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The Resource Introduction to Partial Differential Equations, by Peter J. Olver, (electronic resource)

Introduction to Partial Differential Equations, by Peter J. Olver, (electronic resource)

Label
Introduction to Partial Differential Equations
Title
Introduction to Partial Differential Equations
Statement of responsibility
by Peter J. Olver
Creator
Contributor
Author
Subject
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. Peter J. Olver is professor of mathematics at the University of Minnesota. His wide-ranging research interests are centered on the development of symmetry-based methods for differential equations and their manifold applications. He is the author of over 130 papers published in major scientific research journals as well as 4 other books, including the definitive Springer graduate text, Applications of Lie Groups to Differential Equations, and another undergraduate text, Applied Linear Algebra
Member of
Cataloging source
IT-FiEUI
http://library.link/vocab/creatorName
Olver, Peter J
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink (Online service)
Series statement
  • Undergraduate Texts in Mathematics,
  • Springer eBooks
http://library.link/vocab/subjectName
  • Mathematics
  • Fourier analysis
  • Differential equations, Partial
Label
Introduction to Partial Differential Equations, by Peter J. Olver, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-02099-0
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
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 forLinear Partial Differential Equations -- FiniteElements and Weak Solutions.-Dynamics of Planar Media.-Partial Differential Equations in Space
Control code
978-3-319-02099-0
Dimensions
unknown
Extent
XXV, 635 pages 143 illustrations
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319020990
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-02099-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086529698
Label
Introduction to Partial Differential Equations, by Peter J. Olver, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-02099-0
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
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 forLinear Partial Differential Equations -- FiniteElements and Weak Solutions.-Dynamics of Planar Media.-Partial Differential Equations in Space
Control code
978-3-319-02099-0
Dimensions
unknown
Extent
XXV, 635 pages 143 illustrations
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319020990
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-02099-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086529698

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