A brief on tensor analysis / James G. Simmonds.
By: Simmonds, James G
.
Material type: 
BookSeries: Undergraduate texts in mathematics.Publisher: New York : Springer-Verlag, 1994Edition: 2nd ed.Description: xiv, 112 p. : ill. ; 25 cm. + hbk.ISBN: 038794088X.Subject(s): Calculus of tensorsDDC classification: 515.63 | Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|---|
| General Lending | MTU Bishopstown Library Lending | 515.63 (Browse shelf(Opens below)) | 1 | Available | 00095640 | ||
| General Lending | MTU Bishopstown Library Lending | 515.63 (Browse shelf(Opens below)) | 1 | Available | 00097761 |
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| 515.63 Vector and tensor methods / | 515.63 Vector calculus / | 515.63 Vector analysis and Cartesian tensors / | 515.63 A brief on tensor analysis / | 515.63 A brief on tensor analysis / | 515.63 Vector calculus / | 515.63 Vector calculus / |
Enhanced descriptions from Syndetics:
There are three changes in the second edition. First, with the help of readers and colleagues-thanks to all-I have corrected typographical errors and made minor changes in substance and style. Second, I have added a fewmore Exercises,especially at the end ofChapter4.Third, I have appended a section on Differential Geometry, the essential mathematical tool in the study of two-dimensional structural shells and four-dimensional general relativity. JAMES G. SIMMONDS vii Preface to the First Edition When I was an undergraduate, working as a co-op student at North Ameri can Aviation, I tried to learn something about tensors. In the Aeronautical Engineering Department at MIT, I had just finished an introductory course in classical mechanics that so impressed me that to this day I cannot watch a plane in flight-especially in a turn-without imaging it bristling with vec tors. Near the end of the course the professor showed that, if an airplane is treated as a rigid body, there arises a mysterious collection of rather simple looking integrals called the components of the moment of inertia tensor.
Includes index.
Introduction: vectors and tensors -- General bases and tensor notation -- Newton's law and tensor calculus -- The gradient, the Del operator, covariant differentiation and the divergence theorem.
Table of contents provided by Syndetics
- Preface to the Second Edition
- Preface to the First Edition
- Introduction: Vectors and Tensors
- General Bases and Tensor Notation
- Newton's Law and Tensor Calculus
- The Gradient, the Del Operator,Covariant Differentiation, and the Divergence Theorem