How Long to Read Introduction to Analysis in One Variable

By Michael E. Taylor

How Long Does it Take to Read Introduction to Analysis in One Variable?

It takes the average reader 4 hours and 13 minutes to read Introduction to Analysis in One Variable by Michael E. Taylor

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

Description

This is a text for students who have had a three-course calculus sequence and who are ready to explore the logical structure of analysis as the backbone of calculus. It begins with a development of the real numbers, building this system from more basic objects (natural numbers, integers, rational numbers, Cauchy sequences), and it produces basic algebraic and metric properties of the real number line as propositions, rather than axioms. The text also makes use of the complex numbers and incorporates this into the development of differential and integral calculus. For example, it develops the theory of the exponential function for both real and complex arguments, and it makes a geometrical study of the curve (expit) (expit), for real t t, leading to a self-contained development of the trigonometric functions and to a derivation of the Euler identity that is very different from what one typically sees. Further topics include metric spaces, the Stone–Weierstrass theorem, and Fourier series.

How long is Introduction to Analysis in One Variable?

Introduction to Analysis in One Variable by Michael E. Taylor is 247 pages long, and a total of 63,479 words.

This makes it 83% the length of the average book. It also has 78% more words than the average book.

How Long Does it Take to Read Introduction to Analysis in One Variable Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 46 minutes to read Introduction to Analysis in One Variable aloud.

What Reading Level is Introduction to Analysis in One Variable?

Introduction to Analysis in One Variable 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 Introduction to Analysis in One Variable?

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