Multivariate Calculus and Geometry

Places the differential and integral calculus of several variables in its natural geometric environment Presents interesting non-trivial applications of the differential calculus Shows how the differential calculus and classical geometry evolved into differential geometry Multivariate calculus can be understood best by combining geometric insight, intuitive arguments, detailed explanations and mathematical reasoning. This textbook has successfully followed this programme. It additionally provides a solid description of the basic concepts, via familiar examples, which are then tested in technically demanding situations. In this new edition the introductory chapter and two of the chapters on the geometry of surfaces have been revised. Some exercises have been replaced and others provided with expanded solutions. Familiarity with partial derivatives and a course in linear algebra are essential prerequisites for readers of this book. Multivariate Calculus and Geometry is aimed primarily at higher level undergraduates in the mathematical sciences. The inclusion of many practical examples involving problems of several variables will appeal to mathematics, science and engineering students. Content Level » Upper undergraduate Keywords » Curvature and Torsion of Curves - Double and Triple Integrals - Frenet-Serret Equations - Gaussian Curvature - Geodesic Curvature - Lagrange Multipliers - Line Integrals - Stokes Theorem - Surface Integrals - The Hessian - The Weingarten Mapping

• ISBN: 978-1-4471-6418-0
• Editorial: SPRINGER VERLAG WIEN.
• Encuadernacion: Rústica
• Páginas: 257
• Fecha Publicación: 01/03/2014
• Nº Volúmenes: 1
• Idioma: