Title: Advanced Calculus (Pure and Applied Undergraduate Texts: The Sally Series)
Publisher: American Mathematical Society
Publication Date: 2009
Language: English
ISBN 10: 0821847910
ISBN 13: 9780821847916
Binding: Hardcover
Edition: 2nd Edition
Condition: Very Good

About this title

Synopsis

Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables. Special attention has been paid to the motivation for proofs. Selected topics, such as the Picard Existence Theorem for differential equations, have been included in such a way that selections may be made while preserving a fluid presentation of the essential material. Supplemented with numerous exercises, Advanced Calculus is a perfect book for undergraduate students of analysis.

About the Author

Patrick M. Fitzpatrick is Professor and Chair of Mathematics at the University of Maryland, College Park.

"About this title" may belong to another edition of this title.

Store Description

We offer a wide variety of books including fiction and non-fiction titles.

Visit Seller's Storefront

Seller's business information

SBYB, Inc.
900 Knell Rd, Montgomery, IL, 60538, U.S.A.

Sale & Shipping Terms

Terms of Sale

We guarantee the condition of every book as it's described on the Abebooks web sites. If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date. If you've changed your mind about a book that you've ordered, please use the Ask bookseller a question link to contact us and we'll respond within 2 business days.

Shipping Terms

Shipping costs are based on books weighing 2.2 LB, or 1 KG. If your book order is heavy or oversized, we may contact you to let you know extra shipping is required.