How Long to Read A Course in Analysis

How Long Does it Take to Read A Course in Analysis?

It takes the average reader 13 hours and 12 minutes to read A Course in Analysis by Niels Jacob

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

Description

Part 1 begins with an overview of properties of the real numbers and starts to introduce the notions of set theory. The absolute value and in particular inequalities are considered in great detail before functions and their basic properties are handled. From this the authors move to differential and integral calculus. Many examples are discussed. Proofs not depending on a deeper understanding of the completeness of the real numbers are provided. As a typical calculus module, this part is thought as an interface from school to university analysis. Part 2 returns to the structure of the real numbers, most of all to the problem of their completeness which is discussed in great depth. Once the completeness of the real line is settled the authors revisit the main results of Part 1 and provide complete proofs. Moreover they develop differential and integral calculus on a rigorous basis much further by discussing uniform convergence and the interchanging of limits, infinite series (including Taylor series) and infinite products, improper integrals and the gamma function. In addition they discussed in more detail as usual monotone and convex functions. Finally, the authors supply a number of Appendices, among them Appendices on basic mathematical logic, more on set theory, the Peano axioms and mathematical induction, and on further discussions of the completeness of the real numbers. Remarkably, Volume I contains ca. 360 problems with complete, detailed solutions.

How long is A Course in Analysis?

A Course in Analysis by Niels Jacob is 768 pages long, and a total of 198,144 words.

This makes it 259% the length of the average book. It also has 242% more words than the average book.

How Long Does it Take to Read A Course in Analysis Aloud?

The average oral reading speed is 183 words per minute. This means it takes 18 hours and 2 minutes to read A Course in Analysis aloud.

What Reading Level is A Course in Analysis?

A Course in Analysis 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 A Course in Analysis?

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