How Long to Read Cohomological Analysis of Partial Differential Equations and Secondary Calculus

How Long Does it Take to Read Cohomological Analysis of Partial Differential Equations and Secondary Calculus?

It takes the average reader 4 hours and 36 minutes to read Cohomological Analysis of Partial Differential Equations and Secondary Calculus by A. M. Vinogradov

Assuming a reading speed of 250 words per minute. Learn more

Description

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 (nonlinear) PDE's. Secondary Calculus surprisingly reveals a deep cohomological nature of the general theory of PDE's and indicates new directions of its further progress. Recent developments in quantum field theory showed Secondary Calculus to be its natural language, promising a nonperturbative formulation of the theory. In addition to PDE's themselves, the author describes existing and potential applications of Secondary Calculus ranging from algebraic geometry to field theory, classical and quantum, including areas such as characteristic classes, differential invariants, theory of geometric structures, variational calculus, control theory, etc. This book, focused mainly on theoretical aspects, forms a natural dipole with Symmetries and Conservation Laws for Differential Equations of Mathematical Physics, Volume 182 in this same series, Translations of Mathematical Monographs, and shows the theory "in action".

How long is Cohomological Analysis of Partial Differential Equations and Secondary Calculus?

Cohomological Analysis of Partial Differential Equations and Secondary Calculus by A. M. Vinogradov is 268 pages long, and a total of 69,144 words.

This makes it 90% the length of the average book. It also has 85% more words than the average book.

How Long Does it Take to Read Cohomological Analysis of Partial Differential Equations and Secondary Calculus Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 17 minutes to read Cohomological Analysis of Partial Differential Equations and Secondary Calculus aloud.

What Reading Level is Cohomological Analysis of Partial Differential Equations and Secondary Calculus?

Cohomological Analysis of Partial Differential Equations and Secondary Calculus is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Cohomological Analysis of Partial Differential Equations and Secondary Calculus?

Cohomological Analysis of Partial Differential Equations and Secondary Calculus by A. M. Vinogradov is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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