How Long to Read Functions of several variables

By B. Craven

How Long Does it Take to Read Functions of several variables?

It takes the average reader 2 hours and 27 minutes to read Functions of several variables by B. Craven

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

Description

This book is aimed at mathematics students, typically in the second year of a university course. The first chapter, however, is suitable for first-year students. Differentiable functions are treated initially from the standpoint of approximating a curved surface locally by a fiat surface. This enables both geometric intuition, and some elementary matrix algebra, to be put to effective use. In Chapter 2, the required theorems - chain rule, inverse and implicit function theorems, etc- are stated, and proved (for n variables), concisely and rigorously. Chapter 3 deals with maxima and minima, including problems with equality and inequality constraints. The chapter includes criteria for discriminating between maxima, minima and saddlepoints for constrained problems; this material is relevant for applications, but most textbooks omit it. In Chapter 4, integration over areas, volumes, curves and surfaces is developed, and both the change-of-variable formula, and the Gauss-Green-Stokes set of theorems are obtained. The integrals are defined with approximative sums (ex pressed concisely by using step-functions); this preserves some geometrical (and physical) concept of what is happening. Consequent on this, the main ideas of the 'differential form' approach are presented, in a simple form which avoids much of the usual length and complexity. Many examples and exercises are included.

How long is Functions of several variables?

Functions of several variables by B. Craven is 145 pages long, and a total of 36,975 words.

This makes it 49% the length of the average book. It also has 45% more words than the average book.

How Long Does it Take to Read Functions of several variables Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 22 minutes to read Functions of several variables aloud.

What Reading Level is Functions of several variables?

Functions of several variables is suitable for students ages 10 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 Functions of several variables?

Functions of several variables by B. Craven is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy Functions of several variables by B. Craven on Amazon click the button below.

Buy Functions of several variables on Amazon