Multivariable Calculus and Differential Geometry

This book offers an introduction to differential geometry for the non-specialist. It includes most of the required material from multivariable calculus, linear algebra, and basic analysis. An intuitive approach and a minimum of prerequisites make it a valuable companion for students of mathematics and physics.
The main focus is on manifolds in Euclidean space and the metric properties they inherit from it. Among the topics discussed are curvature and how it affects the shape of space, and the generalization of the fundamental theorem of calculus known as Stokes' theorem.

About the author

Gerard Walschap, University of Oklahoma, Norman, OK, USA.

Product details

• Authors: Gerard Walschap
• Publisher: De Gruyter
• Languages: English
• Product format: Paperback / Softback
• Released: 23.06.2015
• EAN: 9783110369496
• ISBN: 978-3-11-036949-6
• No. of pages: 355
• Dimensions: 170 mm x 19 mm x 240 mm
• Weight: 614 g
• Illustrations: 40 schw.-w. Abb.
• Series: de Gruyter Textbook; Graduate
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis