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Cohomological Analysis of Partial Differential Equations and Secondary Calculus
A.M. Vinogradov
€ 193.78
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Description for Cohomological Analysis of Partial Differential Equations and Secondary Calculus
Hardcover. .
This book is dedicated to fundamentals of a new theory, which is an analog of affine algebraic geometry for (nonlinear) partial differential equations. This theory grew up from the classical geometry of PDE's originated by S. Lie and his followers by incorporating some nonclassical ideas from the theory of integrable systems, the formal theory of PDE's in its modern cohomological form given by D. Spencer and H. Goldschmidt and differential calculus over commutative algebras (Primary Calculus). The main result of this synthesis is Secondary Calculus on diffieties, new geometrical objects which are analogs of algebraic varieties in the context of ... Read more
This book is dedicated to fundamentals of a new theory, which is an analog of affine algebraic geometry for (nonlinear) partial differential equations. This theory grew up from the classical geometry of PDE's originated by S. Lie and his followers by incorporating some nonclassical ideas from the theory of integrable systems, the formal theory of PDE's in its modern cohomological form given by D. Spencer and H. Goldschmidt and differential calculus over commutative algebras (Primary Calculus). The main result of this synthesis is Secondary Calculus on diffieties, new geometrical objects which are analogs of algebraic varieties in the context of ... Read more
Product Details
Publisher
American Mathematical Society United States
Number of pages
264
Format
Hardback
Publication date
2002
Series
Translations of Mathematical Monographs Reprint
Condition
New
Place of Publication
Providence, United States
ISBN
9780821829226
SKU
V9780821829226
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-2
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