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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
821022s1983 nyu b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| ISBN |
0387094822 |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
IITK |
| 041 ## - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
eng |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
531 |
| Item number |
Sa59f v.2 |
| 100 1# - MAIN ENTRY--AUTHOR NAME |
|---|
| Personal name |
Santilli, Ruggero Maria |
| 245 10 - TITLE STATEMENT |
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| Title |
Foundations of theoretical mechanics II |
| Statement of responsibility, etc |
Santilli, Ruggero Maria |
| Remainder of title |
birkhoffian generalization of Hamiltonian mechanics |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication |
New York |
| Name of publisher |
Springer-Verlag |
| Year of publication |
1983 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Number of Pages |
xviii, 370p |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Texts and monographs in physics |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Beiglbock, W. (ed.) |
| -- |
Lieb, E. H. (ed.) |
| -- |
Regge, T. (ed.) |
| -- |
Thirring, W. (ed.) |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
In the preceding volume,l I identified necessary and sufficient conditions for the existence of a representation of given Newtonian systems via a variational principle, the so-called conditions of variational self-adjointness. A primary objective of this volume is to establish that all Newtonian systems satisfying certain locality, regularity, and smoothness conditions, whether conservative or nonconservative, can be treated via conventional variational principles, Lie algebra techniques, and symplectic geometrical formulations. This volume therefore resolves a controversy on the repre sentational capabilities of conventional variational principles that has been 2 lingering in the literature for over a century, as reported in Chart 1. 3. 1. The primary results of this volume are the following. In Chapter 4,3 I prove a Theorem of Direct Universality of the Inverse Problem. It establishes the existence, via a variational principle, of a representation for all Newtonian systems of the class admitted (universality) in the coordinates and time variables of the experimenter (direct universality). The underlying analytic equations turn out to be a generalization of conventional Hamilton equations (those without external terms) which: (a) admit the most general possible action functional for first-order systems; (b) possess a Lie algebra structure in the most general possible, regular realization of the product; and (c) 1 Santilli (1978a). As was the case for Volume I, the references are listed at the end of this volume, first in chronological order and then in alphabetic order. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Mechanics |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Inverse problems (Differential equations) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Hamiltonian systems |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Beiglbock, W. (ed.) |
| -- |
Lieb, E. H. (ed.) |
| -- |
Regge, T. (ed.) |
| -- |
Thirring, W. (ed.) |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Books |
