Functions of Several Variables by B. D. Craven
  

Synopsis

Functions of Several Variables by B. D. Craven

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.

About the Author

Other Formats

Book Info

Format

Paperback
138 pages

Author

B. D. Craven
More books by B. D. Craven

Publisher

Chapman and Hall

Publication date

10th December 1981

ISBN

9780412233401


It is THE website to use for narrowing down your search for any book. Definitely knocks the socks off any other book review website.

Nickey and Tomasz Hawryszczuk

We love Lovereading4kids because it promotes reading choices, new authors and a sense of community for children of all ages!

Rachel Bridgeman

It is fantastic, you get to read lots of books and you always find something new and amazing in them.

Erica Motoc, age 7

LoveReading4Kids is a modern and creative way of emphasising the value and importance of books in this digital age #booksforlife

Amrit Bunet – Teen

At @HHSHaringey we love @lovereading4kids because our pupils can practice reviewing & get free upcoming books before anyone else!

Helen Swinyard – Heartlands High

Writing reviews help the children with their literacy skills and we always read the books together which gives us good quality family time!

Cat Bisland (on behalf of the Bi

You give me age appropriate ideas of books I can read and buy for the children and find out what other children their age think of them too.

Katie Lonsdale

Lovereading is just a convenient way to find new books and hear others opinions on them.

Sarah Murray – age 15
Lovereading

Lovereading 4 schools