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
大学図書館所蔵 全49件
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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