Functions of Two Variables - Softcover

Dineen, Seán

Softcover

ISBN 10: 0412707608 ISBN 13: 9780412707605

Publisher: Springer, 1995

Synopsis

This book was initially based on a short course of twenty lectures, given to second year students at University College Dublin during the autumn of 1992. Later, two chapters on integration theory were added to improve the balance between differential and integral calculus. The students had completed a one year course on differential and integral calculus for real valued functions of one real variable-this is the prerequisite for reading this book-and this course was designed as an introduction to the calculus of several variables. My initial motivation for writing this book was to provide my own stu­ dents with a friendly set of notes that they could read in their entirety. As the book took shape, I realized that I was addressing the subject in a manner somewhat different to the standard texts on several variable cal­ culus. It is difficult to explain precisely why this occurred. Nevertheless, an attempted explanation may also help you, the reader, in your approach and I will try to give a partial one.

About this title

Review

"The whole text is nicely written, and can be strongly recommended as an excellent and comprehensive source, suitable for self-study or classroom use at the undergraduate level. For students demanding motivation, its study will be a rewarding experience." -European Mathematical Society Newsletter, December 2002

Synopsis

Advanced calculus is introduced here in a user-friendly manner. The fundamentals of the subject are clearly identified and presented in a two variable context. The style of the text is informal and the approach problem oriented. Care is taken to motivate concepts prior to their introduction, and to justify them afterwards, to explain the use and abuse of notation and the scope of the techniques developed. Throughout the text a careful balance between intuition, explanation, methodology and justification is maintained, by the careful use of diagrams, heuristic comments, examples, exercises and proofs. This book should be of interest to engineers, economists, mathematicians.

Edition details

• Publisher: Springer
• Publication date: 1995
• Language: English
• ISBN 10: 0412707608
• ISBN 13: 9780412707605
• Binding: Paperback
• Edition number: 1
• Number of pages: 200