Coverart for item
The Resource Glimpses of soliton theory : the algebra and geometry of nonlinear PDEs, Alex Kasman

Glimpses of soliton theory : the algebra and geometry of nonlinear PDEs, Alex Kasman

Label
Glimpses of soliton theory : the algebra and geometry of nonlinear PDEs
Title
Glimpses of soliton theory
Title remainder
the algebra and geometry of nonlinear PDEs
Statement of responsibility
Alex Kasman
Creator
Subject
Language
eng
Summary
  • Solitons are explicit solutions to nonlinear partial differential equations exhibiting particle-like behavior. This is quite surprising, both mathematically and physically. Waves with these properties were once believed to be impossible by leading mathematical physicists, yet they are now not only accepted as a theoretical possibility but are regularly observed in nature and form the basis of modern fiber-optic communication networks. --
  • Glimpses of Soliton Theory addresses some of the hidden mathematical connections in soliton theory which have been revealed over the last half-century. It aims to convince the reader that, like the mirrors and hidden pockets used by magicians, the underlying algebro-geometric structure of soliton equations provides an elegant and surprisingly simple explanation of something seemingly miraculous. --
  • Assuming only multivariable calculus and linear algebra as prerequisites, this book introduces the reader to the KdV Equation and its multisoliton solutions, elliptic curves and Weierstrass -functions, the algebra of differential operators, Lax Pairs and their use in discovering other soliton equations, wedge products and decomposability, the KP Equation and Sato's theory relating the Bilinear KP Equation to the geometry of Grassmannians. --
  • Notable features of the book include: careful selection of topics and detailed explanations to make this advanced subject accessible to any undergraduate math major, numerous worked examples and thought-provoking but not overly-difficult exercises, footnotes and lists of suggested readings to guide the interested reader to more information, and use of the software package Mathematica± to facilitate computation and to animate the solutions under study. This book provides the reader with a unique glimpse of the unity of mathematics and could form the basis for a self-study, one-semester special topics, or "capstone" course. --Book Jacket
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1967-
http://library.link/vocab/creatorName
Kasman, Alex
Dewey number
515/.353
Illustrations
illustrations
Index
index present
LC call number
QA377
LC item number
.K367 2010
Literary form
non fiction
Nature of contents
bibliography
Series statement
Student mathematical library
Series volume
v. 54
http://library.link/vocab/subjectName
  • Korteweg-de Vries equation
  • Geometry, Algebraic
  • Differential equations, Partial
Label
Glimpses of soliton theory : the algebra and geometry of nonlinear PDEs, Alex Kasman
Instantiates
Publication
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
Control code
645246111
Dimensions
22 cm
Extent
xvi, 304 pages
Isbn
9780821852453
Isbn Type
(alk. paper)
Lccn
2010024820
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)645246111
Label
Glimpses of soliton theory : the algebra and geometry of nonlinear PDEs, Alex Kasman
Publication
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
Control code
645246111
Dimensions
22 cm
Extent
xvi, 304 pages
Isbn
9780821852453
Isbn Type
(alk. paper)
Lccn
2010024820
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)645246111

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
Processing Feedback ...