logo
Product categories

EbookNice.com

Most ebook files are in PDF format, so you can easily read them using various software such as Foxit Reader or directly on the Google Chrome browser.
Some ebook files are released by publishers in other formats such as .awz, .mobi, .epub, .fb2, etc. You may need to install specific software to read these formats on mobile/PC, such as Calibre.

Please read the tutorial at this link.  https://ebooknice.com/page/post?id=faq


We offer FREE conversion to the popular formats you request; however, this may take some time. Therefore, right after payment, please email us, and we will try to provide the service as quickly as possible.


For some exceptional file formats or broken links (if any), please refrain from opening any disputes. Instead, email us first, and we will try to assist within a maximum of 6 hours.

EbookNice Team

(Ebook) A Course in Analysis Volume II: Differentiation and integration of Functions of Several Variables, Vector Calculus by Niels Jacob, Kristian P Evans ISBN 9789813140950, 9789813140967, 9789814689939, 981314095X, 9813140968, 9814689939, B01KGZL9OO

  • SKU: EBN-12059046
Zoomable Image
$ 32 $ 40 (-20%)

Status:

Available

5.0

15 reviews
Instant download (eBook) A Course in Analysis Volume II: Differentiation and integration of Functions of Several Variables, Vector Calculus after payment.
Authors:Niels Jacob, Kristian P Evans
Pages:815 pages.
Year:2016
Editon:1
Publisher:World Scientific, World Scientific Publishing Co. Pte. Ltd.
Language:english
File Size:22.61 MB
Format:pdf
ISBNS:9789813140950, 9789813140967, 9789814689939, 981314095X, 9813140968, 9814689939, B01KGZL9OO
Categories: Ebooks

Product desciption

(Ebook) A Course in Analysis Volume II: Differentiation and integration of Functions of Several Variables, Vector Calculus by Niels Jacob, Kristian P Evans ISBN 9789813140950, 9789813140967, 9789814689939, 981314095X, 9813140968, 9814689939, B01KGZL9OO

[This is a conversion to pdf. It is one of the better conversions. The text is copyable and searchable.]

Main subject categories: • Analysis • Vector calculus • Functions of several variable

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.

Readership: Undergraduate students in mathematics.

*Free conversion of into popular formats such as PDF, DOCX, DOC, AZW, EPUB, and MOBI after payment.

Related Products