Dineen Multivariate Calculus and Geometry
3rd Auflage 2014
ISBN: 978-1-4471-6419-7
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 257 Seiten
Reihe: Mathematics and Statistics
ISBN: 978-1-4471-6419-7
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
Multivariate calculus can be understood best by combining geometric insight, intuitive arguments, detailed explanations and mathematical reasoning. This textbook not only follows this programme, but 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.
Zielgruppe
Upper undergraduate
Autoren/Hrsg.
Weitere Infos & Material
Introduction to Differentiable Functions.- Level Sets and Tangent Spaces.- Lagrange Multipliers.- Maxima and Minima on Open Sets.- Curves in Rn.- Line Integrals.- The Frenet–Serret Equations.- Geometry of Curves in R3.- Double Integration.- Parametrized Surfaces in R3.- Surface Area.- Surface Integrals.- Stokes’ Theorem.- Triple Integrals.- The Divergence Theorem.- Geometry of Surfaces in R3.- Gaussian Curvature.- Geodesic Curvature.
