MARC details
| 000 -LEADER |
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| fixed length control field |
03429cam a22004575i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
21580056 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240619121347.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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m |o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr ||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
180829s2018 gw |||| o |||| 0|eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2019736271 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783030101800 (Pbk) |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-3-319-72278-8 |
| Source of number or code |
doi |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(DE-He213)978-3-319-72278-8 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Language of cataloging |
eng |
| Description conventions |
pn |
| -- |
rda |
| Transcribing agency |
IISERB |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
MAT012030 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PBMP |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PBMP |
| Source |
thema |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
516.36 F86R |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Frauenfelder, Urs. |
| Relator term |
author. |
| 9 (RLIN) |
30453 |
| 245 14 - TITLE STATEMENT |
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| Title |
Restricted Three-Body Problem and Holomorphic Curves |
| Statement of responsibility, etc |
by Urs Frauenfelder, Otto van Koert. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
1st ed. 2018. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Switzarland: |
| Name of publisher, distributor, etc |
Springer-Nature, |
| Date of publication, distribution, etc |
2018. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XI, 374 pages |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Pathways in Mathematics, |
| International Standard Serial Number |
2367-3451 |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Introduction -- Symplectic geometry and Hamiltonian mechanics -- Symmetries -- Regularization of two body collisions -- The restricted three body problem -- Contact geometry and the restricted three body problem -- Periodic orbits in Hamiltonian systems -- Periodic orbits in the restricted three body problem -- Global surfaces of section -- The Maslov Index -- Spectral flow -- Convexity -- Finite energy planes -- Siefring's intersection theory for fast finite energy planes -- The moduli space of fast finite energy planes -- Compactness -- Construction of global surfaces of section -- Numerics and dynamics via global surfaces of section. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
The book serves as an introduction to holomorphic curves in symplectic manifolds, focusing on the case of four-dimensional symplectizations and symplectic cobordisms, and their applications to celestial mechanics. The authors study the restricted three-body problem using recent techniques coming from the theory of pseudo-holomorphic curves. The book starts with an introduction to relevant topics in symplectic topology and Hamiltonian dynamics before introducing some well-known systems from celestial mechanics, such as the Kepler problem and the restricted three-body problem. After an overview of different regularizations of these systems, the book continues with a discussion of periodic orbits and global surfaces of section for these and more general systems. The second half of the book is primarily dedicated to developing the theory of holomorphic curves - specifically the theory of fast finite energy planes - to elucidate the proofs of the existence results for global surfaces of section stated earlier. The book closes with a chapter summarizing the results of some numerical experiments related to finding periodic orbits and global surfaces of sections in the restricted three-body problem. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Differential geometry. |
| 9 (RLIN) |
30454 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Functions of complex variables. |
| 9 (RLIN) |
30455 |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Differential Geometry. |
| 9 (RLIN) |
30456 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Several Complex Variables and Analytic Spaces. |
| 9 (RLIN) |
30457 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
van Koert, Otto. |
| Relator term |
author. |
| 9 (RLIN) |
30458 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Print version: |
| Title |
The restricted three-body problem and holomorphic curves |
| International Standard Book Number |
9783319722771 |
| Record control number |
(DLC) 2018953209 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783030101800 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783319722771 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783319722795 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
Pathways in Mathematics, |
| 9 (RLIN) |
30459 |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
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| a |
0 |
| b |
ibc |
| c |
origres |
| d |
u |
| e |
ncip |
| f |
20 |
| g |
y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
