How Long to Read Generalized Functions, Volume 4

By I. M. Gel′fand

How Long Does it Take to Read Generalized Functions, Volume 4?

It takes the average reader 6 hours and 30 minutes to read Generalized Functions, Volume 4 by I. M. Gel′fand

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

Description

The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gel′fand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory. The main goal of Volume 4 is to develop the functional analysis setup for the universe of generalized functions. The main notion introduced in this volume is the notion of rigged Hilbert space (also known as the equipped Hilbert space, or Gelfand triple). Such space is, in fact, a triple of topological vector spaces E⊂H⊂E′, where H is a Hilbert space, E′ is dual to E, and inclusions E⊂H and H⊂E′ are nuclear operators. The book is devoted to various applications of this notion, such as the theory of positive definite generalized functions, the theory of generalized stochastic processes, and the study of measures on linear topological spaces.

How long is Generalized Functions, Volume 4?

Generalized Functions, Volume 4 by I. M. Gel′fand is 384 pages long, and a total of 97,536 words.

This makes it 130% the length of the average book. It also has 119% more words than the average book.

How Long Does it Take to Read Generalized Functions, Volume 4 Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 52 minutes to read Generalized Functions, Volume 4 aloud.

What Reading Level is Generalized Functions, Volume 4?

Generalized Functions, Volume 4 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 Generalized Functions, Volume 4?

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