How Long to Read Introduction to Analysis in Several Variables: Advanced Calculus

By Michael E. Taylor

How Long Does it Take to Read Introduction to Analysis in Several Variables: Advanced Calculus?

It takes the average reader 7 hours and 33 minutes to read Introduction to Analysis in Several Variables: Advanced Calculus by Michael E. Taylor

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

Description

This text was produced for the second part of a two-part sequence on advanced calculus, whose aim is to provide a firm logical foundation for analysis. The first part treats analysis in one variable, and the text at hand treats analysis in several variables. After a review of topics from one-variable analysis and linear algebra, the text treats in succession multivariable differential calculus, including systems of differential equations, and multivariable integral calculus. It builds on this to develop calculus on surfaces in Euclidean space and also on manifolds. It introduces differential forms and establishes a general Stokes formula. It describes various applications of Stokes formula, from harmonic functions to degree theory. The text then studies the differential geometry of surfaces, including geodesics and curvature, and makes contact with degree theory, via the Gauss–Bonnet theorem. The text also takes up Fourier analysis, and bridges this with results on surfaces, via Fourier analysis on spheres and on compact matrix groups.

How long is Introduction to Analysis in Several Variables: Advanced Calculus?

Introduction to Analysis in Several Variables: Advanced Calculus by Michael E. Taylor is 445 pages long, and a total of 113,475 words.

This makes it 150% the length of the average book. It also has 139% more words than the average book.

How Long Does it Take to Read Introduction to Analysis in Several Variables: Advanced Calculus Aloud?

The average oral reading speed is 183 words per minute. This means it takes 10 hours and 20 minutes to read Introduction to Analysis in Several Variables: Advanced Calculus aloud.

What Reading Level is Introduction to Analysis in Several Variables: Advanced Calculus?

Introduction to Analysis in Several Variables: Advanced Calculus 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 Several Variables: Advanced Calculus?

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