How Long to Read Lectures on Generating Functions

By Sergei K. Lando

How Long Does it Take to Read Lectures on Generating Functions?

It takes the average reader 2 hours and 50 minutes to read Lectures on Generating Functions by Sergei K. Lando

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

Description

In combinatorics, one often considers the process of enumerating objects of a certain nature, which results in a sequence of positive integers. With each such sequence, one can associate a generating function, whose properties tell us a lot about the nature of the objects being enumerated. Nowadays, the language of generating functions is the main language of enumerative combinatorics. This book is based on the course given by the author at the College of Mathematics of the Independent University of Moscow. It starts with definitions, simple properties, and numerous examples of generating functions. It then discusses various topics, such as formal grammars, generating functions in several variables, partitions and decompositions, and the exclusion-inclusion principle. In the final chapter, the author describes applications of generating functions to enumeration of trees, plane graphs, and graphs embedded in two-dimensional surfaces. Throughout the book, the reader is motivated by interesting examples rather than by general theories. It also contains a lot of exercises to help the reader master the material. Little beyond the standard calculus course is necessary to understand the book. It can serve as a text for a one-semester undergraduate course in combinatorics.

How long is Lectures on Generating Functions?

Lectures on Generating Functions by Sergei K. Lando is 170 pages long, and a total of 42,500 words.

This makes it 57% the length of the average book. It also has 52% more words than the average book.

How Long Does it Take to Read Lectures on Generating Functions Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 52 minutes to read Lectures on Generating Functions aloud.

What Reading Level is Lectures on Generating Functions?

Lectures on Generating Functions is suitable for students ages 10 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 Lectures on Generating Functions?

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