Tensor Analysis on Manifolds pdf epub mobi txt 电子书 下载 2024


Tensor Analysis on Manifolds

简体网页||繁体网页
Richard L. Bishop
Dover Publications
1980-12-01
288
USD 12.95
Paperback
9780486640396

图书标签: 数学  张量分析  geometry  數學  数学分析  数学-ExteriorCalculus  tensor_analysis  on   


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发表于2024-11-09

Tensor Analysis on Manifolds epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Tensor Analysis on Manifolds epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Tensor Analysis on Manifolds pdf epub mobi txt 电子书 下载 2024



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"This is a first-rate book and deserves to be widely read." — American Mathematical Monthly

Despite 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. This book is an attempt to broaden this point of view at the stage where the student first encounters the subject. 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. An introductory chapter establishes notation and explains various topics in set theory and topology. Chapters 1 and 2 develop tensor analysis in its function-theoretical and algebraic aspects, respectively. The next two chapters take up vector analysis on manifolds and integration theory. In the last two chapters (5 and 6) several important special structures are studied, those in Chapter 6 illustrating how the previous material can be adapted to clarify the ideas of classical mechanics. The text as a whole offers numerous examples and problems.

A student with a background of advanced calculus and elementary differential equation could readily undertake the study of this book. The more mature the reader is in terms of other mathematical knowledge and experience, the more he will learn from this presentation.

Tensor Analysis on Manifolds 下载 mobi epub pdf txt 电子书

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Wish the 1/4 physics concentrations would appreciate this being taught as supplements.

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Wish the 1/4 physics concentrations would appreciate this being taught as supplements.

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Wish the 1/4 physics concentrations would appreciate this being taught as supplements.

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Wish the 1/4 physics concentrations would appreciate this being taught as supplements.

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Wish the 1/4 physics concentrations would appreciate this being taught as supplements.

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