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Multivariable Calculus and Differential Geometry
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Gerard Walschap
Language:
English
Published/Copyright:
2015
About this book
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.
- A thorough introduction to differential geometry
- Covers all important concepts and theorems
- Many examples including applications to physics
Author / Editor information
Gerard Walschap, University of Oklahoma, Norman, OK, USA.
Topics
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
July 1, 2015
eBook ISBN:
9783110369540
Paperback published on:
June 12, 2015
Paperback ISBN:
9783110369496
Pages and Images/Illustrations in book
Front matter:
10
Main content:
355
Audience(s) for this book
Students and lecturers of mathematics and physics; academic libraries.
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com