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This introductory text presents ordinary differential equations with a modern approach to mathematical modelling in a one semester module of 20–25 lectures. Presents ordinary differential equations with a modern approach to mathematical modelling Discusses linear differential equations of second order, miscellaneous solution techniques, oscillatory motion and laplace transform, among other topics Includes self-study projects and extended tutorial solutions
This updated and revised edition of a widely acclaimed and successful text for undergraduates examines topology of recent compact surfaces through the development of simple ideas in plane geometry. Containing over 171 diagrams, the approach allows for a straightforward treatment of its subject area. It is particularly attractive for its wealth of applications and variety of interactions with branches of mathematics, linked with surface topology, graph theory, group theory, vector field theory, and plane Euclidean and non-Euclidean geometry. Examines topology of recent compact surfaces through the development of simple ideas in plane geometry Contains a wealth of applications and a variety of interactions with branches of mathematics, linked with surface topology, graph theory, group theory, vector field theory, and plane Euclidean and non-Euclidean geometry
This book will shape the course of electromagnetics research for decades to come. Fourteen leading researchers from five countries reveal their latest research results in detail and review parallel developments. The topics discussed, though unconventional today, are destined to attract great attention as shrinking device sizes make electromagnetic effects ever more important. These topics include the rotation of polarization of electric waves by a twisted structure; homogenization of linear bianistotropic composite materials; novel free-space techniques to characterize complex mediums; sculptured thin films; electrodynamic properties of carbon nanotubes; and more. Electromagnetic Fields in Unconventional Materials and Structures: * Focuses on geometry in both large and small scales * Provides a blueprint for electromagnetics research at the turn of the century * Features new results, comments, and prognostications on 21st century research * Includes more than 150 illustrations as well as hundreds of charts, tables, and references

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