It takes the average reader 6 hours and 14 minutes to read Lecture Notes on Geometrical Aspects of Partial Differential Equations by V V Zharinov
Assuming a reading speed of 250 words per minute. Learn more
This book focuses on the properties of nonlinear systems of PDE with geometrical origin and the natural description in the language of infinite-dimensional differential geometry. The treatment is very informal and the theory is illustrated by various examples from mathematical physics. All necessary information about the infinite-dimensional geometry is given in the text. Contents:Introduction: Internal Geometry of PDE:Differential ManifoldsLie-Backlund MappingsLie-Backlund Fields and Infinitesimal SymmetriesCartan Forms, Currents and Conservation LawsC-Spectral Sequence. Further Properties of Conservation LawsTrivial Equations. The Formal Variational CalculusEvolution EquationsExternal Geometry of PDE:Differential SubmanifoldsNormal Projection. External Fields and FormsTrivial Ambient Differential ManifoldsThe Characteristic MappingThe Green's FormulaLow-Dimensional Conservation LawsBacklund CorrespondenceFurther Studies:Lagrangian FormalismHamiltonian EquationsExample: The Nambu's StringAppendix Readership: Graduate students and researchers in mathematical physics. keywords:Differential Manifolds;Lie-Bäcklund Mappings;Cartan Forms;Currents;Conservation Laws;Lagrangian Formation;Hamiltonian Equations
Lecture Notes on Geometrical Aspects of Partial Differential Equations by V V Zharinov is 372 pages long, and a total of 93,744 words.
This makes it 126% the length of the average book. It also has 115% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 8 hours and 32 minutes to read Lecture Notes on Geometrical Aspects of Partial Differential Equations aloud.
Lecture Notes on Geometrical Aspects of Partial Differential Equations is suitable for students ages 12 and up.
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