An Introduction to the Mathematical Theory of Waves (Student

An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3)
- Used Book in Good Condition
This book is based on an undergraduate course taught at the IAS/Park City Mathematics Institute (Utah) on linear and nonlinear waves. The first part of the text overviews the concept of a wave, describes one-dimensional waves using functions of two variables, provides an introduction to partial differential equations, and discusses computer-aided visualization techniques. The second part of the book discusses traveling waves, leading to a description of solitary waves and soliton solutions of the Klein-Gordon and Korteweg-deVries equations. The wave equation is derived to model the small vibrations of a taut string, and solutions are constructed via d'Alembert's formula and Fourier series. The last part of the book discusses waves arising from conservation laws. After deriving and discussing the scalar conservation law, its solution is described using the method of characteristics, leading to the formation of shock and rarefaction waves. Applications of these concepts are then given for models of traffic flow.
Country USA
Brand Brand: American Mathematical Society
Manufacturer Amer Mathematical Society
Binding Paperback
UnitCount 1
EANs 9780821820391
ReleaseDate 0000-00-00

Country	USA
Brand	Brand: American Mathematical Society
Manufacturer	Amer Mathematical Society
Binding	Paperback
UnitCount	1
EANs	9780821820391
ReleaseDate	0000-00-00

An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3)