The Resource An introduction to the mathematical theory of waves, Roger Knobel
An introduction to the mathematical theory of waves, Roger Knobel
Resource Information
The item An introduction to the mathematical theory of waves, Roger Knobel 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 An introduction to the mathematical theory of waves, Roger Knobel 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
- "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."--Jacket
- Language
- eng
- Extent
- xiv, 196 pages
- Contents
-
- pt. 2.
- Traveling and Standing Waves
- Ch. 4.
- Traveling Waves
- Ch. 5.
- The Korteweg-deVries Equation
- Ch. 6.
- The Sine-Gordon Equation
- Ch. 7.
- The Wave Equation
- pt. 1.
- Ch. 8.
- D'Alembert's Solution of the Wave Equation
- Ch. 9.
- Vibrations of a Semi-infinite String
- Ch. 10.
- Characteristic Lines of the Wave Equation
- Ch. 11.
- Standing Wave Solutions of the Wave Equation
- Ch. 12.
- Standing Waves of a Nonhomogeneous String
- Introduction
- Ch. 13.
- Superposition of Standing Waves
- Ch. 14.
- Fourier Series and the Wave Equation
- pt. 3.
- Waves in Conservation Laws
- Ch. 15.
- Conservation Laws
- Ch. 16.
- Examples of Conservation Laws
- Ch. 1.
- Ch. 17.
- The Method of Characteristics
- Ch. 18.
- Gradient Catastrophes and Breaking Times
- Ch. 19.
- Shock Waves
- Ch. 20.
- Shock Wave Example: Traffic at a Red Light
- Ch. 21.
- Shock Waves and the Viscosity Method
- Introduction to Waves
- Ch. 22.
- Rarefaction Waves
- Ch. 23.
- An Example with Rarefaction and Shock Waves
- Ch. 24.
- Nonunique Solutions and the Entropy Condition
- Ch. 25.
- Weak Solutions of Conservation Laws
- Ch. 2.
- A Mathematical Representation of Waves
- Ch. 3.
- Partial Differential Equations
- Isbn
- 9780821820391
- Label
- An introduction to the mathematical theory of waves
- Title
- An introduction to the mathematical theory of waves
- Statement of responsibility
- Roger Knobel
- Language
- eng
- Summary
- "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."--Jacket
- Cataloging source
- DLC
- http://library.link/vocab/creatorDate
- 1962-
- http://library.link/vocab/creatorName
- Knobel, Roger
- Dewey number
- 531/.1133
- Illustrations
- illustrations
- Index
- index present
- LC call number
- QA927
- LC item number
- .K693 2000
- Literary form
- non fiction
- Nature of contents
- bibliography
- Series statement
-
- Student mathematical library,
- IAS/Park City mathematical subseries
- Series volume
- v. 3
- http://library.link/vocab/subjectName
-
- Wave-motion, Theory of
- Mouvement ondulatoire, Théorie du
- Partiële differentiaalvergelijkingen
- Golven (algemeen, natuurkunde)
- Mouvement ondulatoire, Théorie du
- Mathematische Physik
- Schwingung
- Schwingungsgleichung
- Welle
- Wellenbewegung
- Wellengleichung
- Label
- An introduction to the mathematical theory of waves, Roger Knobel
- Bibliography note
- Includes bibliographical references (pages 193-194) 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
-
- pt. 2.
- Traveling and Standing Waves
- Ch. 4.
- Traveling Waves
- Ch. 5.
- The Korteweg-deVries Equation
- Ch. 6.
- The Sine-Gordon Equation
- Ch. 7.
- The Wave Equation
- pt. 1.
- Ch. 8.
- D'Alembert's Solution of the Wave Equation
- Ch. 9.
- Vibrations of a Semi-infinite String
- Ch. 10.
- Characteristic Lines of the Wave Equation
- Ch. 11.
- Standing Wave Solutions of the Wave Equation
- Ch. 12.
- Standing Waves of a Nonhomogeneous String
- Introduction
- Ch. 13.
- Superposition of Standing Waves
- Ch. 14.
- Fourier Series and the Wave Equation
- pt. 3.
- Waves in Conservation Laws
- Ch. 15.
- Conservation Laws
- Ch. 16.
- Examples of Conservation Laws
- Ch. 1.
- Ch. 17.
- The Method of Characteristics
- Ch. 18.
- Gradient Catastrophes and Breaking Times
- Ch. 19.
- Shock Waves
- Ch. 20.
- Shock Wave Example: Traffic at a Red Light
- Ch. 21.
- Shock Waves and the Viscosity Method
- Introduction to Waves
- Ch. 22.
- Rarefaction Waves
- Ch. 23.
- An Example with Rarefaction and Shock Waves
- Ch. 24.
- Nonunique Solutions and the Entropy Condition
- Ch. 25.
- Weak Solutions of Conservation Laws
- Ch. 2.
- A Mathematical Representation of Waves
- Ch. 3.
- Partial Differential Equations
- Control code
- 41967027
- Dimensions
- 22 cm
- Extent
- xiv, 196 pages
- Isbn
- 9780821820391
- Isbn Type
- (softcover : alk. paper)
- Lccn
- 99039055
- Media category
- unmediated
- Media MARC source
- rdamedia
- Media type code
-
- n
- Other physical details
- illustrations
- System control number
- (OCoLC)41967027
- Label
- An introduction to the mathematical theory of waves, Roger Knobel
- Bibliography note
- Includes bibliographical references (pages 193-194) 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
-
- pt. 2.
- Traveling and Standing Waves
- Ch. 4.
- Traveling Waves
- Ch. 5.
- The Korteweg-deVries Equation
- Ch. 6.
- The Sine-Gordon Equation
- Ch. 7.
- The Wave Equation
- pt. 1.
- Ch. 8.
- D'Alembert's Solution of the Wave Equation
- Ch. 9.
- Vibrations of a Semi-infinite String
- Ch. 10.
- Characteristic Lines of the Wave Equation
- Ch. 11.
- Standing Wave Solutions of the Wave Equation
- Ch. 12.
- Standing Waves of a Nonhomogeneous String
- Introduction
- Ch. 13.
- Superposition of Standing Waves
- Ch. 14.
- Fourier Series and the Wave Equation
- pt. 3.
- Waves in Conservation Laws
- Ch. 15.
- Conservation Laws
- Ch. 16.
- Examples of Conservation Laws
- Ch. 1.
- Ch. 17.
- The Method of Characteristics
- Ch. 18.
- Gradient Catastrophes and Breaking Times
- Ch. 19.
- Shock Waves
- Ch. 20.
- Shock Wave Example: Traffic at a Red Light
- Ch. 21.
- Shock Waves and the Viscosity Method
- Introduction to Waves
- Ch. 22.
- Rarefaction Waves
- Ch. 23.
- An Example with Rarefaction and Shock Waves
- Ch. 24.
- Nonunique Solutions and the Entropy Condition
- Ch. 25.
- Weak Solutions of Conservation Laws
- Ch. 2.
- A Mathematical Representation of Waves
- Ch. 3.
- Partial Differential Equations
- Control code
- 41967027
- Dimensions
- 22 cm
- Extent
- xiv, 196 pages
- Isbn
- 9780821820391
- Isbn Type
- (softcover : alk. paper)
- Lccn
- 99039055
- Media category
- unmediated
- Media MARC source
- rdamedia
- Media type code
-
- n
- Other physical details
- illustrations
- System control number
- (OCoLC)41967027
Subject
- Mathematische Physik
- Mouvement ondulatoire, Théorie du
- Mouvement ondulatoire, Théorie du
- Partiële differentiaalvergelijkingen
- Schwingung
- Schwingungsgleichung
- Wave-motion, Theory of
- Welle
- Wellenbewegung
- Wellengleichung
- Golven (algemeen, natuurkunde)
Member of
- Student mathematical library, IAS/Park City mathematical subseries
- Student mathematical library, v. 3
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