The Resource Introduction to partial differential equations, David Borthwick

Introduction to partial differential equations, David Borthwick

Label
Introduction to partial differential equations
Title
Introduction to partial differential equations
Statement of responsibility
David Borthwick
Creator
Author
Subject
Genre
Language
eng
Summary
This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise. Within each section the author creates a narrative that answers the five questions: (1) What is the scientific problem we are trying to understand? (2) How do we model that with PDE? (3) What techniques can we use to analyze the PDE? (4) How do those techniques apply to this equation? (5) What information or insight did we obtain by developing and analyzing the PDE? The text stresses the interplay between modeling and mathematical analysis, providing a thorough source of problems and an inspiration for the development of methods
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Borthwick, David
Dewey number
515/.353
Illustrations
illustrations
Index
index present
LC call number
QA377
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Differential equations, Partial
  • Differential equations, Partial
  • Mathematics
  • Partial Differential Equations
  • Mathematical Applications in the Physical Sciences
  • Mathematics
  • Mathematical modelling
  • Mathematics
  • Differential calculus & equations
Label
Introduction to partial differential equations, David Borthwick
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-48936-0
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Preliminaries -- 3. Conservation Equations and Characteristics -- 4. The Wave Equation -- 5. Separation of Variables -- 6. The Heat Equation -- 7. Function Spaces -- 8. Fourier Series -- 9. Maximum Principles -- 10. Weak Solutions -- 11. Variational Methods -- 12. Distributions -- 13. The Fourier Transform -- A. Appendix: Analysis Foundations -- References -- Notation Guide -- Index
Dimensions
unknown
Extent
1 online resource (xiv, 285 pages)
File format
unknown
Form of item
online
Isbn
9783319489360
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-48936-0
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)969887901
  • (OCoLC)ocn969887901
Label
Introduction to partial differential equations, David Borthwick
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-48936-0
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Preliminaries -- 3. Conservation Equations and Characteristics -- 4. The Wave Equation -- 5. Separation of Variables -- 6. The Heat Equation -- 7. Function Spaces -- 8. Fourier Series -- 9. Maximum Principles -- 10. Weak Solutions -- 11. Variational Methods -- 12. Distributions -- 13. The Fourier Transform -- A. Appendix: Analysis Foundations -- References -- Notation Guide -- Index
Dimensions
unknown
Extent
1 online resource (xiv, 285 pages)
File format
unknown
Form of item
online
Isbn
9783319489360
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-48936-0
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)969887901
  • (OCoLC)ocn969887901

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