The Resource Solitons, instantons, and twistors, Maciej Dunajski
Solitons, instantons, and twistors, Maciej Dunajski
Resource Information
The item Solitons, instantons, and twistors, Maciej Dunajski represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Solitons, instantons, and twistors, Maciej Dunajski represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- "Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well behaved solutions known as solitons and instantons. These solutions play important roles in pure and applied mathematics as well as in theoretical physics where they describe configurations topologically different from vacuum. While integrable equations in lower space-time dimensions can be solved using the inverse scattering transform, the higher-dimensional examples of anti-self-dual Yang-Mills and Einstein equations require twistor theory. Both techniques rely on an ability to represent nonlinear equations as compatibility conditions for overdetermined systems of linear differential equations." "The book provides a self-contained and accessible introduction to the subject. It starts with an introduction to integrability of ordinary and partial differential equations. Subsequent chapters explore symmetry analysis, gauge theory, gravitational instantons, twistor transforms, and anti-self-duality equations. The three appendices cover basic differential geometry, complex manifold theory, and the exterior differential system."--BOOK JACKET
- Language
- eng
- Extent
- xi, 359 pages
- Contents
-
- 5.
- Lagrangian formalism and field theory
- 6.
- Gauge field theory
- 7.
- Integrability of ASDYM and twistor theory
- 8.
- Symmetry reductions and the integrable chiral model
- 9.
- Gravitational instantons
- 1.
- 10.
- Anti-self-dual conformal structures
- Appendix A.
- Manifolds and topology
- Appendix B.
- Complex analysis
- Appendix C.
- Overdetermined PDEs
- Integrability in classical mechanics
- 2.
- Soliton equations and the inverse scattering transform
- 3.
- Hamiltonian formalism and zero-curvature representation
- 4.
- Lie symmetries and reductions
- Isbn
- 9780198570622
- Label
- Solitons, instantons, and twistors
- Title
- Solitons, instantons, and twistors
- Statement of responsibility
- Maciej Dunajski
- Language
- eng
- Summary
- "Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well behaved solutions known as solitons and instantons. These solutions play important roles in pure and applied mathematics as well as in theoretical physics where they describe configurations topologically different from vacuum. While integrable equations in lower space-time dimensions can be solved using the inverse scattering transform, the higher-dimensional examples of anti-self-dual Yang-Mills and Einstein equations require twistor theory. Both techniques rely on an ability to represent nonlinear equations as compatibility conditions for overdetermined systems of linear differential equations." "The book provides a self-contained and accessible introduction to the subject. It starts with an introduction to integrability of ordinary and partial differential equations. Subsequent chapters explore symmetry analysis, gauge theory, gravitational instantons, twistor transforms, and anti-self-duality equations. The three appendices cover basic differential geometry, complex manifold theory, and the exterior differential system."--BOOK JACKET
- Cataloging source
- DLC
- http://library.link/vocab/creatorName
- Dunajski, Maciej
- Dewey number
- 530.12/4
- Illustrations
- illustrations
- Index
- index present
- LC call number
- QC174.26.W28
- LC item number
- D86 2010
- Literary form
- non fiction
- Nature of contents
- bibliography
- Series statement
-
- Oxford mathematics
- Oxford graduate texts in mathematics ; 19
- http://library.link/vocab/subjectName
-
- Solitons
- Geometry, Differential
- Wave-motion, Theory of
- Twistor theory
- Label
- Solitons, instantons, and twistors, Maciej Dunajski
- Bibliography note
- Includes bibliographical references and index
- Carrier category
- volume
- Carrier category code
-
- nc
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
-
- 5.
- Lagrangian formalism and field theory
- 6.
- Gauge field theory
- 7.
- Integrability of ASDYM and twistor theory
- 8.
- Symmetry reductions and the integrable chiral model
- 9.
- Gravitational instantons
- 1.
- 10.
- Anti-self-dual conformal structures
- Appendix A.
- Manifolds and topology
- Appendix B.
- Complex analysis
- Appendix C.
- Overdetermined PDEs
- Integrability in classical mechanics
- 2.
- Soliton equations and the inverse scattering transform
- 3.
- Hamiltonian formalism and zero-curvature representation
- 4.
- Lie symmetries and reductions
- Control code
- 320199531
- Dimensions
- 25 cm
- Extent
- xi, 359 pages
- Isbn
- 9780198570622
- Lccn
- 2009032333
- Media category
- unmediated
- Media MARC source
- rdamedia
- Media type code
-
- n
- Other physical details
- illustrations
- System control number
- (OCoLC)320199531
- Label
- Solitons, instantons, and twistors, Maciej Dunajski
- Bibliography note
- Includes bibliographical references and index
- Carrier category
- volume
- Carrier category code
-
- nc
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
-
- 5.
- Lagrangian formalism and field theory
- 6.
- Gauge field theory
- 7.
- Integrability of ASDYM and twistor theory
- 8.
- Symmetry reductions and the integrable chiral model
- 9.
- Gravitational instantons
- 1.
- 10.
- Anti-self-dual conformal structures
- Appendix A.
- Manifolds and topology
- Appendix B.
- Complex analysis
- Appendix C.
- Overdetermined PDEs
- Integrability in classical mechanics
- 2.
- Soliton equations and the inverse scattering transform
- 3.
- Hamiltonian formalism and zero-curvature representation
- 4.
- Lie symmetries and reductions
- Control code
- 320199531
- Dimensions
- 25 cm
- Extent
- xi, 359 pages
- Isbn
- 9780198570622
- Lccn
- 2009032333
- Media category
- unmediated
- Media MARC source
- rdamedia
- Media type code
-
- n
- Other physical details
- illustrations
- System control number
- (OCoLC)320199531
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Solitons-instantons-and-twistors-Maciej/NXGGwoIjJIs/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Solitons-instantons-and-twistors-Maciej/NXGGwoIjJIs/">Solitons, instantons, and twistors, Maciej Dunajski</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>