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 spacetime dimensions can be solved using the inverse scattering transform, the higherdimensional examples of antiselfdual YangMills 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 selfcontained 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 antiselfduality 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.
 Antiselfdual 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 zerocurvature representation
 4.
 Lie symmetries and reductions
 Isbn
 9780198570639
 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 spacetime dimensions can be solved using the inverse scattering transform, the higherdimensional examples of antiselfdual YangMills 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 selfcontained 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 antiselfduality 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
 Wavemotion, 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.
 Antiselfdual 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 zerocurvature representation
 4.
 Lie symmetries and reductions
 Control code
 320199531
 Dimensions
 25 cm
 Extent
 xi, 359 pages
 Isbn
 9780198570639
 Isbn Type
 (pbk.)
 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.
 Antiselfdual 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 zerocurvature representation
 4.
 Lie symmetries and reductions
 Control code
 320199531
 Dimensions
 25 cm
 Extent
 xi, 359 pages
 Isbn
 9780198570639
 Isbn Type
 (pbk.)
 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 faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/SolitonsinstantonsandtwistorsMaciej/d872hhsduMw/" 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/SolitonsinstantonsandtwistorsMaciej/d872hhsduMw/">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>