How Long to Read The Bochner Integral

How Long Does it Take to Read The Bochner Integral?

It takes the average reader 4 hours and 11 minutes to read The Bochner Integral by J. Mikusinski

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

Description

The theory of the Lebesgue integral is still considered as a difficult theory, no matter whether it is based the concept of measure or introduced by other methods. The primary aim of this book is to give an approach which would be as intelligible and lucid as possible. Our definition, produced in Chapter I, requires for its background only a little of the theory of absolutely convergent series so that it is understandable for students of the first undergraduate course. Nevertheless, it yields the Lebesgue integral in its full generality and, moreover, extends automatically to the Bochner integral (by replacing real coefficients of series by elements of a Banach space). It seems that our approach is simple enough as to eliminate the less useful Riemann integration theory from regular mathematics courses. Intuitively, the difference between various approaches to integration may be brought out by the following story on shoemakers. A piece of leather, like in Figure 1, is given. The task consists in measuring its area. There are three shoemakers and each of them solves the task in his own way. A B Fig. 1 The shoemaker R. divides the leather into a finite number of vertical strips and considers the strips approximately as rectangles. The sum of areas of all rectangles is taken for an approximate area of the leather (Figure 2). If he is not satisfied with the obtained exactitude, he repeats the whole procedure, by dividing the leather into thinner strips.

How long is The Bochner Integral?

The Bochner Integral by J. Mikusinski is 246 pages long, and a total of 62,976 words.

This makes it 83% the length of the average book. It also has 77% more words than the average book.

How Long Does it Take to Read The Bochner Integral Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 44 minutes to read The Bochner Integral aloud.

What Reading Level is The Bochner Integral?

The Bochner Integral 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 The Bochner Integral?

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