An Illustrative Guide to Multivariable and Vector Calculus

Stanley J. Miklavcic

Informasi Umum

Kode

20.21.2009

Klasifikasi

515.62 - Calculus of finite differences

Jenis

Buku - Elektronik (E-Book)

Subjek

Calculus, Vector Analysis,

No. Rak

Dilihat

566 kali

Informasi Lainnya

Abstraksi

This book originated as a set of lectures prepared for courses given by me at the University of Linköping in Sweden and at the University of South Australia in Australia. At Linköping University the material (apart from Section 3.E) was delivered in a second year, single semester course (14 weeks, 2 two-hour lectures per week) to engineering students, with the first half focused on the differential calculus of real-valued multivariable functions, while the second half was divided between integral calculus and vector calculus. At the University of South Australia the subject was delivered in two separate semester courses (12 weeks, 2 two-hour lectures per week), the first of which was offered to second year engineering, science and mathematics students and featured differential and integral calculus, including an introduction to partial differential equations. The second course, taken mostly by third year mathematics and science students, dealt with vector calculus, although only the first five weeks of that course was covered by the material in this book.

The lectures generally were so well-received by students that it was thought the material might appeal to a wider audience. Having taken the decision to convert my notes into a book, I aimed for a document of manageable size rather than generate yet another bulky tome on calculus. The result is a book that students can carry easily to and from class, can take out and leaf through on the library lawn, or in a booth of a pub, or while lying on the banks of a river waiting for the fish to bite.