Functions of Two Variables - Couverture souple

Dineen, Seán

Couverture souple

ISBN 10 : 0412707608 ISBN 13 : 9780412707605

Editeur : CRC Press, 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.

A propos du livre

Présentation de l'éditeur

Multivariate calculus, as traditionally presented, can overwhelm students who approach it directly from a one-variable calculus background. There is another way-a highly engaging way that does not neglect readers' own intuition, experience, and excitement. One that presents the fundamentals of the subject in a two-variable context and was set forth in the popular first edition of Functions of Two Variables.

The second edition goes even further toward a treatment that is at once gentle but rigorous, atypical yet logical, and ultimately an ideal introduction to a subject important to careers both within and outside of mathematics. The author's style remains informal and his approach problem-oriented. He takes care 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.

Functions of Two Variables, Second Edition includes a new section on tangent lines, more emphasis on the chain rule, a rearrangement of several chapters, refined examples, and more exercises. It maintains a balance between intuition, explanation, methodology, and justification, enhanced by diagrams, heuristic comments, examples, exercises, and proofs.

Détails de l'édition

• Éditeur: CRC Press
• Date d'édition: 1995
• Langue: anglais
• ISBN 10: 0412707608
• ISBN 13: 9780412707605
• Reliure: Broché
• Nombre de pages: 192
• Coordonnées du fabricant: Springer-Verlag GmbH; customerservice@springernature.com; ; Tiergartenstraße 17; Heidelberg; Baden-Württemberg; 69121; Allemagne