Advanced Calculus (Revised Edition)

Autor: Shlomo Sternberg, Lynn Harold Loomis

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Editura: World Scientific Publishing Co Pte Ltd

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438.88 lei

This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The...

Informații despre carte

Autor

Shlomo Sternberg, Lynn Harold Loomis

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2014

Pagini

596

EAN

9789814583923

ISBN

9814583928

Enbook ID

05071271

Editura

World Scientific Publishing Co Pte Ltd

Greutate

1136

Dimensiuni

176 x 252 x 37

Descriere completă

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.

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Advanced Calculus (Revised Edition)

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