How Long to Read Irrational Numbers and Their Representation by Sequences and Series
By Henry Parker Manning
How Long Does it Take to Read Irrational Numbers and Their Representation by Sequences and Series?
It takes the average reader 2 hours and 10 minutes to read Irrational Numbers and Their Representation by Sequences and Series by Henry Parker Manning
Assuming a reading speed of 250 words per minute. Learn more
Description
Dr. Manning's book on irrational numbers contains a presentation in a simple form of another field of mathematical inquiry, such as is also eminently_ suited for placing in the hands of the ordinary schoolmaster. We have decided that the geometry of proportion shall be taught to schoolboys without reference to irrational quantities, but we have not yet eliminated a spirit of reckless extravagance in the quite unnecessary use of infinite series, often with total disregard for their convergency. In Dr. Manning's treatment an irrational number is defined as forming a point of separation between rational numbers of two classes, the numbers of one class being less than those of the other. This definition appears to involve the assumption (pp. 7, 10, &c.) that the point of separation is unique, in other words, that there cannot be two irrational numbers which have not some rational number separating them. Perhaps this assumption may be regarded as a definition of equality of irrational numbers; in any case, the inquiring reader would find it necessary to examine more fully the references to Dedekind's and Cantor's writings given on p. 56. Once the assumption or definition is made, the representation of numbers by sequences readily follows. The theory of limits is discussed on p. 57, and in the following chapter the notion of a sequence is shown to give rise to that of a series. The remaining portion of the book is mainly devoted to the study of convergence, and includes the well-known multiplication theorem and applications to the still better-known binomial and exponential series. -Nature, Vol. 75
How long is Irrational Numbers and Their Representation by Sequences and Series?
Irrational Numbers and Their Representation by Sequences and Series by Henry Parker Manning is 130 pages long, and a total of 32,500 words.
This makes it 44% the length of the average book. It also has 40% more words than the average book.
How Long Does it Take to Read Irrational Numbers and Their Representation by Sequences and Series Aloud?
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 57 minutes to read Irrational Numbers and Their Representation by Sequences and Series aloud.
What Reading Level is Irrational Numbers and Their Representation by Sequences and Series?
Irrational Numbers and Their Representation by Sequences and Series 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 Irrational Numbers and Their Representation by Sequences and Series?
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