An Introduction to Manifolds presents the theory of manifolds with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book, the reader will have the ability to compute one of the most basic topological invariants of a manifold, its de Rham cohomology.
Presenting advanced concepts of digital imaging, this volume enables researchers to process and analyze color images and video with algorithms. Comprising of contributions from global leaders in the field, this reference offers up-to-date information on data processing of video and color images.
Taking off from Euclid's famous assertion to the contrary, this book leads the reader on a clear path - a royal road - through the elements of modern algebraic geometry from algebraic curves to the present shape of the field to Grothendieck’s theory of schemes.
This comprehensive textbook simplifies the discussion of differential geometry to an accessible level by introducing Clifford algebra. It includes chapter-by-chapter exercises, and provides a rare undergraduate-level approach to the subject matter.
This concise, up-to-date textbook is designed for the standard sophomore course in differential equations. The basic ideas, models, and solution methods are presented in a user friendly format that is accessible to engineers, scientists, economists, and mathematics majors.