How Long to Read Singularities of Functions, Wave Fronts, Caustics and Multidimensional Integrals

How Long Does it Take to Read Singularities of Functions, Wave Fronts, Caustics and Multidimensional Integrals?

It takes the average reader 1 hour and 32 minutes to read Singularities of Functions, Wave Fronts, Caustics and Multidimensional Integrals by Vladimir Igorevich Arnolʹd

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

Description

This classic paper is an introduction to some difficult contemporary fields of study in mathematics known under the rubric of Catastrophe Theory, which encompasses the theory of typical singularities of functions and mappings. The authors discuss the basic ideas, concepts and methods of the theory of singularities. The survey is presented in three sections: Section 1: Singularities of Functions, Caustics and Wave Fronts. Section 2: Integrals of the Stationary Phase Method. Section 3: The Geometry of Fomulas. The survey provides a useful source of reference for students, postgraduates and researchers in these areas of mathematics.

How long is Singularities of Functions, Wave Fronts, Caustics and Multidimensional Integrals?

Singularities of Functions, Wave Fronts, Caustics and Multidimensional Integrals by Vladimir Igorevich Arnolʹd is 92 pages long, and a total of 23,184 words.

This makes it 31% the length of the average book. It also has 28% more words than the average book.

How Long Does it Take to Read Singularities of Functions, Wave Fronts, Caustics and Multidimensional Integrals Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 6 minutes to read Singularities of Functions, Wave Fronts, Caustics and Multidimensional Integrals aloud.

What Reading Level is Singularities of Functions, Wave Fronts, Caustics and Multidimensional Integrals?

Singularities of Functions, Wave Fronts, Caustics and Multidimensional Integrals 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 Singularities of Functions, Wave Fronts, Caustics and Multidimensional Integrals?

Singularities of Functions, Wave Fronts, Caustics and Multidimensional Integrals by Vladimir Igorevich Arnolʹd 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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