Microfluidic Chip Design Fundamentals

Author: Song Weidong
Publisher:
Publish Date: 2006-01-01
Features: This book is prepared for undergraduate elective courses in mathematics majors and basic mathematics, as well as for public foundational courses in applied mathematics graduate programs. It primarily introduces the basic concepts of differentiable manifolds, tangent spaces, tangent bundles and vector fields, tensor analysis, linear connections, Riemannian manifolds, and more. The book is concise and to the point, offering room for further study, bridging the gap between elementary and classical differential geometry and modern differential geometry. It serves as an introductory textbook on differentiable manifolds, covering topics such as an introduction to differentiable manifolds, tensor analysis, the integration of differential forms and Stokes' theorem, affine connections, and several differential operators on manifolds.