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ala
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Is there some solved problem book about manifolds? (or where can I find solved problems on manifolds)
ala said:Is there some solved problem book about manifolds? (or where can I find solved problems on manifolds)
kengwit said:I am looking for an introductory electromagnetics book in the language of differential forms. I am not looking for a differential geometry type of book with a small section on EM but all about EM in differential forms language. Any recommendations?
redrzewski said:Bamberg,Sternberg: A course in mathematics for students of physics
This book is a very good treatment of EM using differential forms. It's not introductory, though.
A problem book on manifolds is a collection of exercises and problems designed to help students understand and apply the concepts of manifolds in mathematics. Manifolds are mathematical spaces that can be described locally by Euclidean space, and are used in various fields such as differential geometry, topology, and physics.
Students and researchers in mathematics, particularly those studying topics related to manifolds, can benefit from using a problem book on manifolds. It can also be useful for those in fields such as physics and engineering where manifolds are commonly applied.
A problem book on manifolds may cover topics such as smooth manifolds, vector fields, differential forms, Lie groups, and more. It may also include exercises related to the fundamental concepts and theorems in manifold theory, such as the Poincaré lemma and Stokes' theorem.
A problem book on manifolds can help reinforce understanding of concepts and theories through practice and application. By working through a variety of problems, students can develop their problem-solving skills and gain a deeper understanding of the subject.
There are many problem books on manifolds available, and the best one for an individual student may depend on their specific needs and level of understanding. Some popular options include "Problems in Differential Geometry" by Marcel Berger and "Problems in Geometry" by Marcelo Epstein.