An introduction to the mathematical theory of waves /
Knobel, Roger, 1962-
An introduction to the mathematical theory of waves / Roger Knobel. - Providence, R.I. : American Mathematical Society : Institute for Advanced Study, c2000. - xiv, 196 p. : ill. ; 22 cm. - Student mathematical library, IAS/Park City mathematical subseries. v. 3. 1520-9121 ; . - Student mathematical library ; v. 3. Student mathematical library. IAS/Park City mathematical subseries. .
Includes bibliographical references (p. 193-194) and index.
"Linear and nonlinear waves are a central part of the theory of PDEs. This book begins with a description of one-dimensional waves and their visualization through computer-aided techniques. Next, traveling waves are covered, such as solitary waves for the Klein-Gordon and KdV equations. Finally, the author gives a lucid discussion of waves arising from conservation laws, including shock and rarefaction waves. As an application, interesting models of traffic flow are used to illustrate conservation laws and wave phenomena." "This book is based on a course given by the author at the IAS/Park City Mathematics Institute. It is suitable for independent study by undergraduate students in mathematics, engineering, and science programs."--BOOK JACKET.
9780821887295
99039055
Wave motion, Theory of.
QA927 / .K693 2000
An introduction to the mathematical theory of waves / Roger Knobel. - Providence, R.I. : American Mathematical Society : Institute for Advanced Study, c2000. - xiv, 196 p. : ill. ; 22 cm. - Student mathematical library, IAS/Park City mathematical subseries. v. 3. 1520-9121 ; . - Student mathematical library ; v. 3. Student mathematical library. IAS/Park City mathematical subseries. .
Includes bibliographical references (p. 193-194) and index.
"Linear and nonlinear waves are a central part of the theory of PDEs. This book begins with a description of one-dimensional waves and their visualization through computer-aided techniques. Next, traveling waves are covered, such as solitary waves for the Klein-Gordon and KdV equations. Finally, the author gives a lucid discussion of waves arising from conservation laws, including shock and rarefaction waves. As an application, interesting models of traffic flow are used to illustrate conservation laws and wave phenomena." "This book is based on a course given by the author at the IAS/Park City Mathematics Institute. It is suitable for independent study by undergraduate students in mathematics, engineering, and science programs."--BOOK JACKET.
9780821887295
99039055
Wave motion, Theory of.
QA927 / .K693 2000