How Long to Read Differential Calculas in Normed Linear Spaces

How Long Does it Take to Read Differential Calculas in Normed Linear Spaces?

It takes the average reader 5 hours and 9 minutes to read Differential Calculas in Normed Linear Spaces by Kalyan Mukherjea

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

Description

This book presents Advanced Calculus from a geometric point of view: instead of dealing with partial derivatives of functions of several variables, the derivative of the function is treated as a linear transformation between normed linear spaces. Not only does this lead to a simplified and transparent exposition of "difficult" results like the Inverse and Implicit Function Theorems but also permits, without any extra effort, a discussion of the Differential Calculus of functions defined on infinite dimensional Hilbert or Banach spaces.The prerequisites demanded of the reader are modest: a sound understanding of convergence of sequences and series of real numbers, the continuity and differentiability properties of functions of a real variable and a little Linear Algebra should provide adequate background for understanding the book. The first two chapters cover much of the more advanced background material on Linear Algebra (like dual spaces, multilinear functions and tensor products.) Chapter 3 gives an ab initio exposition of the basic results concerning the topology of metric spaces, particularly of normed linear spaces.The last chapter deals with miscellaneous applications of the Differential Calculus including an introduction to the Calculus of Variations. As a corollary to this, there is a brief discussion of geodesics in Euclidean and hyperbolic planes and non-Euclidean geometry.

How long is Differential Calculas in Normed Linear Spaces?

Differential Calculas in Normed Linear Spaces by Kalyan Mukherjea is 299 pages long, and a total of 77,441 words.

This makes it 101% the length of the average book. It also has 95% more words than the average book.

How Long Does it Take to Read Differential Calculas in Normed Linear Spaces Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 3 minutes to read Differential Calculas in Normed Linear Spaces aloud.

What Reading Level is Differential Calculas in Normed Linear Spaces?

Differential Calculas in Normed Linear Spaces 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 Differential Calculas in Normed Linear Spaces?

Differential Calculas in Normed Linear Spaces by Kalyan Mukherjea is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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