MARC details
| 000 -LEADER |
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| fixed length control field |
04345pam a2200385 a 4500 |
| 001 - CONTROL NUMBER |
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| control field |
0000071486 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
0001 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
170314r19891975nyua b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0486658406 (paperback) |
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| International Standard Book Number |
9780486658407 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| -- |
(DLC) 88031014 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Transcribing agency |
DLC |
| Modifying agency |
DLC |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.63 |
| Edition number |
19 |
| 084 ## - OTHER CLASSIFICATION NUMBER |
|---|
| Classification number |
515.63 |
| Item number |
LOV-T |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Lovelock, David, |
| Dates associated with a name |
1938- |
| 245 10 - TITLE STATEMENT |
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| Title |
Tensors, differential forms, and variational principles / |
| Medium |
[Book] |
| Statement of responsibility, etc. |
by David Lovelock and Hanno Rund. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
New York : |
| Name of publisher, distributor, etc. |
Dover, |
| Date of publication, distribution, etc. |
1989. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xi, 366 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
22 cm. |
| 500 ## - GENERAL NOTE |
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| General note |
Reprint, with rev. appendix. Originally published: New York : Wiley, 1975. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
The aim of this book is to present a self-contained, reasonably modern account of tensor analysis and the calculus of exterior differential forms, adapted to the needs of physicists, engineers, and applied mathematicians. In the later, increasingly sophisticated chapters, the interaction between the concept of invariance and the calculus of variations is examined. This interaction is of profound importance to all physical field theories. Beginning with simple physical examples, the theory of tensors and forms is developed by a process of successive abstractions. This enables the reader to infer generalized principles from concrete situations — departing from the traditional approach to tensors and forms in terms of purely differential-geometric concepts. The treatment of the calculus of variations of single and multiple integrals is based ab initio on Carathǒdory's method of equivalent integrals. Subsequent material explores the effects of invariance postulates on variational principles, focusing ultimately on relativistic field theories. Other discussions include: • integral invariants • simple and direct derivations of Noether's theorems • Riemannian spaces with indefinite metrics The emphasis in this book is on analytical techniques, with abundant problems, ranging from routine manipulative exercises to technically difficult problems encountered by those using tensor techniques in research activities. A special effort has been made to collect many useful results of a technical nature, not generally discussed in the standard literature. The Appendix, newly revised and enlarged for the Dover edition, presents a reformulation of the principal concepts of the main text within the terminology of current global differential geometry, thus bridging the gap between classical tensor analysis and the fundamentals of more recent global theories. |
| 521 ## - TARGET AUDIENCE NOTE |
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| Target audience note |
All. |
| 521 ## - TARGET AUDIENCE NOTE |
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| Target audience note |
All. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Calculus of tensors. |
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| Topical term or geographic name entry element |
Differential forms. |
|
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| Topical term or geographic name entry element |
Calculus of variations. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Firdawsi. |
| -- |
Shahnamah. |
|
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| Topical term or geographic name entry element |
Metropolitan Museum of Art (New York, N.Y.) |
|
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| Topical term or geographic name entry element |
Illumination of books and manuscripts, Iranian. |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Rund, Hanno. |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Canby, Sheila R., |
| Relator term |
editor of compilation. |
|
|---|
| Personal name |
Firdawsi. |
|
|---|
| Personal name |
Metropolitan Museum of Art (New York, N.Y.) |
| 852 ## - LOCATION |
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| Piece designation |
55509 |
| -- |
0.00 |
| Classification part |
515.63 LOV-T |
| -- |
Gift and Donations |
| Sublocation or collection |
Ground Floor |
| Former shelving location |
Books |
| Copy number |
1 |
| Piece physical condition |
2-Good |
| Location |
JZL-CUI |
| 852 ## - LOCATION |
|---|
| Piece designation |
55684 |
| -- |
8392.00 |
| Classification part |
745.670955 CAN-S |
| -- |
Second Wind |
| Sublocation or collection |
Ground Floor |
| Former shelving location |
Books |
| Copy number |
1 |
| Piece physical condition |
1-New |
| Location |
JZL-CUI |
