Hardcover. 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. Suitable as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis, this book intends to present the fundamental concepts within the context of examples and exercises. It starts with the creation of basic tools using the completeness axiom. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9780821847916

Contact seller

Report this item

Bibliographic Details

Title: Advanced Calculus (Hardcover)
Publisher: American Mathematical Society, Providence
Publication Date: 2009
Language: English
ISBN 10: 0821847910
ISBN 13: 9780821847916
Binding: Hardcover
Edition: 2nd Edition
Condition: new

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

Visit Seller's Storefront

Seller's business information

The Nile Group Pty Ltd
42 Apex Drive, Truganina, VIC, 3029, Australia

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

Please note that titles are dispatched from our UK and NZ warehouse. Delivery times specified in shipping terms. Orders ship within 2 business days. Delivery to your door then takes 8-15 days.

Shipping rates from Australia to U.S.A.

Shipping rates from Australia to U.S.A.
Order quantity	25 to 45 business days	8 to 14 business days
First item	US$ 37.00	US$ 44.00

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.