Vector and tensor analysis

書誌事項

Vector and tensor analysis

Eutiquio C. Young

(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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