How Long to Read Dual Sets of Envelopes and Characteristic Regions of Quasi-polynomials

How Long Does it Take to Read Dual Sets of Envelopes and Characteristic Regions of Quasi-polynomials?

It takes the average reader 4 hours and 1 minute to read Dual Sets of Envelopes and Characteristic Regions of Quasi-polynomials by Sui Sun Cheng

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

Description

Existence and nonexistence of roots of functions involving one or more parameters has been the subject of numerous investigations. For a wide class of functions called quasi-polynomials, the above problems can be transformed into the existence and nonexistence of tangents of the envelope curves associated with the functions under investigation. In this book, we present a formal theory of the Chengndash;Lin envelope method, which is completely new, yet simple and precise. This method is both simple - since only basic Calculus concepts are needed for understanding - and precise, since necessary and sufficient conditions can be obtained for functions such as polynomials containing more than four parameters. Since the underlying principles are relatively simple, this book is useful to college students who want to see immediate applications of what they learn in Calculus; to graduate students who want to do research in functional equations; and to researchers who want references on roots of quasi-polynomials encountered in the theory of difference and differential equations.

How long is Dual Sets of Envelopes and Characteristic Regions of Quasi-polynomials?

Dual Sets of Envelopes and Characteristic Regions of Quasi-polynomials by Sui Sun Cheng is 236 pages long, and a total of 60,416 words.

This makes it 80% the length of the average book. It also has 74% more words than the average book.

How Long Does it Take to Read Dual Sets of Envelopes and Characteristic Regions of Quasi-polynomials Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 30 minutes to read Dual Sets of Envelopes and Characteristic Regions of Quasi-polynomials aloud.

What Reading Level is Dual Sets of Envelopes and Characteristic Regions of Quasi-polynomials?

Dual Sets of Envelopes and Characteristic Regions of Quasi-polynomials 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 Dual Sets of Envelopes and Characteristic Regions of Quasi-polynomials?

Dual Sets of Envelopes and Characteristic Regions of Quasi-polynomials by Sui Sun Cheng 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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