A Concise Introduction to Analysis

Language: English

Published by Palgrave Macmillan, 2015

3319244671 / 9783319244679

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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nach der Bestellung gedruckt Neuware - Printed after ordering - This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and the divergence theorem. These are used in the final chapter to derive Cauchy's formula, which is then applied to prove some of the basic properties of analytic functions.Among the unusual features of this book is the treatment of analytic function theory as an application of ideas and results in real analysis. For instance, Cauchy's integral formula for analytic functions is derived as an application of the divergence theorem. The last section of each chapter is devoted to exercises that should be viewed as an integral part of the text.A Concise Introduction to Analysis should appeal to upper level undergraduate mathematics students,graduate students in fields where mathematics is used, as well as to those wishing to supplement their mathematical education on their own. Wherever possible, an attempt has been made to give interesting examples that demonstrate how the ideas are used and why it is important to have a rigorous grasp of them.

Seller Inventory # 9783319244679

Title
A Concise Introduction to Analysis
Author
Daniel W. Stroock
Publisher
Palgrave Macmillan
Publication year
2015
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319244671
ISBN 13
9783319244679
Item weight
359 grams
Dimensions
235x155x13 mm

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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