This comprehensive and richly illustrated textbook takes students from the geometry and algebra of vectors, through to the key concepts and tools of vector calculus. The tools and concepts explored are foundational for upper-level engineering and physics courses.
This comprehensive and richly illustrated textbook takes students from the geometry and algebra of vectors, through to the key concepts and tools of vector calculus. The tools and concepts explored are foundational for upper-level engineering and physics courses.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Professor Fabian Waleffe is a Professor in the Department of Mathematics, Dept. of Mechanical Engineering, and the Dept. of Engineering Physics at the University of Wisconsin-Madison. He has previously help positions as a Postdoctoral Fellow at Stanford University/NASA Ames, Center for Turbulence Research, MIT Applied Math, and has taught numerous courses at all levels.
Inhaltsangabe
Part I: Vector Geometry and Algebra 1: Find your bearings 2: Vector spaces 3: Dot product 4: Cross Product 5: Cartesian index notation 6: Determinant 7: Points, lines, planes, etc. 8: Orthogonal transformations 9: Matrices and tensors Part II: Vector Calculus 10: Kinematics 11: Dynamics 12: Curves 13: Surfaces 14: Curves on surfaces 15: Curvilinear coordinates 16: Fields 17: Electromagnetism Part III: Complex calculus 18: Complex algebra geometry 19: Elementary complex functions 20: Functions of a complex variable 21: Complex integration Index