Tensor Analysis on Manifolds
This is a first-rate book and deserves to be widely read. This book is an attempt to broaden this point of view at the stage where the student first encounters the subject. -- American Mathematical MonthlyDespite its success as a mathematical tool in the general theory of relativ… Celý popis ↓
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Tensor Analysis on Manifolds
This is a first-rate book and deserves to be widely read. This book is an attempt to broaden this point of view at the stage where the student first encounters the subject. -- American Mathematical MonthlyDespite its success as a mathematical tool in the general theory of relativity and its adaptability to a wide range of mathematical and physical problems, tensor analysis has always had a rather restricted level of use, with an emphasis on notation and the manipulation of indices.
An introductory chapter establishes notation and explains various topics in set theory and topology. The authors have treated tensor analysis as a continuation of advanced calculus, striking just the right balance between the formal and abstract approaches to the subject.The material proceeds from the general to the special. Chapters 1 and 2 develop tensor analysis in its
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