Functions of Two Variables - Tapa blanda

Dineen, Seán

 
9780412707605: Functions of Two Variables

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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.

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Otras ediciones populares con el mismo título