Advanced Calculus (Revised Edition)

Autor: Shlomo Sternberg, Lynn Harold Loomis

Język:

Oprawa: Miękka

Wydawca: World Scientific Publishing Co Pte Ltd

Dostępność: Dostępna u dostawcy

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

Informacje o książce

Autor

Shlomo Sternberg, Lynn Harold Loomis

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2014

strony

596

EAN

9789814583930

ISBN

9814583936

Enbook ID

05071272

Wydawca

World Scientific Publishing Co Pte Ltd

Waga

1034

Wymiary

248 x 169 x 32

Pełny opis

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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