Vector and tensor analysis
著者
書誌事項
Vector and tensor analysis
（Monographs and textbooks in pure and applied mathematics, 172）
Marcel Dekker, c1993
2nd ed., rev. and expanded
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Revised and updated throughout, this book presents the fundamental concepts of vector and tensor analysis with their corresponding physical and geometric applications - emphasizing the development of computational skills and basic procedures, and exploring highly complex and technical topics in simplified settings.;This text: incorporates transformation of rectangular cartesian coordinate systems and the invariance of the gradient, divergence and the curl into the discussion of tensors; combines the test for independence of path and the path independence sections; offers new examples and figures that demonstrate computational methods, as well as carify concepts; introduces subtitles in each section to highlight the appearance of new topics; provides definitions and theorems in boldface type for easy identification. It also contains numerical exercises of varying levels of difficulty and many problems solved.
目次
- Vector algebra
- differential calculus of vector functions of one variable
- differential calculus of scalar and vector fields
- integral calculus of scalar and vector fields
- tensors in rectangular cartesian coordinate systems
- general tensors
- solutions to selected problems.
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