormalization. more...

Price: $89.95

This two-volume book collects the lectures given during the three months cycle of lectures held in Northern Italy between May and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998). It presents a wide-ranging overview of some of the most active areas of contemporary research in arithmetic algebraic geometry, with special emphasis on the geometric applications of the p-adic analytic techniques originating in Dwork's work, their connection to various recent cohomology theories and to modular forms. The two volumes contain both important new research and illuminating survey articles written by leading experts in the field. The book will provide an indispensable resource for all those wishing to approach the frontiers of research in arithmetic algebraic geometry. more...

Price: $328.95

This title is an introduction to the mathematical theory of design for articulated mechanical systems known as linkages. Its special features include chapter summaries, detailed illustrations, exercises at the end of each chapter, and design software for planar and spherical linkage design. more...

Price: $99.00

This accessible book for beginners uses intuitive geometric concepts to create abstract algebraic theory with a special emphasis on geometric characterizations. The book applies known results to describe various geometries and their invariants, and presents problems concerned with linear algebra, such as in real and complex analysis, differential equations, differentiable manifolds, differential geometry, Markov chains and transformation groups. more...

Price: $127.40

This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models used to describe physical processes, and from the effects of external controls. The author provides an introduction accessible to beginning graduate students and emphasizing geometric aspects of the theory. Conley's ideas about rough orbits and chain-recurrence play a central role in the treatment. The book will be a useful reference for mathematicians, scientists, and engineers studying this field, and an ideal text for graduate courses in dynamical systems.  more...

Price: $89.50