The Resource Introduction to partial differential equations, Peter J. Olver

Introduction to partial differential equations, Peter J. Olver

Label
Introduction to partial differential equations
Title
Introduction to partial differential equations
Statement of responsibility
Peter J. Olver
Creator
Author
Subject
Genre
Language
eng
Summary
This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solitons, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Olver, Peter J
Dewey number
515.353
Illustrations
illustrations
Index
index present
LC call number
QA377
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
Online Book
Series statement
Undergraduate Texts in Mathematics,
http://library.link/vocab/subjectName
  • Differential equations, Partial
  • Mathematics
  • Models, Theoretical
  • Differential equations, Partial
  • Mathematics
  • Partial Differential Equations
  • Complex Systems
  • Fourier Analysis
Label
Introduction to partial differential equations, Peter J. Olver
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-02099-0
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and indexes
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
What are Partial Differential Equations? -- Linear and Nonlinear Waves -- Fourier Series -- Separation of Variables -- Finite Differences -- Generalized Functions and Green's Functions -- Complex Analysis and Conformal Mapping -- Fourier Transforms -- Linear and Nonlinear Evolution Equations -- A General Framework for Linear Partial Differential Equations -- Finite Elements and Weak Solutions -- Dynamics of Planar Media -- Partial Differential Equations in Space
Dimensions
unknown
Extent
1 online resource (xxv, 635 pages)
File format
unknown
Form of item
online
Isbn
9783319020983
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-02099-0
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)865579919
  • (OCoLC)ocn865579919
Label
Introduction to partial differential equations, Peter J. Olver
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-02099-0
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and indexes
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
What are Partial Differential Equations? -- Linear and Nonlinear Waves -- Fourier Series -- Separation of Variables -- Finite Differences -- Generalized Functions and Green's Functions -- Complex Analysis and Conformal Mapping -- Fourier Transforms -- Linear and Nonlinear Evolution Equations -- A General Framework for Linear Partial Differential Equations -- Finite Elements and Weak Solutions -- Dynamics of Planar Media -- Partial Differential Equations in Space
Dimensions
unknown
Extent
1 online resource (xxv, 635 pages)
File format
unknown
Form of item
online
Isbn
9783319020983
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-02099-0
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)865579919
  • (OCoLC)ocn865579919

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