Tracked shipping to South Africa with premium packaging for just R199 

Ship to
South Africa
0

My Account

  • argentina
  • chile
  • colombia
  • españa
  • méxico
  • perú
  • estados unidos
  • internacional

menu

Select your country

Americas

Europe

Rest of the world

portada Course in Analysis, a - Vol. Ii: Differentiation and Integration of Functions of Several Variables, Vector Calculus: Volume 2
Type
Physical Book
Publisher
Author
Year
2016
Language
English
Pages
788
Format
Paperback
ISBN13
9789813140967
Edition No.
1
Categories

Course in Analysis, a - Vol. Ii: Differentiation and Integration of Functions of Several Variables, Vector Calculus: Volume 2

Kristian P. Evans; Niels Jacob (Author) · World Scientific Publishing Co Pte Ltd · Paperback

Course in Analysis, a - Vol. Ii: Differentiation and Integration of Functions of Several Variables, Vector Calculus: Volume 2 - Kristian P. Evans; Niels Jacob

Cheaper New Book Imported to South Africa
Delivery: 02 Dec - 11 Dec Shipping: 12 to 16 business days.
R 1,643
Faster New Book Imported to South Africa
Delivery: 24 Nov - 30 Nov Shipping: 6 to 7 business days.
R 1,792
R 1,643

Choose the list to add your product or create one New List

Go to My Wishlists
Calculate shipping cost

Synopsis "Course in Analysis, a - Vol. Ii: Differentiation and Integration of Functions of Several Variables, Vector Calculus: Volume 2 "

This is the second volume of "A Course in Analysis" and it is devoted to the study of mappings between subsets of Euclidean spaces. The metric, hence the topological structure is discussed as well as the continuity of mappings. This is followed by introducing partial derivatives of real-valued functions and the differential of mappings. Many chapters deal with applications, in particular to geometry (parametric curves and surfaces, convexity), but topics such as extreme values and Lagrange multipliers, or curvilinear coordinates are considered too. On the more abstract side results such as the Stone–Weierstrass theorem or the Arzela–Ascoli theorem are proved in detail. The first part ends with a rigorous treatment of line integrals. The second part handles iterated and volume integrals for real-valued functions. Here we develop the Riemann (–Darboux–Jordan) theory. A whole chapter is devoted to boundaries and Jordan measurability of domains. We also handle in detail improper integrals and give some of their applications. The final part of this volume takes up a first discussion of vector calculus. Here we present a working mathematician's version of Green's, Gauss' and Stokes' theorem. Again some emphasis is given to applications, for example to the study of partial differential equations. At the same time we prepare the student to understand why these theorems and related objects such as surface integrals demand a much more advanced theory which we will develop in later volumes. This volume offers more than 260 problems solved in complete detail which should be of great benefit to every serious student.

Customers reviews

More customer reviews
  • 0% (0)
  • 0% (0)
  • 0% (0)
  • 0% (0)
  • 0% (0)

Frequently Asked Questions about the Book

Is the book original?

All books in our catalog are Original.

In what language is the book written?

The book is written in English.

What is the format of this book?

The binding of this edition is Paperback.

Questions and Answers about the Book

Do you have a question about the book? Login to be able to add your own question.

Opinions about Bookdelivery

More customer reviews