Vector and tensor analysis with applications
Material type:
TextPublication details: New York : Dover Publications, 1979Description: x, 257 pages : illustrationsISBN: 9780486638331; 0486638332 Subject(s): Vector analysisDDC classification: 515.63 Summary: " ... the exposition is clear and the choice of topics is excellent ..." Prof. R. E. Williamson, Univ. of Sussex, Brighton, England
This concise introduction to a basic branch of applied mathematics is indispensable to mathematicians, physicists and engineers. Eminently readable, it covers the elements of vector and tensor analysis, with applications of the theory to specific physics and engineering problems. It lays particular stress on the applications of the theory to fluid dynamics.
The authors begin with a definition of vectors and a discussion of algebraic operations on vectors. The vector concept is then generalized in a natural way, leading to the concept of a tensor. Chapter Three considers algebraic operations on tensors. Next, the authors turn to a systematic study of the differential and integral calculus of vector and tensor functions of space and time. Finally, vector and tensor analysis is considered from both a rudimentary standpoint, and in its fuller ramifications, concluding the volume.
The strength of the book lies in the completely worked out problems and solutions at the end of each chapter. In addition, each chapter incorporates abundant exercise material. Intended primarily for advanced undergraduates and graduate students of math, physics and engineering, the work is self-contained and accessible to any student with a good background in calculus.
Vector and Tensor Analysis With Applications is one of a series of SELECTED RUSSIAN PUBLICATIONS IN THE MATHEMATICAL SCIENCES, several of which have already been published by Dover. The authors are distinguished Russian mathematicians and specialists in gas dynamics and numerical analysis. Richard A. Silverman, editor of the series as well as editor and translator of this volume, has revised and improved the original edition and added a bibliography.
" ... a concise, clear and comprehensive treatment ... " Prof. Henry G. Booker, University of California, San Diego
| Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|---|
Reference Books
|
Main Library Reference | Reference | 515.63 BOR (Browse shelf(Opens below)) | Available | 009958 |
Browsing Main Library shelves, Shelving location: Reference, Collection: Reference Close shelf browser (Hides shelf browser)
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| 515.623 JAI Numerical Solution of Differential Equations | 515.625 SPI Schaum's Outline Of Theory and Problems of Calculus of Finite Differences and Difference Equations | 515.63 BIS Tensor Analysis on Manifolds | 515.63 BOR Vector and tensor analysis with applications | 515.63 CHA Vector Analysis | 515.63 MAT Vector calculus | 515.63 MIT Tensor Analysis for Scientists |
Bibliography & Index
" ... the exposition is clear and the choice of topics is excellent ..." Prof. R. E. Williamson, Univ. of Sussex, Brighton, England
This concise introduction to a basic branch of applied mathematics is indispensable to mathematicians, physicists and engineers. Eminently readable, it covers the elements of vector and tensor analysis, with applications of the theory to specific physics and engineering problems. It lays particular stress on the applications of the theory to fluid dynamics.
The authors begin with a definition of vectors and a discussion of algebraic operations on vectors. The vector concept is then generalized in a natural way, leading to the concept of a tensor. Chapter Three considers algebraic operations on tensors. Next, the authors turn to a systematic study of the differential and integral calculus of vector and tensor functions of space and time. Finally, vector and tensor analysis is considered from both a rudimentary standpoint, and in its fuller ramifications, concluding the volume.
The strength of the book lies in the completely worked out problems and solutions at the end of each chapter. In addition, each chapter incorporates abundant exercise material. Intended primarily for advanced undergraduates and graduate students of math, physics and engineering, the work is self-contained and accessible to any student with a good background in calculus.
Vector and Tensor Analysis With Applications is one of a series of SELECTED RUSSIAN PUBLICATIONS IN THE MATHEMATICAL SCIENCES, several of which have already been published by Dover. The authors are distinguished Russian mathematicians and specialists in gas dynamics and numerical analysis. Richard A. Silverman, editor of the series as well as editor and translator of this volume, has revised and improved the original edition and added a bibliography.
" ... a concise, clear and comprehensive treatment ... " Prof. Henry G. Booker, University of California, San Diego
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