Lectures on Partial Differential Equations
E1046818
"Lectures on Partial Differential Equations" is a concise, influential textbook by Vladimir Arnold that presents the theory of partial differential equations with a strong geometric and intuitive emphasis.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Lectures on Partial Differential Equations canonical | 1 |
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
nonfiction book ⓘ textbook ⓘ |
| approach |
coordinate-free methods
ⓘ
geometric theory of PDEs ⓘ use of differential geometry ⓘ |
| author |
V. I. Arnold
NERFINISHED
ⓘ
Vladimir Arnold NERFINISHED ⓘ |
| emphasis |
geometric approach
ⓘ
intuitive exposition ⓘ qualitative theory of PDEs ⓘ |
| field |
mathematical analysis
ⓘ
mathematics ⓘ partial differential equations ⓘ |
| hasReputation |
concise
ⓘ
geometrically oriented ⓘ influential ⓘ |
| hasTranslation | English edition of Lectures on Partial Differential Equations ⓘ |
| influencedBy |
classical theory of partial differential equations
ⓘ
geometric methods in analysis ⓘ |
| influentialFor |
advanced undergraduate PDE courses
ⓘ
geometric approaches to PDEs ⓘ graduate PDE courses ⓘ |
| language |
English
ⓘ
Russian ⓘ |
| originalLanguage | Russian ⓘ |
| pedagogicalStyle |
concise
ⓘ
example-driven ⓘ intuitive ⓘ |
| relatedWork |
Mathematical Methods of Classical Mechanics
NERFINISHED
ⓘ
Ordinary Differential Equations by Vladimir Arnold NERFINISHED ⓘ |
| targetAudience |
advanced undergraduates in mathematics
ⓘ
graduate students in mathematics ⓘ researchers interested in geometric methods in PDEs ⓘ |
| topic |
Cauchy problem
ⓘ
Hamilton–Jacobi equations ⓘ Laplace equation ⓘ characteristics ⓘ classification of partial differential equations ⓘ elliptic equations ⓘ first-order partial differential equations ⓘ heat equation ⓘ hyperbolic equations ⓘ parabolic equations ⓘ second-order partial differential equations ⓘ wave equation ⓘ |
| usedAs |
course reference
ⓘ
university textbook ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.