ADVANCED CALCULUS (REVISED EDITION) - Hardcover

Loomis, Lynn Harold; Sternberg, Shlomo Zvi

Hardcover

ISBN 10: 9814583928 ISBN 13: 9789814583923

Publisher: World Scientific Publishing Company, 2014

Synopsis

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

About this title

From the Inside Flap:

This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.

The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.

In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

About the Author:

Susan Hood is the author of more than 200 children s books, including Leaps and Bounce and Rooting for You (both illustrated by Matthew Cordell); Ada s Violin: The Story of the Recycled Orchestra of Paraguay (illustrated by Sally Wern Comport); and Mission: Back to School (with art by Mary Lundquist), among many others. She has worked as an editor for Nick Jr., Sesame Street, and Scholastic, and when not writing, she enjoys fixing up old houses and sailboats with her husband the original fix-it man! Visit www.susanhoodbooks.com.

About this edition

• Publisher: World Scientific Publishing Company
• Publication date: 2014
• ISBN 10: 9814583928
• ISBN 13: 9789814583923
• Binding: Hardcover
• Number of pages: 596